Answer:
a.) perimeter: 48 yards area: 96 sq. yds
b.) perimeter: 39 feet area: 74.36 ft. sq.
Step-by-step explanation:
a.) perimeter: 16 + 20 + 12 = 48 area: height * base / 2 = 96
b.) perimeter: (14.3 * 2) + (5.2 * 2) = 39 area: Length * Width = 74.36
Answer:
TriangleArea = 96 yd
Perimeter = 48 yd,
RectangleArea = 74.36 yd
Perimeter = 39 yd
Step-by-step explanation:
Suppose a projectile is fired from a cannon with velocity v0 and angle of elevation θ. The horizontal distance Rθ it travels (in feet) is given by the following. R(θ)=(v0)²sin2θ/32 If v0=80ft/s, what angle θ (in radians) should be used to hit a target on the ground 129 feet in front of the cannon? Do not round any intermediate computations, and round your answer(s) to the nearest hundredth of a radian. (If there is more than one answer, enter additional answers with the "or" button.)
The angle at which the projectile should be launched to hit the target which is 129 feet away is 7/100π.
The projectile fires with a velocity V₀ and angle of elevation θ, then the horizontal distance is given by the R(θ),
R(θ) = V₀²sin2θ/32
The given function in dependent on theta θ,
The angle at which the projectile must be fired so that it reaches the horizontal distance of 129 feet in front of the cannon,
R(θ) = V₀²sin2θ/32
putting R(θ) equal to 129, V₀ = 80ft/s,
129 = (80)²sin2θ/32
sin2θ = (129 x 32)/(80 x 80)
sin2θ = 0.645
Hence,
θ = 7/100π
so, the projectile should be launched at angle of 7/100π.
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Amina asked 60 children to choose their favourite flavour of jelly. These were her results.
Flavour Number of children
Raspberry 12
Lemon 8 Orange 15 B
blackcurrant 25
Total 60
What percentage of the 60 children choose orange?
We will see that the percentage of the 60 children who choose orange is 25%.
What percentage of the 60 children choose orange?
In this case, the 60 children are the 100%.
We want to find which percentage 15 (number of kids that like orange) represents.
Then we can write:
15 = x
60 = 100%
x = (15/60)*100% = 25%
So we conclude that 25% of the children choose orange.
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The product of -8 and -4 is -32 it is false hope you like it and please give me a five star rating thank you very much hope this helps
Answer:
The answer is false.
Step-by-step explanation:
If you do not already know this, a negative and a negative equals a positive. Therefore, instead of –8 • –4 = –32, the correct answer would be –8 • –4 = 32.
Hope that helps! Have an amazing rest of your day! Brainliest welcome! :)
Answer: is false.
hope this helps
have a good day
Step-by-step explanation:
CAN SOMEBODY PLEASE EXPLAIN IN A SIMPLE WAY HOW TO DO THIS IM SO LOST!! WILL GIVE BRAINLIEST
Answer: by doing the input and the output usually that means add a number or any other mathematical equations.
Step-by-step explanation:
I need help with first question ??
Answer:
Slope = 3
Step-by-step explanation:
Slope formula
(y2 - y1) / ( x2 - x1)
Where the x and y values are derived from the coordinates
Choose any two given ordered pairs and plug them into the formula
The points chosen may vary but the points I chose were (1,3) and (2,6)
( Note that ordered pairs are written as (x,y))
Next we want to define the variables
x1 = 1
x2 = 2
y1 = 3
y2 = 6
Finally we plug in the values into the slope formula
(6-3) / (2-1)
Subtract top values
3/(2-1)
Subtract bottom values
3/1
Simplify
slope = 3
Mr. Lawson also makes cupcakes in his bakery . He made 9 dozen cupcakes for the school to sell at its Spring Fling
- The school sold 36 cupcakes by noon
- They sold 24 more cupcakes by 3:30
- The remaining cupcakes were sold equally during each of the 2 hours between 4 and 6 o’ clock.
Write an equation that can be used to find c , the number of cupcakes that were sold in each of the hours between 4 and 6 o’ clock
The number of cupcakes that were sold in each of the hours between 4 and 6 o’ clock is 24 cupcakes.
How to write an equation that can be used to find c?Since the total number of cupcakes that were sold is equal to 9 dozen cupcakes.
Total number of cupcakes = 9 * 12 = 108 cupcakes.
Since c is the number of cupcakes that were sold in each of the hours between 4 and 6 o’ clock.
We can write an equation that represents the total number of cupcakes sold as follows:
36 + 24 + c + c = 108
Solve for c:
36 + 24 + c + c = 108
36 + 24 + 2c = 108
60 + 2c = 108
2c = 108 - 60
2c = 48
c = 48/2
c = 24
Therefore, the number of cupcakes that were sold in each of the hours between 4 and 6 o’ clock is 24 cupcakes.
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Need help ASAP! due soon!!!!
Answer:
Its A And D Hope This Helps
What is the product of the polynomials below?
(5x2 - x-3)(2x+6)
\(\bf \rightarrow \:(5 {x}^{2} - x - 3) \: \: (2x + 6) \\ \\ \bf \small \rightarrow \:10 {x}^{3} - 2 {x}^{2} - 6x + 30 {x}^{2} - 6x - 18 \\ \\ \bf \rightarrow \:10 {x}^{3} + 28 {x}^{2} - 12x - 18\)
༆ Option D is the correct answer༆
5/8 - 1/8 in simpelest form
Answer:
\(\frac{1}{2}\)
Step-by-step explanation:
\(\frac{5}{8}-\frac{1}{8}\\ \\ \frac{5-1}{8}\\ \\\frac{4}{8}\\ \\\frac{1*4}{2*4}\\ \\\frac{1}{2}\)
Twenty-four girls in Grades 9 and 10 are put on a training program. Their time for a 40 -yard dash is recorded before and after participating in a training program. The differences between the before-training time and the after-training time for those 24 girls are measured, so that positive difference values represent improvement in the 40 -yard dash time. Suppose that the values of those differences and they have a sample mean 0.079min and a sample standard deviation 0.255min. We conduct a statistical test to check whether this training program can reduce the mean finish time of 40 -yard dash. What is the range of p-value for this test? (0.15,0.2) (0.1,0.15) (0.05,0.1) (0.025,0.05) (0,0.025)
The range of the p-value for the statistical test to check whether the training program can reduce the mean finish time of the 40-yard dash is (0.025, 0.05). This means that the p-value falls between 0.025 and 0.05, indicating moderate evidence against the null hypothesis.
To determine the range of the p-value, we need to conduct a statistical test. The null hypothesis is that the training program does not reduce the mean finish time of the 40-yard dash. The alternative hypothesis is that the training program does reduce the mean finish time.
We can perform a t-test for the mean difference in the before-training and after-training times. Given that the sample mean of the differences is 0.079 min and the sample standard deviation is 0.255 min, we can calculate the t-statistic using the formula t = (x - μ) / (s / √n), where x is the sample mean, μ is the hypothesized population mean (which is 0 in this case), s is the sample standard deviation, and n is the sample size.
Using the given values, we find that the t-statistic is approximately 1.556.
Next, we can compare the t-statistic to the critical value from the t-distribution for a given significance level (α). Since the problem does not specify the significance level, we will assume α = 0.05.
By looking up the critical value in the t-distribution table with 23 degrees of freedom and α = 0.05, we find that the critical value is approximately 2.069.
Comparing the t-statistic (1.556) to the critical value (2.069), we see that it falls within the range (0.025, 0.05). This means that the p-value, which is the probability of observing a t-statistic as extreme as or more extreme than the observed value, falls between 0.025 and 0.05. Thus, there is moderate evidence against the null hypothesis, suggesting that the training program may reduce the mean finish time of the 40-yard dash.
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a varies jointly with b and c. a=10 b=5 and c=15. find c when a=15 and b=10
Let's begin by identifying key information given to us:
\(\begin{gathered} a\alpha bc\Rightarrow a=kbc \\ a=kbc \\ a=10,b=5,c=15 \\ \text{Substitute these into the equation, we have:} \\ 10=k\cdot5\cdot15 \\ 10=75k\Rightarrow75k=10 \\ 75k=10 \\ k=\frac{10}{75}=\frac{2}{15} \\ k=\frac{2}{15} \\ \\ When;a=15,b=10 \\ a=kbc \\ 15=\frac{2}{15}\cdot10\cdot c \\ 15=\frac{2\cdot10}{15}c \\ 15=\frac{20}{15}c \\ 15\cdot15=20c\Rightarrow225=20c \\ 20c=225 \\ c=\frac{225}{20}=11.25 \\ c=11.25 \end{gathered}\)Which of the following is NOT a solution to the system of inequalities?
(1, 5)
(2, 1)
(0, 4)
(1, 2)
Answer:
(2,1)
Step-by-step explanation:
The solutions are the points located inside the shaded region. The only point not located in that region is the point (2, 1). Therefore, (2, 1) is not a solution to the system of inequalities.
You have $25 to buy 6 candy bars. Write an inequality that represents the prices you can pay per candy bar.
Answer:
25 divided by 6
Step-by-step explanation:
please help me im struggling in math
Corresponding angles theorem states that parallel lines are cut by a transversal, then the pairs of corresponding angles are congruent.
To prove m∠ = m∠2.
Then,
m∠3 + m∠2 = 180m∠1 + m∠3 = 180m∠1 = m∠2How to prove corresponding angles?The corresponding angles theorem states that If two parallel lines are cut by a transversal, then the pairs of corresponding angles are congruent.
Corresponding angles are formed when a transversal passes through two lines.
As we know that line segment m is parallel to the line segment n.
m || n .
Hence,
m∠3 + m∠2 = 180 (same interior angles)
Same side interior angles are two angles that are on the same side of the transversal and on the interior of (between) the two lines.
Same side interior angles are supplementary.
m∠1 + m∠3 = 180(sum of angles on a straight line)
Angles on a straight line is supplementary.
So, by transitive property of equality, we get:
m∠ = m∠2
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Select all the expression equivalent to 9x + (5y + x) - 3y]
The equivalent expression of the expression given as 9x + (5y + x) - 3y is 10x + 2y.
Calculating the equivalent expressionsGiven that
9x + (5y + x) - 3y
The expression equivalent to 9x + (5y + x) - 3y are expressions that have teh same value as 9x + (5y + x) - 3y
We can simplify the expression 9x + (5y + x) - 3y as follows:
9x + (5y + x) - 3y
= 9x + 5y + x - 3y // remove parentheses
= 10x + 2y // combine like terms
So the expression is equivalent to 10x + 2y.
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how can you evaluate 36^1/2
Answer:
6
Step-by-step explanation:
======================================================
Explanation:
Exponents of 1/2 are the same as square roots
\(36^{1/2} = \sqrt{36} = 6\)
If the exponent was say 1/3, then we'd be taking a cube root
\(36^{1/3} = \sqrt[3]{36}\)
and this is what a fourth root would look like
\(36^{1/4} = \sqrt[4]{36}\)
and so on
Each of the following letters has a line of symmetry: A E M T V In which letter is the direction of the line of symmetry different from that of the others?
E letter is the direction of the line of symmetry different from that of the others.
A line of symmetry is what?A form or item is divided into two equally and symmetrical portions by a line of symmetry. So it separates the figure symmetrically and the separated portions resemble mirror images of one another, we also refer to this line as the axis of symmetry or the mirror line.
What are the three symmetry lines?A triangular equilateral shape has three symmetry lines. An equilateral triangle has the most lines of symmetry, as opposed to other types of triangles like scalene, isosceles, or right-angled triangles.
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the n 1/2 of the se 1/4 of the sw 1/4 and the ne 1/4 of the sw 1/4 of section 19 contains how many acres?
The n 1/2 of the se 1/4 of the sw 1/4 and the ne 1/4 of the sw 1/4 of Section 19 contains 40 acres.
The method used for land surveying is called the government rectangular survey system.
This system is commonly known as the Public Land Survey System (PLSS) of the United States. It is based on a grid network. The grid is formed with meridians and baselines.
The meridians are the imaginary lines running north to south, and the baselines are the imaginary lines running east to west. The meridians and baselines are named as ranges and townships, respectively.
Each range is 6 miles wide and numbered consecutively, beginning with the one on the far west side of the state. The townships are numbered from 1 to 36, in sequence, beginning at the southeast corner of the state. The government rectangular survey system divides the land into smaller units as follows:
Each township is further divided into 36 sections, each section is one square mile, or 640 acres.
Each section is further divided into halves, or 320 acres, and each half is divided into quarters, or 160 acres, and each quarter is divided into quarters again, or 40 acres.
Finally, each 40-acre parcel is divided into quarters, or 10 acres.
Therefore, the n 1/2 of the se 1/4 of the sw 1/4 and the ne 1/4 of the sw 1/4 of section 19 contains 40 acres.
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consider the following line integral. xy dx x2 dy, c is counterclockwise around the rectangle with vertices (0, 0), (5, 0), (5, 1), (0, 1)
The line integral of xy dx + x^2 dy around the given rectangle is 0.
To evaluate the line integral ∮C (xy dx + x^2 dy) along the given rectangle C with vertices (0, 0), (5, 0), (5, 1), and (0, 1), we can break it down into four line integrals along each side of the rectangle and sum them up.
Along the bottom side:
Parametrize the line segment from (0, 0) to (5, 0) as r(t) = (t, 0), where t ranges from 0 to 5. The differential element along this line segment is dr = (dt, 0). Substituting these values into the line integral, we get:
∫[0,5] (t*0) dt = 0.
Along the right side:
Parametrize the line segment from (5, 0) to (5, 1) as r(t) = (5, t), where t ranges from 0 to 1. The differential element along this line segment is dr = (0, dt). Substituting these values into the line integral, we get:
∫[0,1] (5t0 + 25dt) = ∫[0,1] 25*dt = 25.
Along the top side:
Parametrize the line segment from (5, 1) to (0, 1) as r(t) = (5-t, 1), where t ranges from 0 to 5. The differential element along this line segment is dr = (-dt, 0). Substituting these values into the line integral, we get:
∫[0,5] ((5-t)*0 + (5-t)^2 * 0) dt = 0.
Along the left side:
Parametrize the line segment from (0, 1) to (0, 0) as r(t) = (0, 1-t), where t ranges from 0 to 1. The differential element along this line segment is dr = (0, -dt). Substituting these values into the line integral, we get:
∫[0,1] (0*(1-t) + 0) dt = 0.
Summing up all the line integrals, we have:
0 + 25 + 0 + 0 = 25.
Therefore, the line integral of xy dx + x^2 dy around the given rectangle is 25.
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Please help me with this question!!!!!
h = 11.9 cm
cos = adjacent/ hypotenuse
therefore:
cos(24) = h/ 13
rearrange:
h = 13cos(24)
put into calculator:
h = 11.8760...
rounded to one decimal point:
h = 11.9cm
what is the slope of the line y=2x+5?
Answer:
2
Step-by-step explanation:
22+0.02 is irrational or rational
Answer:
rational
Step-by-step explanation:
Find the 96th term of the arithmetic sequence 1, -12, -25, ...1,−12,−25
96th term of the arithmetic sequence 1, -12, -25, ...1,−12,−25 is -1234
arithmetic sequence 1, -12, -25, .. .1,−12,−25
an arithmetic sequence can be written as
a , a + d , a + 2d , a + 3d , . . . . . a + (n-1)d
nth tern of an arithmetic sequence is
aₙ= a+ (n-1)d
a= first term of an arithmetic sequence
d = common difference of an arithmetic sequence
n = number of terms in an arithmetic sequence
So in the above arithmetic sequence
a= 1
d= -13
n= 96
a₉₆= 1+ (96-1)(-13)
= 1- (95)13
= 1- 1235
= -1234
96th term of the arithmetic sequence 1, -12, -25, ...1,−12,−25 is -1234
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×+7-8×/3=-5×/2 please help me with this please please
please
Answer:
\(x=-14\)
Step-by-step explanation:
\(\frac{x+7-8x}{3}=-\frac{5x}{2}\\\mathrm{Apply\:fraction\:cross\:multiply:\:if\:}\frac{a}{b}=\frac{c}{d}\mathrm{\:then\:}a\cdot \:d=b\cdot \:c\\\left(x+7-8x\right)\cdot \:2=-3\cdot \:5x\\Simplify\\2\left(-7x+7\right)=-15x\\\mathrm{Expand\:}2\left(-7x+7\right):\quad -14x+14\\2\left(-7x+7\right)\\\mathrm{Apply\:the\:distributive\:law}:\quad \:a\left(b+c\right)=ab+ac\\a=2,\:b=-7x,\:c=7\\=2\left(-7x\right)+2\cdot \:7\\\mathrm{Apply\:minus-plus\:rules}\\+\left(-a\right)=-a\\=-2\cdot \:7x+2\cdot \:7\)
\(\mathrm{Multiply\:the\:numbers:}\:2\cdot \:7=14\\=-14x+14\\-14x+14=-15x\\\mathrm{Subtract\:}14\mathrm{\:from\:both\:sides}\\-14x+14-14=-15x-14\\\mathrm{Simplify}\\-14x=-15x-14\\\mathrm{Add\:}15x\mathrm{\:to\:both\:sides}\\-14x+15x=-15x-14+15x\\\mathrm{Simplify}\\x=-14\)
Need help on No. 4 WILL MARK AS BRAINLIEST
The equation to represent proportionality relationship is y = 8.5x.
What is constant of proportionality?The ratio between two proportional quantities' constant values is known as the constant of proportionality. When either their ratio or their product gives a constant, two changing values are said to be in a proportionate relationship. The Direct Variation and Inverse Variation types of proportions between the two provided quantities determine the proportionality constant's value.
Direct Variation: The direct proportionality equation is y = kx, which demonstrates that as x rises, y rises at the same rate.
Inverse Variation: The indirect proportionality equation, y = k/x, demonstrates that when y rises, x falls, and vice versa.
Two variables are said to be proportion if an increase/decrease in one variable causes an increase/decrease in the other variable.
Let x represent the movie tickets and y represent the cost.
Since x and y are proportional, hence:
y ∝ x
y = rx
Where r is the constant of proportionality.
From the table to find x, when y = 17, x = 2, hence:
17 = 2r
r = 8,5
y = 8.5x
Hence, the equation to represent proportionality relationship is y = 8.5x.
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Which statement is true about figures ABCD and A'B'C'D'?
у
5
4
c
3/
D'
B
2
1 2 3 4 5
1
A
-5 -4 -3 -2 -1 0
AS - 1
-2
D
B
с
-41
-31
When figures are translated, rotated or reflected, the resulting figures are congruent to the original figure because the transformations are rigid. However, when a figure is dilated, the resulting figure is not congruent to the original figure.
ABCD and A'B'C'D are congruent because A'B'C'D is the result of rotating ABCD 180 degrees about the origin.
I've included the missing graph as an attachment.
Using points A and A' as our references.
We have:
\(A = (-1,1)\)
\(A' = (1,-1)\)
The rule of rotation 180 degrees about the origin is:
\((x,y) \to (-x,-y)\)
So, we have:
\((-1,1) \to (-(-1),-1)\)
\((-1,1) \to (1,-1)\)
The above rule is applicable to other points in ABCD and A'B'C'D'
Since the rule of transformation is rotation (a rigid transformation), then ABCD and A'B'C'D are congruent.
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in calcarea(), width and height are _____ public static void calcarea(int width, int height){}; Question options:
arguments
statements
parameters
method names
in calcarea(), width and height are parameters public static void calcarea(int width, int height){}; The correct answer is C.
In programming, parameters are variables that are defined in the method signature and are used to receive values from the arguments passed to the method when it is called. Parameters act as placeholders within the method and allow for the method to work with different values each time it is called.
In the case of the method "calcarea(int width, int height)", "width" and "height" are the parameters. They are placeholders for the actual values that will be provided when the method is called. The method expects two integer values to be passed as arguments, which will then be assigned to the respective parameters within the method body.
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What is the perimeter in centimeters of triangle JKL
The perimeter of JKF is 28 cm.
What is perimeter?
The perimeter of a triangle is the distance around it, which is the sum of the lengths of its sides. The formula for the perimeter of a triangle is: Perimeter = a + b + c where a, b, and c are the lengths of the three sides of the triangle.
Given, triangle JKL and DEF is similar.
If two similar triangles have a scale factor of a : b, then the ratio of their perimeters is a : b.
Given,
perimeter of triangle DEF =28 cm
10 + 6+ third side = 28
third side = 12
Hence,
using the property of similar triangle,
perimeter of DEF/perimeter of JKL = DF/JL
28/ x = 12/4.5
28/x = 2.6
x/28 = 1/2.6
x = 28/2.6
x = 10.7 cm
The perimeter of triangle JKL = 10.7 cm
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A jar contains 0. 65 liter of lime juice and 0. 40 Liter of orange juice. Meg Poured 0. 35 liter of cranberry juice into the jar. She then drank 0. 10 liter of the mixture. Part A: write an expression to represent the total amount of juice left in the jar. Part B: simplify the expression and identify which property is used to each step
Part A : write an expression to represent the total amount of juice left in the jar.
( 0.65 + 0.40 + 0.35 ) - 0.10
Part B: simplify the expression and identify which property is used to each step is 1.3
given that
a jar contain 0.65liter of lime juice and 0.40 liter of orange juice
Meg Poured 0. 35 liter of cranberry juice into the jar.
She then drank 0. 10 liter of the mixture
Total amount of juice
= 0.65 + 0.40 + 0.35
She then drank 0.10 liter of the mixture.
The total amount of juice left in the jar
= ( 0.65 + 0.40 + 0.35 ) - 0.10
Part A : write an expression to represent the total amount of juice left in the jar.
( 0.65 + 0.40 + 0.35 ) - 0.10
from the above expression
=( 0.65 + 0.40 + 0.35 ) - 0.10
=(1.40) - 0.10
=1.3
Part B: simplify the expression and identify which property is used to each step is 1.3
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Carla has a rectangular garden in her backyard. The width of the garden is 9 meters. The area of the garden is 360 square meters. What is the length of the garden? Show your work.
Answer:
l = 40 m
Step-by-step explanation:
The formula for area of a rectangle is
A = lw, where
A is the area in square units,l is the length,and w is the widthStep 1: Since we're given the area and width, we plug in these two values for A and w and to solve for l (length):
360 = 9l
Step 2: Divide both sides by 9 to solve for l
(360 = 9l) / 9
40 m = l
Optional Step 3: We can check our answers by checking that the product of 40 and 9 is 360
40 * 9 = 360
360 = 360