find the measure of angle 1
Answer:
123
Step-by-step explanation:
180-57=123
OK OK ok
Answer:
123°
Step-by-step explanation:
A flat line is 180° so that means 57-180=123 so therefore the angle is 123°
A 38 1/25m tower is built on the summit of a mountain that is 784 1/5m above sea level.Then a lighting rod that is 3 4/5m high is built on tp of the tower. How high above sea level is the very top of the lighting rod?
I need the answer today before 4:00, No Files please Thank you.
The top of the lighting rod is \(823\frac 1{25}\) meters above the sea level.
The height of the tower is given as:
\(h_1 = 38\frac 1{25}m\)
The height of the mountain is given as:
\(h_2 = 784\frac 1{5}m\)
The height of the lighting rod is given as:
\(h_3 = \frac 4{5}m\)
The height of the lighting rod relative to the sea level is the sum of the given heights.
So, we have:
\(h =h_1 + h_2 + h_3\)
This gives
\(h =38\frac 1{25} + 784\frac 15 +\frac 45\)
Express as decimals
\(h =38.04 + 784.2 +0.8\)
\(h =823.04\)
Express as fraction
\(h =823\frac 1{25}\)
Hence, the top of the lighting rod is \(823\frac 1{25}\) meters above the sea level.
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2. Shown is the graph of y = f(x). Draw the graph of g(x) = -f(x).
у
Answer:
Step-by-step explanation: add Y to the X and then add -f to X Y and you will get the answers
Add Y to X 2.Get your answer and dived that by -f and u will get you answerFInd the measure of the exterior angle of a triangle if the remote interior angles are 75 degrees and 42 degrees?
In the triangle, the measure of the exterior angle is 117°.
What is a triangle's definition?
A triangle is a basic two-dimensional geometric shape that consists of three straight sides and three angles. It is a polygon with three sides and three vertices.
The sides of a triangle are usually labeled as a, b, and c, and the angles opposite to these sides are labeled as A, B, and C respectively. The sum of the interior angles of a triangle is always 180 degrees, and each angle in a triangle is less than 180 degrees.
Now,
In a triangle, the sum of the angles = 180°.
Let's denote the three interior angles of the triangle as A, B, and C.
Then we know that:
A + B + C = 180°
We're given two of the interior angles:
B = 75° (remote interior angle)
C = 42° (remote interior angle)
To find the measure of the exterior angle, let's first find the third interior angle:
A + B + C = 180°
A + 75 + 42 = 180°
A + 117 = 180
A = 63°
Now we can use the fact that the exterior angle is equal to the sum of the two remote interior angles:
Exterior angle = B + C
Exterior angle = 75 + 42
Exterior angle = 117°
Therefore, the measure of the exterior angle of the triangle is 117°.
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Reflect shape A in the line y = x.
у
51
4
3
2
1
1
X
4
-5 -4 -3 -2 -1 0 1 2
2 3
-1
-2
A
-3
-4
-5
Looking at the description of the shape, The Reflect shape A in the line y = x, will then be (y, -x).
What does it mean to reflect a shape?The Reflecting of a shape implies that one should turn it over a mirror line.
Note that in doing this, each part of the shape is said to be moved to the other side of the mirror line and as such it still have to be the same with the same distance away from the line. The image attached shows the best form of the reflected shape in line y = x.
Note that if one reflect over the line y = -x, the x-coordinate and y-coordinate tends to alter places and are then negated the line y = x is the change to (y, x).
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Pls help I need it now!!
Answer:
42
Step-by-step explanation:
a rectangle is inscribed in a right isosceles triangle with a hypotenuse of length 6 units. what is the largest area the rectangle can have?
Answer: The largest area of a rectangle is 32 square units. A rectangle has its base on x-axis and its upper two vertices on the parabola y= 12 - x^2.
Step-by-step explanation:
This is the answer
Mike was in charge of collecting contributions for the Food Bank. He received
contributions of:
$40, $80, $60, $40, and $100
Find the mean, median, and mode of the contributions.
What is mean: A mean is the simple mathematical average of a set of two or more numbers. To solve for it add all numbers together then divide by how many numbers are there. (Its best to put them in order)
$40 + $40 $60 + $80 + $100= $320/5= $64 is the mean
what is median: The median is the value separating the higher half of a data sample
40,40,60,80,100 (i like to cross it out so 40 and 100 cancle each other, another 40 and 80 cancel each other) now that you are left with only 1 number which is 60 that is the median.
What is Mode: the number that repeats the most
Mode is 40 because 40 repeats twice
Bryant Industries uses forecasting to estimate the number of orders that will be placed by their customers. The table below gives the sales figures for the last four months. Month 2 3 4 5 Sales 924 91
Bryant Industries uses forecasting to estimate the number of orders that will be placed by their customers. The table below gives the sales figures for the last four months.Month2345Sales92491942004There are different forecasting techniques used by companies like Bryant Industries to predict future sales.
One of the most widely used methods is the time-series method. This method is particularly useful when the demand for a product or service changes over time and when there are no external factors that affect the sales. In this case, we can use a time-series method called the moving average to estimate future sales. The moving average is a time-series method that uses the average of past sales data to estimate future sales. It is particularly useful when there are no external factors that affect the sales. In this case, we can use a 3-month moving average to estimate future sales. The 3-month moving average is calculated as follows: (924 + 919 + 420) / 3 = 754.33. This means that we can expect sales of around 754 units next month. The moving average method is easy to use and is a good way to get a quick estimate of future sales. However, it has some limitations. For example, it does not take into account external factors that may affect sales, such as changes in the economy or in consumer behavior.
In conclusion, Bryant Industries can use the moving average method to estimate future sales. However, they should also consider other factors that may affect sales, such as changes in the economy or in consumer behavior. By doing so, they can make more accurate forecasts and improve their overall performance.
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Stanley's weekly allowance is $5. He can also earn $2 each time he walks the family dog. Write an equation that shows how the amount of money Stanley gets in a week, y, depends on the number of times he walks the dog, x.
Answer:
y = 2x + 5
Step-by-step explanation:
Since he earns $2 for every time he walks the dog, we multiply x by 2
He already starts with $5, so just add 5 to the equation to find y
A bag contains 99 marbles, some white and some red. The ratio of white marbles to red ones is 5:4. how many white marbles are there?
Answer:
55 white
Step-by-step explanation:
So ratio 5:4 is essentially saying, for each 5 white marbles, there are 4 red ones. This can be represented in the equation: 5x+4x=99. We specifically want an integer solution. Because what is 1.2 of a marble? And what is -1 marbles? So as x increases by 1, the entire thing increases by 9. This gives you the equation: 9x=99 which gives you x=11. So there are 55 white and 44 red.
eight hot dogs at the baseball park cost $28. how much does one hot dog cost? (let h = price of hot dog)
i need the equation please!!!
Answer:
3.5
Step-by-step explanation:
Answer:
h=$3.50
28/8
Step-by-step explanation:
Consider a simulation experiment in which the population distribution is quite skewed. The figure below shows the density curve for lifetimes of_a certain type of electronic control [this is actually a lognormal distribution with E(ln(X)) = 3 and V(ln(X)) = 0.16]. The statistic of interest is the sample mean X. The experiment utilized 500 replications and considered these sample sizes: n = 5, n = 10, n = 20, and n = 30. The resulting histograms along with a normal probability plot from MINITAB for the x values based on n = 30 are shown in the figures below. Density curve for the simulation experiment (E(A) = 21.7584, V(X) = 82.1449]
In this simulation experiment, the population distribution represents the lifetimes of a certain type of electronic control and the density curve in the figure represents the population distribution.
The distribution is skewed and follows a lognormal distribution with an expected value of ln(X) equal to 3 and a variance of ln(X) equal to 0.16. The experiment consisted of 500 replications and examined different sample sizes: n = 5, n = 10, n = 20, and n = 30.
The density curve in the figure represents the population distribution, with an expected value of E(A) equal to 21.7584 and a variance of V(X) equal to 82.1449. The histograms shown illustrate the distribution of sample means for the different sample sizes. Additionally, a normal probability plot from MINITAB is included for the x-values based on a sample size of n = 30, allowing for an assessment of the normality assumption for the sample means.
These visual representations provide valuable insights into the characteristics of the simulated experiment's population distribution, as well as the behavior of the sample means for different sample sizes.
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The complete question is:
Consider a simulation experiment in which the population distribution is quite skewed. The figure below shows the density curve for lifetimes of_a certain type of electronic control [this is actually a lognormal distribution with E(ln(X)) = 3 and V(ln(X)) = 0.16]. The statistic of interest is the sample mean X. The experiment utilized 500 replications and considered these sample sizes: n = 5, n = 10, n = 20, and n = 30. The resulting histograms along with a normal probability plot from MINITAB for the x values based on n = 30 are shown in the figures below. Density curve for the simulation experiment (E(A) = 21.7584, V(X) = 82.1449].
n^2 - 5n + 6, n^2 - 4n+ 4 I need help, i know the answer may possibly be (n-3)(n-2)^2 factor it, an di need steps.
The simplified expression is (n - 3) / (n - 2).
What is the simplification of the expression?The expression is simplified as follows;
(n² - 5n + 6) / (n² - 4n + 4)
n² - 5n + 6 can be factored as (n - 2) (n - 3)
n² - 4n + 4 can be factored as (n - 2) (n - 2)
Therefore, the expression becomes:
[(n - 2) (n - 3)] / [(n - 2) (n - 2)]
We can cancel the (n - 2) factor in the numerator and denominator, leaving us with:
(n - 3) / (n - 2)
So the simplified expression is (n - 3) / (n - 2).
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Simplify the expression-4(-3x - 8) - 34
Answer:
12x-2
Step-by-step explanation:
-4(-3x-8)-34
12x+32-34
12x-2
Matilda walks from a castle's tower to its drawbridge by heading 624 m due
east and then heading due south.
The straight-line distance from the tower to the drawbridge is 927 m.
Work out the bearing of the drawbridge from the tower.
Give your answer to the nearest degree.
Answer:
138° (nearest degree)
Step-by-step explanation:
Bearing: The angle (in degrees) measured clockwise from north.
The given scenario can be modelled as a right triangle (see attachment).
Therefore, the bearing is 90° + θ (shown in green on the attached diagram).
To find angle θ, use the cosine trigonometric ratio:
\(\implies \cos{\theta}=\dfrac{A}{H}\)
\(\implies \cos{\theta}=\dfrac{624}{927}\)
\(\implies \theta=\cos^{-1}\left(\dfrac{624}{927}\right)\)
\(\implies \theta=47.69018863...\)
\(\implies \theta=48^{\circ}\; \; \sf (nearest\;degree)\)
Therefore, the bearing of the drawbridge from the tower is:
\(\begin{aligned}\implies \sf Bearing&=90^{\circ}+\theta\\&=90^{\circ}+48^{\circ}\\&=138^{\circ} \end{aligned}\)
Answer:
The bearing of the drawbridge from the tower is 138° SE-----------------------------
The segments that are formed by Matilda walking from the tower to drawbridge form a right triangleHorizontal leg = 624 m,Hypotenuse = 927 m.Find the angle x between the two segmentscosine = adjacent / hypotenusecos x = 624/927x = arccos (624/927)x = 48° (rounded to the whole degree)Find the bearing of the drawbridge from the towerAdd 90° to the angle measure we just found, since bearing is counted from the north direction:
48° + 90° = 138° SEif $x$ and $y$ are positive integers such that $5x+3y=100$, what is the greatest possible value of $xy$?
The greatest possible value of $xy$ is $17\times5=\boxed{85}$. To get the greatest possible value of $xy$, we need to maximize the values of $x$ and $y$. We can start by rearranging the equation $5x+3y=100$ to solve for one of the variables in terms of the other:
$5x+3y=100 \implies 5x=100-3y \implies x=\frac{100-3y}{5}$
Since $x$ must be a positive integer, $100-3y$ must be divisible by 5. The largest multiple of 3 less than 100 is 99, so we can try values of $y$ starting from 1 and working up to 33 (because if $y\geq34$, then $5x\leq0$, which is not positive).
When $y=1$, we get $x=\frac{100-3}{5} = 19.4$, which is not an integer.
When $y=2$, we get $x=\frac{100-6}{5} = 18.8$, which is also not an integer.
When $y=3$, we get $x=\frac{100-9}{5} = 18.2$, still not an integer.
When $y=4$, we get $x=\frac{100-12}{5} = 17.6$, still not an integer.
When $y=5$, we get $x=\frac{100-15}{5} = 17$, which is an integer.
From here, we can continue to increase $y$ and see that the values of $x$ will only decrease. Thus, the greatest possible value of $x$ is 17 and the corresponding value of $y$ is 5.
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The relationship between the actual air temperature (in degrees Fahrenheit) and the temperature y adjusted for wind chill (in degrees Fahrenheit, given a 30 mph wind) is given by the following
formula:
V = -26 + 1.3x
2.1 Estimate the actual temperature if the temperature
adjusted for wind chill is -35 degrees Fahrenheit.
The estimated actual temperature, when the temperature adjusted for wind chill is -35 degrees Fahrenheit, is approximately -6.923 degrees Fahrenheit.
To estimate the actual temperature if the temperature adjusted for wind chill is -35 degrees Fahrenheit, we can use the given formula:
V = -26 + 1.3x, where V represents the temperature adjusted for wind chill and x represents the actual temperature.
We are given that the temperature adjusted for wind chill is -35 degrees Fahrenheit.
Let's substitute this value into the formula and solve for x:
-35 = -26 + 1.3x
To isolate x, we can subtract -26 from both sides of the equation:
-35 + 26 = 1.3x
Simplifying the left side of the equation:
-9 = 1.3x
Now, divide both sides of the equation by 1.3:
-9/1.3 = x
Calculating the value:
x ≈ -6.923
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A copy machine produces 40 copies in 5 minutes. How many copies can the machine make in 3 minutes? Solve and explain your solution.
Answer:
24
Step-by-step explanation:
40 divided by 5 = 8
8 x 3 = 24
Plz mark me brainsliesttttt
Look at this cylinder:
If the radius and height are doubled, then which of the following statements about its surface area will be true?
We know
\(\boxed{\sf \star TSA_{(Cylinder)}=2\pi r(h+r)}\)
\(\\ \sf\longmapsto TSA_{(Old\:Cylinder)}=2\times \dfrac{22}{7}\times 4(8+4)\)
\(\\ \sf\longmapsto TSA_{(Old\:Cylinder)}=\dfrac{176}{7}(12)\)
\(\\ \sf\longmapsto TSA_{(Old\:Cylinder)}=\dfrac{2112}{7}\)
\(\\ \sf\longmapsto TSA_{(Old\:Cylinder)}=301.7cm^2\)
Now
New Radius=2(4)=8cmNew Height=2(8)=16cm\(\\ \sf\longmapsto TSA_{(New\:Cylinder)}=2\times \dfrac{22}{7}\times 8(16+8)\)
\(\\ \sf\longmapsto TSA_{(New\:Cylinder)}=\dfrac{352}{7}(24)\)
\(\\ \sf\longmapsto TSA_{(New\:Cylinder)}=\dfrac{8448}{7}\)
\(\\ \sf\longmapsto TSA_{(New\:Cylinder)}=1204.7cm^2\)
So
\(\\ \sf\longmapsto \dfrac{TSA_{(New\:Cylinder)}}{TSA_{(Old\:Cylinder)}}=\dfrac{1204.7}{301.7}\)
\(\\ \sf\longmapsto \dfrac{TSA_{(New\:Cylinder)}}{TSA_{(Old\:Cylinder)}}=\dfrac{4}{1}\)
\(\\ \sf\longmapsto\underline{\boxed{\bf{ {TSA_{(New\:Cylinder)}}:{TSA_{(Old\:Cylinder)}}=4:1}}}\)
Hence our correct option is Option C
the choir booster club had a budget of $1,300.00 at the start of the school year. they spend $225.30 on t-shirts, $482.25 on lost uniforms, and $135.68 on a holiday party. how much does the booster club have left in their budget
The choir booster club started the school year with a budget of $1,300.00. After spending $225.30 on t-shirts, $482.25 on lost uniforms, and $135.68 on a holiday party, they have $456.77 left in their budget.
Explanation: To calculate the amount left in the booster club's budget, we need to subtract the total expenses from the initial budget.
The total expenses are $225.30 + $482.25 + $135.68 = $843.23. Subtracting this amount from the initial budget of $1,300.00 gives us $1,300.00 - $843.23 = $456.77.
Therefore, the choir booster club has $456.77 left in their budget after spending on t-shirts, lost uniforms, and a holiday party.
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in which quadrant on the cartesian plane does (0,-3) lie?
Answer:
I believe quadrant 1
Step-by-step explanation:
There r quadrants on a graph, once (0,-3) is graphed it lands in the first quadrant sense it’s on that side
ask me questions if you need clarification
Given coordinate is (3,0)(3,0). This point lies on the x-axis because its y-axis is on origin. Therefore, it lies on the x-axis between the Quadrant I and Quadrant IV.
pls help me its urgent ty
Each of the quadratic function should be factorized as follows;
x² - 6x + 8 ⇒ (x - 4)(x - 2).
x² - 4x - 32 ⇒ (x - 8)(x + 4).
x² + x - 42 ⇒ (x - 6)(x + 7).
What is a quadratic function?In Mathematics, the standard form of a quadratic function is given by this mathematical expression;
ax² + bx + c = 0
Where:
a and b represents the coefficients of the first and second term in the quadratic function.c represents the constant.Next, we would solve each of the quadratic function by using the factorization method as follows;
x² - 6x + 8 = 0
x² - 4x - 2x + 8 = 0
x(x - 4) - 2(x - 4) = 0
(x - 4)(x - 2) = 0
x² - 4x - 32 = 0
x² - 8x + 4x - 32 = 0
x(x - 8) + 4(x - 8) = 0
(x - 8)(x + 4) = 0
x² + x - 42 = 0
x² - 6x + 7x - 42 = 0
x(x - 6) + 7(x - 6) = 0
(x - 6)(x + 7) = 0
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How many triangles can be constructed with egles measuring 50°, 90°, and 40°?
one
O more than one
O none
Answer:
More than one
Step-by-step explanation:
I took the test
Given g(x)= 7/x+1 simplify the difference quotient.
G(-3+h)-g(-3) / h =
By substituting the given values into the function and simplifying, we obtained the simplified expression (7h) / [2(-2+h)].
To simplify the given difference quotient, let's start by evaluating g(-3+h) and g(-3).
Given: g(x) = 7/(x+1)
Evaluating g(-3+h):
Replace x with (-3+h) in the function g(x):
g(-3+h) = 7/((-3+h)+1)
= 7/(-2+h)
Evaluating g(-3):
Replace x with -3 in the function g(x):
g(-3) = 7/(-3+1)
= 7/(-2)
= -7/2
Now, substitute these values into the difference quotient and simplify:
[g(-3+h) - g(-3)] / h
= [7/(-2+h) - (-7/2)] / h
= [7/(-2+h) + 7/2] / h
To simplify the expression further, we can find a common denominator for the two fractions in the numerator:
= [7(2) + 7(-2+h)] / [2(-2+h)]
= [14 - 14 + 7h] / [2(-2+h)]
= (7h) / [2(-2+h)]
Therefore, the simplified difference quotient is (7h) / [2(-2+h)].
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i need help asap pls!!
Answer:
x = 11°
Step-by-step explanation:
x = 11° because it is an alternate interior angle to 11°
Write the standard equation of an ellipse with vertices at (2,-2) and (12,-2) and covertices at (7,1) and (7,-5).
(a) (x-7)^2 / 25 + (y+2)^2 / 9 = 1
(b) (x+7)^2 / 25 + (y-2)^2 / 9 = 1
(c) (x-7)^2 / 9 + (y+2)^2 / 25 = 1
(d) (x+7)^2 / 100 + (y-2)^2 / 36 = 1
(e) (x-7)^2 / 100 + (y+2)^2 / 36 = 1
The correct answer is (a) (x-7)^2 / 25 + (y+2)^2 / 9 = 1.
The standard equation of an ellipse is (x-h)^2 / a^2 + (y-k)^2 / b^2 = 1, where (h,k) is the center of the ellipse, a is the distance from the center to the vertices, and b is the distance from the center to the covertices.
In this case, the center of the ellipse is the midpoint of the vertices and covertices, which is (7, -2). The distance from the center to the vertices is 5 (12-7) and the distance from the center to the covertices is 3 (1-(-2)).
Therefore, the standard equation of the ellipse is (x-7)^2 / 25 + (y+2)^2 / 9 = 1, which corresponds to answer choice (a).
So the correct answer is (a) (x-7)^2 / 25 + (y+2)^2 / 9 = 1.
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what is theperature of this object
Answer:
59-60 F and 15 C
Step-by-step explanation:
Hope this helps!
A brainlist would be appreciated! I'm almost an expert!
what is the number of the parking space 16, 06, 68
The number formed by the digits 16, 06, and 68 is 160668, which is determined by concatenating them in the given order.
To determine the number formed by the given digits, we concatenate them in the given order. Starting with the first digit, we have 16. The next digit is 06, and finally, we have 68. By combining these three digits in order, we get the number 160668.
When concatenating the digits, the position of each digit is crucial. The placement of the digits determines the resulting number. In this case, the digits are arranged as 16, 06, and 68, and when they are concatenated, we obtain the number 160668. It's important to note that the leading zero in the digit 06 does not affect the value of the resulting number. When combining the digits, the leading zero is preserved as part of the number.
Therefore, the number formed by the digits 16, 06, and 68 is 160668.
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if N is 1/8 as much as 16, what does N equal?
Background:
"As much as" means that two quantities are being compared and is a keyword for division.
Procedure:
\(N=\frac{16}{8}=2\)Answer: 2