Answer:
3/4
Step-by-step explanation:
tan C = opp/adj
For angle C, the opposite leg is 6, and the adjacent leg is 8.
tan C = 6/8 = 3/4
Answer: 3/4
The perimeter of a rectangle is 36 cm and the length is twice the width. What are
the dimensions of this rectangle?
Width? _____ cm
Length? ____ cm
Answer:
Width __6___ cm
Length __12__ cm
Step-by-step explanation:
hello :
x : the width and y : Length P : the perimeter
P=2(x+y ) but : P=36cm and : y = 2x
36 = 2(x+2x)
36 = 2(3x)
6x =36 so : x=6 cm and y = 2×6=12cm
Step-by-step explanation:
If breadth is b,then length will be 2b,so
Perimeter=36
2(2b+b)=36
3b=18
b=6,so,l=2×6=12
So,length is 12 and breadth is 6,
Hope it helps…
a data analytics firm hired by a republican candidate running for political office wants to test whether its practices were successful in increasing voter turnout among registered republicans. the firm collects data in a random selection of cities before this candidate ran for office and for this candidate's election. determine the null and alternative hypotheses for an appropriate hypothesis test. let the difference d for each city be computed as d
The null hypothesis (H0) in this case would be that the data analytics firm's practices did not have any effect on increasing voter turnout among registered Republicans. In other words, there is no difference in voter turnout before and after the candidate ran for office.
The alternative hypothesis (Ha) would be that the data analytics firm's practices were successful in increasing voter turnout among registered Republicans. This means that there is a difference in voter turnout before and after the candidate ran for office, and this difference can be attributed to the firm's practices.
To summarize:
Null hypothesis (H0): The data analytics firm's practices did not have any effect on increasing voter turnout among registered Republicans.
Alternative hypothesis (Ha): The data analytics firm's practices were successful in increasing voter turnout among registered Republicans.
To know more about data analytics visit:
brainly.com/question/18297038
#SPJ11
If tan a = 9/40
use trigonometric identities to find the values of sin a and cos a.
Answer:
see explanation
Step-by-step explanation:
Given
tan a = \(\frac{9}{40}\) = \(\frac{opposite}{adjacent}\)
We require the hypotenuse h
Using Pythagoras' identity
h² = 9² + 40² = 81 + 1600 = 1681 ( take square root of both sides )
h = \(\sqrt{1681}\) = 41 , thus
sin a = \(\frac{opposite}{hypotenuse}\) = \(\frac{9}{41}\)
cos a = \(\frac{adjacent}{hypotenuse}\) = \(\frac{40}{41}\)
y = }(x+6) - 5
m=
ba
b=
Find the coordinates of the centroid of the triangle with the given vertices.
D(2,-8), E(2, -2), F(8, -2)
Finding the centroid of a triangle is an important task in mathematics as it helps in determining the center of mass of the triangle. The centroid is a point where all three medians of the triangle intersect. A median is a line segment that connects a vertex to the midpoint of the opposite side. In this case, we have been given the vertices of a triangle, and we need to find its centroid. The given vertices are D(2,-8), E(2, -2), F(8, -2).
To find the centroid of the triangle, we need to first find the coordinates of the midpoints of each side. We can do this by using the midpoint formula which states that the midpoint of a line segment with endpoints (x1, y1) and (x2, y2) is ((x1+x2)/2, (y1+y2)/2). Using this formula, we find that the midpoints of the sides are (2, -5), (5, -2), and (5, -5).
Next, we need to find the equation of the medians. We can do this by using the point-slope formula which states that the equation of a line passing through a point (x1, y1) with slope m is y-y1=m(x-x1). Using this formula, we find that the equations of the medians passing through the midpoints (2, -5), (5, -2), and (5, -5) are x=3.5, y=-5/3 x - 11/3, and y=-x+10, respectively.
Finally, we find the point of intersection of these three medians to get the centroid of the triangle. Solving the equations, we find that the centroid is at (5, -4). Therefore, the coordinates of the centroid of the triangle with vertices D(2,-8), E(2, -2), F(8, -2) are (5, -4).
To know more about centroid , visit:
https://brainly.com/question/29868871
#SPJ11
student decides to investigate how effective washing with soap is in eliminating bacteria. to do this, she tested four different methods: washing with water only, washing with regular soap, washing with antibacterial soap, and spraying hands with an antibacterial spray (containing 65% ethanol as an active ingredient). she suspected that the number of bacterial on her hands before washing might vary considerably from day to day. to help even out the effects of those changes, she generated random numbers to determine the order of the four treatments. each morning she washed her hands according to the treatment randomly chosen. then she placed her right hand on a sterile media plate designed to encourage bacterial growth. she incubated each play for 2 days at 360c360c, after which she counted the number of bacteria colonies. she replicated this procedure 8 times for each of the four treatments. the data for the bacteria study is given in the file bacteria.csv on canvas. remember that higher bacteria count means dirtier hands after washin
The higher bacterial count means dirtier hands after washing.
Given data: A student decides to investigate how effective washing with soap is in eliminating bacteria. To do this, she tested four different methods: washing with water only, washing with regular soap, washing with antibacterial soap, and spraying hands with an antibacterial spray (containing 65% ethanol as an active ingredient). She suspected that the number of bacteria on her hands before washing might vary considerably from day to day. To help even out the effects of those changes, she generated random numbers to determine the order of the four treatments.
Each morning she washed her hands according to the treatment randomly chosen. Then she placed her right hand on a sterile media plate designed to encourage bacterial growth. She incubated each play for 2 days at 360C, after which she counted the number of bacteria colonies. She replicated this procedure 8 times for each of the four treatments. Remember that higher bacteria count means dirtier hands after washing.
Therefore, from the given data, a student conducted an experiment to investigate how effective washing with soap is in eliminating bacteria. For this, she used four different methods: washing with water only, washing with regular soap, washing with antibacterial soap, and spraying hands with an antibacterial spray (containing 65% ethanol as an active ingredient). The higher bacterial count means dirtier hands after washing.
Learn more about bacterial count visit:
brainly.com/question/31622568
#SPJ11
in a recent year, a hospital had 4126 births. Find the mean number of births per day, then use that result and the poisson distribution to find the probability that in a day, there are 14 births. Does it appear likely that on any given day, there will be exactly 14 births?
While it is not very likely that there will be exactly 14 births on any given day, it is still possible, and the probability of it happening is about 8.3%.
Let's start by calculating the mean or average number of births per day. To do this, we divide the total number of births in a year (4126) by the number of days in a year. Since there are 365 days in a year, the mean number of births per day is:
4126 / 365 = 11.3
This means that on average, there are about 11 to 12 births per day in this hospital.
In this case, the average rate of occurrence is 11.3 births per day. Using the Poisson distribution formula, we can calculate the probability of having 14 births in a day as follows:
P(X=14) = (e⁻¹¹°³) x (11.3¹⁴) / 14!
where e is the mathematical constant approximately equal to 2.71828, X is the random variable representing the number of births in a day, and ! represents the factorial function.
Using a calculator or a software tool, we get:
P(X=14) = 0.083
This means that the probability of having exactly 14 births in a day is about 8.3%.
To know more about probability here
https://brainly.com/question/11234923
#SPJ1
for the pseudo-code program below and its auxiliary function: x = 8 y = 50 sqr(x) print y define sqr(x) a = x * x return a the output of the print statement will be:
The output of the print statement will be "50".
In the given pseudo-code program, the variable x is assigned a value of 8, and the variable y is assigned a value of 50. Then, the program calls the auxiliary function sqr(x) and passes the value of x as an argument.
The sqr(x) function takes the input x and squares it by multiplying x with itself. In this case, since x is 8, sqr(x) will return the value 64.
After calling the sqr(x) function, the program executes the print statement, which outputs the value of y. Since y is assigned the value 50 and is not modified anywhere else in the program, the output of the print statement will be "50".
To know more about output,
https://brainly.com/question/31756900
#SPJ11
What is 32% as a fraction in simplest form?
Answer:
8/25
Step-by-step explanation:
32/100
simplified: 8/25
PLEASE HELP ASAP! WRITE A SHORT PARAGRAPH PLEASE!
How would you use the 60° angle to find sine and cosine of 120°, 240°, and 300°?
Answer:
120° will be found on in the second quadrant of the unit circle. Specifically, the reference angle will be 60°. This is because the angle measurement starts from the positive x axis, and rotates 120° counter-clockwise. The angle formed at this point between the line and the x-axis (negative direction) is 60°.
The special right triangle formed will have a hypotenuse of 1, and a reference angle of 60°.
We know that the adjacent line, the line opposite the 30° angle, will be 1/2 the hypotenuse, or -1/2. Negative because it goes in the negative x direction.
The opposite end, or vertical side, will be √3/2.
sin(120) = opposite/hypotenuse = √3/2 ÷ 1 = √3/2
cos (120) = adjacent/hypotenuse = (-1/2) / 1 = -1/2
tan (120) = opposite / adjacent = (√3/2) / (-1/2) = -√3
Step-by-step explanation:
Hope this helps...
find the euler equation that represents the relationship between current-period consumption and future-period consumption in the optimum.
The Euler equation represents the relationship between current-period consumption and future-period consumption in the optimum. It is derived from intertemporal optimization in economics.
In the context of consumption, the Euler equation can be expressed as:
u'(Ct) = β * u'(Ct+1)
where:
- u'(Ct) represents the marginal utility of consumption in the current period,
- Ct represents current-period consumption,
- β is the discount factor representing the individual's time preference,
- u'(Ct+1) represents the marginal utility of consumption in the future period.
This equation states that the marginal utility of consumption in the current period is equal to the discounted marginal utility of consumption in the future period. It implies that individuals make consumption decisions by considering the trade-off between present and future utility.
Note: The Euler equation assumes a constant discount factor and a utility function that is differentiable and strictly concave.
To know more about marginal utility related question visit:
https://brainly.com/question/30841513
#SPJ11
Write the statement "--5 times x subtracted from 22 is less than 9 more than
x" as a mathematical inequality. I dont know this sorry
Answer:
5x-22<9<x
Step-by-step explanation:
5 times x = 5x
subtract 22 = 5x-22
less then = 5x-22<
9 more then x = 5x-22<9<x
Find the area between the curves f(x) = sin^(2)(2x) and g(x) =
tan^(2)(x) on the interval [0, π/3 ] as accurately as possible.
Area between the curve is -0.023 square units on the interval.
The area between the curve \(f(x) = sin^2(2x) and g(x) = tan^2(x)\) on the interval [0, π/3] as accurately as possible is to be calculated. The graphs of \(f(x) = sin^2(2x)\) and\(g(x) = tan^2(x)\) on the given interval are to be plotted and the area between the graphs is to be calculated as shown below: Interval: [0, π/3]
Graph:\(f(x) = sin^2(2x)g(x) = tan^2(x)\) The area between the two graphs on the given interval is to be calculated.The graph of tan²(x) intersects the x-axis at x = nπ, where n is an integer. Thus,\(tan^2(x)\) intersects the x-axis at x = 0 and x = π.
The intersection point of \(f(x) = sin^2(2x), g(x) = tan^2(x)\)is to be found by equating f(x) and g(x) and solving for x as shown below:sin²(2x) = tan²(x)sin²(2x) - tan²(x) = 0(sin(2x) + tan(x))(sin(2x) - tan(x)) = 0sin(2x) + tan(x) = 0 or sin(2x) - tan(x) = 0tan(x) = - sin(2x) or tan(x) = sin(2x)\(sin(2x)\)
Using the graph of tan(x) and sin(2x), the solution x = 0.384 is obtained for the equation tan(x) = sin(2x) in the given interval.Substituting the values of f(0.384) and g(0.384) into the expression for the area between the graphs using integral calculus:
\(∫[0,π/3] (sin²(2x) - tan²(x)) dx = [∫[0,0.384] (sin²(2x) - tan²(x)) dx] + [∫[0.384,π/3] (sin²(2x) - tan²(x)) dx]\)
Using substitution, u = 2x for the first integral and u = x for the second integral:
\(∫[0,π/3] (sin²(2x) - tan²(x)) dx= [1/2 ∫[0,0.768] (sin²(u) - tan²(u/2)) du] + [-∫[0.384,π/3] (tan²(u/2) - sin²(u/2)) du]\)
Evaluating each integral using integral calculus, the expression for the area between the curves on the interval [0, π/3] as accurately as possible is given by: \([1/2 (-1/2 cos(4x) + x) [0,0.768] - 1/2 (cos(u) + u) [0.384, π/3]] = [0.198 - 0.221]\) = -0.023 square units.
Answer: -0.023 square units.
Learn more about curve here:
https://brainly.com/question/32535381
#SPJ11
a sum of money was divided between two friends, karen and Natasha in the ratio 2:5. If Natasha received $120 more than karen, find the sum of money shared
Answer:
$600
Step-by-step explanation:
Let x be the total amount divided
Karen gets (2/7) x
Natasha gets (5/7) x
(5/7) x = (2/7) x + 210
Multiply both sides by 7
5x = 2x + 1470
3x = 1470
x = 490
Natasha gets (5/7) (490) = 350
Karen gets (2/7)(490) = 140
The difference in ration is 5 - 3 = 2. So divide 150 by 2 to get the amount for each part of the ratio which is 75. the total ration is 3 + 5 = 8. So to get the total original sum of money, multiply 75 and 8 which is $600. for each person just multiply 75 with their respective ratios. For A: 75 X 3 = $225. For B: 75 x 5= $375. To check that it is correct add 225 and 375, and you should get 600.
according to my calculations, the starting amount will be 600
Answer:
$280
Step-by-step explanation:
Ratio = 2 : 5
Karen's Share = 2x
Natasha's share = 5x
Natasha received $120 more than karen.
5x = 2x + 120
5x - 2x = 120
3x = 120
x = 120/3
x = 40
Karen's share = 2*40 = $ 80
Natasha's share = 5*40 = $ 200
Sum of money = 80 +200 = $ 280
write the constant of proportionality (k). Write an equation (y=kx)
Answer: hmmmm
Step-by-step explanation:
A wire, 24 meters in length, is attached from the top of a post to a stake in the ground. The measure of the angle that the wire makes with the ground is 36° Find to the nearest senth of a meter the distance from the stake to the foot of the post
given the information on the problem, we can draw the following diagram:
then, we can use the cosine function to find the distance from the stake to the foot of the post:
\(\begin{gathered} \cos (36)=\frac{\text{adjacent side}}{hypotenuse}=\frac{x}{24} \\ \Rightarrow x=24\cdot\cos (36)=19.4 \\ x=19.4 \end{gathered}\)therefore, the distance is 19.4 m
Cool Down: A Pot of Water
The function W gives the temperature, in degrees Fahrenheit, of a pot of water on a stove
t minutes after the stove is turned on. After 30 minutes, the pot is taken off the stove.
The range would be [75,212] because the lowest Y value is 75 and the greatest one is around 212.5. .5] a domain and a range.
What is domain and range ?You may recall this by saying "DoLaR RiBiT," where "DoLaR" stands for "domain," "L" and "R" stand for "left to right," "R" stands for "range," and "B" and "T" stand for "bottom to top," and "R" stands for "range." Since the function doesn't approach 250, as can be seen in the graph, 250 is not inside the range.
Between the minimum and greatest value are the numbers that make up the range. The range would be [75,212] because the lowest Y value is 75 and the greatest one is around 212.5. .5] a domain and a range. The collection of values that can be plugged into a function's domain are called its parameters.
To learn more about domain refer to :
https://brainly.com/question/2264373
#SPJ1
Because the lowest Y value is 75 and the highest one is around 212.5, the range would be [75,212].
You may remind yourself of this by repeating "DoLaR RiBiT," where "DoLaR" stands for "domain," "L" and "R" are "left to right," "R" is "range," "B" and "T" are "bottom to top," and "R" is "range." Since the function doesn't approach 250, as can be seen in the graph, 250 is not inside the range.
1. The numbers that make up the range lie between the lowest and highest value. Because the lowest Y value is 75 and the highest one is around 212.5, the range would be [75,212].
The set of values that can be plugged into the domain of a function is referred to as its parameters.
Thus, the range would be [75,212] because the lowest Y value is 75 and the maximum is somewhere around 212.5.
2. The set of all temperatures that the water can attain is the function's range. The temperature of the water rises quickly at first, then more gradually, and after 30 minutes, it levels off and stops rising altogether, as shown by the graph.
As a result, the range of the function is a range of temperatures, beginning at the water's initial temperature and ending at the water's highest temperature.
3. The time at which the water reaches a temperature of 0 degrees Fahrenheit is represented by the equation W(t) = 0. We can observe from the provided graph that the water temperature rises quickly at first and subsequently more gradually.
The water is therefore unlikely to ever reach a temperature of 0 degrees Fahrenheit. As a result, W(t) = 0 cannot be solved.
For more details regarding range, visit:
https://brainly.com/question/29204101
#SPJ6
Topic: Are there more male or female students majoring in MBA at a university?
1- Why are you interested in this topic?
2- What is statement?
3- What is the variable?
4- What is the Population?
5- What is the hypothesis?
6- Sampling:
6.1 Sample size
6.2 Sample selection
7- How to format & check the validity of the hypothesis
8- How to reach a conclusion
Answer:
1:
I am interested in this topic because understanding the gender distribution in MBA programs can provide insights into gender representation and opportunities in business and management education. It is important to analyze whether there are any gender disparities in this field.
2
The statement is to determine whether there are more male or female students majoring in MBA at a specific university.
3
The variable is the gender of the students majoring in MBA.
4
The population is all the students majoring in MBA at the university being studied.
5:
The hypothesis could be: "There is an equal number of male and female students majoring in MBA at the university."
6
6.1 The sample size would depend on the specific study design and the number of MBA students at the university. It should be large enough to provide a representative sample.
6.2 The sample selection should be random or systematic to ensure unbiased representation of the MBA students at the university.
7
To format and check the validity of the hypothesis, statistical analysis can be conducted. This could involve collecting data on the gender of MBA students, analyzing the proportions of male and female students, and performing a hypothesis test using appropriate statistical methods.
8
To reach a conclusion, the results of the statistical analysis need to be interpreted. If the p-value is less than the predetermined significance level (e.g., 0.05), the null hypothesis can be rejected, indicating that there is a significant difference in the number of male and female students majoring in MBA. Conversely, if the p-value is greater than the significance level, we fail to reject the null hypothesis, suggesting that there is no significant difference in the gender distribution.
To learn more about MBA
brainly.com/question/29793769
#SPJ11
Graph a-7<-4
Will give brainlest
No links!!!!
Answer:
\(a\leq 3\)
Step-by-step explanation:
\(a-7\leq -4,\\a\leq3\)
When graphed, an arrow should be drawn pointing left with a solid dot on -3. Since the inequality line provided is not labelled, choose any vertical line and mark it as -3. Then add a solid circle and draw an arrow left, representing that the solutions of this inequality are all real numbers less than -3.
Please help me with this
Answer:
A. complementary
Step-by-step explanation:
Complementary is when 2 angles add up to 90°. Therefore, the angle in the image shown is a 90° angle. Hope this helps :)
Work out the value of the expression 2n + 1 when n= -5.
11
Step-by-step explanation:
2 times 5 +1=11
Answer:
2n+1=-5
2n=-5-1
2n=-6
n=-6÷2
n=-3
In Richmond, Virginia, the average daily high temperature was 90°F for July. The average daily low temperature for the same month was 69°F. If a day's temperature change is measured by comparing the morning/low temperature to the afternoon/high temperature, what is the percent of increase between the average low and high temperatures in July? Round your answer to the tenths place.
Answer:
To find the percent increase between the average low and high temperatures in July, we need to calculate the difference between the average high and low temperatures and then divide that difference by the average low temperature. Finally, we multiply the result by 100 to get the percentage increase.
The difference between the average high and low temperatures is:
90°F - 69°F = 21°F
To find the percentage increase, we need to divide the difference by the average low temperature and multiply by 100:
Percentage increase = (21°F / 69°F) × 100%
≈ 30.4%
Therefore, the percent of increase between the average low and high temperatures in July is approximately 30.4%, rounded to the tenths place.
For the Adjusted R Squared, which of the following is true: a. Is the same R 2
as in the simple linear regression b. Can decrease if the addition of another X regressor does not lower SSR enough relative to the impact of the increase of k by another X regessor. c. Is between 0 and 1 d. Measures the ratio of the sum of squared residuals compared to the total sum of squares
The correct statement is c. The Adjusted R-squared is a measure used in multiple regression analysis that is between 0 and 1. It is different from the R-squared value in simple linear regression.
The Adjusted R-squared can decrease if the addition of another X regressor does not sufficiently lower the sum of squared residuals (SSR) relative to the impact of increasing the number of predictors (k). It measures the proportion of the variance explained by the predictors, adjusted for the number of predictors and the sample size, rather than the ratio of the sum of squared residuals to the total sum of squares. It provides a measure of how well the regression model fits the data, and it ranges between 0 and 1. A value closer to 1 indicates that a higher proportion of the variance in the dependent variable is explained by the predictors.
Adding another X regressor to the multiple regression model can impact the Adjusted R-squared. If the additional regressor does not significantly contribute to reducing the sum of squared residuals (SSR) relative to the increase in the number of predictors (k), the Adjusted R-squared can decrease. This means that the added regressor does not improve the model's ability to explain the variance in the dependent variable adequately.
However, the Adjusted R-squared does not directly measure the ratio of the sum of squared residuals to the total sum of squares. Instead, it represents the proportion of the variance explained by the predictors, adjusted for the number of predictors and the sample size. It penalizes models with a large number of predictors that may overfit the data, thereby providing a more reliable measure of the model's goodness of fit.
Learn more about squared residuals here: brainly.com/question/30641534
#SPJ11
captain rusczyk tracked down a pirate who had stolen $2345 {6}$ dollars worth of goods from his ship. after winning an epic duel, the captain demands that the pirate return $41324 {5}$ dollars. how much has the pirate gone in debt due to his encounter with rusczyk? express your answer in base $10$.
The pirate has gone into debt by $38,979 in base 10 due to his encounter with Captain Rusczyk.
To determine the amount of debt, we need to calculate the difference between the value of the goods the pirate stole and the amount demanded by Captain Rusczyk. The pirate initially stole $2345_6, which means it is in base 6. Converting this to base 10, we have $2\times6^3 + 3\times6^2 + 4\times6^1 + 5\times6^0 = 2\times216 + 3\times36 + 4\times6 + 5\times1 = 432 + 108 + 24 + 5 = 569$.
Captain Rusczyk demanded $41324_5, which means it is in base 5. Converting this to base 10, we have $4\times5^4 + 1\times5^3 + 3\times5^2 + 2\times5^1 + 4\times5^0 = 4\times625 + 1\times125 + 3\times25 + 2\times5 + 4\times1 = 2500 + 125 + 75 + 10 + 4 = 2714$.
Therefore, the pirate has gone into debt by $569 - 2714 = -2145$. Since the pirate owes money, we consider it as a negative value, so the pirate has gone into debt by $38,979 in base 10.
Learn more about negative numbers here: brainly.com/question/258076
#SPJ11
FJSBGFGSDFYAYFAHSDF HELP HELP
Answer:The answer is C
Step-by-step explanation:
Answer:
B
Step-by-step explanation:
5(2)+7=17
5(3)+7=22
5(4)+7=27
5(5)+7=32
Let f(x) = x + 4 and g(x) = x – 3. If g is a vertical translation of f, how many units and in what direction is f translated to form g?
If g is a vertical translation of f, the number of units and in the direction f translated to form g is, 7 units and downward direction
What are functions?Function is a relation between a set of inputs and a set of outputs which are permissible. In a function, for particular values of x we will get only a single image in y. It is denoted by f(x).
Vertical line test:-
Whenever we want to check whether a given expression is a function or not we can apply a vertical line test, in this test we check for a single image of x , we are getting a single image or more.
If we get more images then it will not be a function.
For example, let us take, y² = 4ax
y = ±√4ax
For single value of x we get two values of y
Hence, it will not be a function.
Given that,
Two functions,
f(x) = x + 4
g(x) = x – 3
the difference in values of function f(x) & g(x)
f(x) - g(x) = x + 4 - ( x – 3 )
= x + 4 - x +3
= 7
So, if we subtract 7 from the function f(x)
⇒ f(x) - 7
⇒ x + 4 - 7
⇒ x - 3
So, vertical translation required is value 7 and in downward direction
To know more about Functions check:
https://brainly.com/question/5975436
#SPJ1
find the volume. please help i’m confused
Answer:
840in^3
Step-by-step explanation:
0.5 * b * h * length=voulme
the diagram shows the cross-section of a wall of a cinema.
Answer:
280 m²£133Step-by-step explanation:
The area of the wall is the sum of the areas of the different sections of the wall. The cost to paint it will be the product of the cost of a tin of paint and the number of tins required.
__
Here, the shape of the wall can be divided into two trapezoids and a rectangle. Each shape has a corresponding area formula. Left-to-right, their areas are ...
Left Trapezoid
A = 1/2(b1 +b2)h
A = 1/2(10 m +11 m)(4 m) = 42 m²
Middle Rectangle
A = LW
A = (13 m)(11 m) = 143 m²
Right Trapezoid
A = 1/2(b1 +b2)h
A = 1/2(11 m +8 m)(10 m) = 95 m²
Wall Area
The total area to be painted is the sum of the above areas:
total area = 42 m² +143 m² +95 m² = 280 m²
The area that needs to be painted is 280 m².
__
A tin of paint covers 15 m², so the number of tins needed is ...
(15 m²)t = 280 m²
t = 280/15 = 18 2/3 . . . . . . divide by the coefficient of t
We can only buy whole tins, so we need to buy 19 tins. Their cost will be ...
(£7 /tin)(19 tins) = £133
It will cost £133 to paint the wall.
what is the total number of times that the second hand, minute hand, and hour hand go around in a day
According to the question The three hands collectively complete 86,400 rotations in a 24-hour period.
In a day, the second hand completes a full rotation 60 times in one minute, the minute hand completes a full rotation 60 times in one hour, and the hour hand completes a full rotation 12 times in 12 hours. Considering a 24-hour day, the hour hand will go around twice.
Therefore, the total number of rotations for the second hand, minute hand, and hour hand combined in a day is calculated as follows: 60 rotations/minute * 60 minutes/hour * 24 hours/day = 86,400 rotations. Hence, the three hands collectively complete 86,400 rotations in a 24-hour period.
To know more about rotations visit -
brainly.com/question/32367634
#SPJ11
Mina walks 1/4 mile in 1/2 an hour. What is Mina's rate in miles per hour? Responses
Mina's rate per hour when she walks 1/4 miles in 1/2 hour is 1/2 miles per hour.
What is rate?Rate is the speed at which something happens or changes, or the amount or number of times it happens or changes in a particular period:
To calculate Mina's rate, we use the formula below.
Formula:
S = d/t............ Equation 1Where:
S = Mina's rated = Distancet = TimeFrom the question,
Given:
d = 1/4 milest = 1/2 hoursSubstitute these values into equation 1
S = 1/4/(1/2)S = 2/4S = 1/2 miles per hourHence, Mina's rate per hour is 1/2 miles per hour.
Learn more about rate here: https://brainly.com/question/25184007
#SPJ1