The dimensions of the reduced rectangle are 5(length) and 4(width).
The original length of the rectangle= 20
The original width of the rectangle=16
What is a scale factor?It is the factor by which the size or dimension of an object is dilated.
Reduced length/Original length = 0.25
Reduced length = 0.25 * original length
Reduced length = 0.25 * 20
Reduced length = 5
Reduced width/Original width = 0.25
Reduced width = 0.25 * original width
Reduced width = 0.25 * 16
Reduced width = 4
Therefore, the dimensions of the reduced rectangle are 5(length) and 4(width).
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2. You are building a fence around your vegetable garden in your backyard. If
the garden is 12'8" long and 4'6" wide, what is the total length of fencing you
will need?
The length of fencing required is 34.34 feet.
Data;
Length = 12 feet 8 inch long = (12 + 0.67) feet = 12.67 feetWidth = 4 feet 6 inch wide = (4+0.5)feet = 4.5 feetPerimeter of the GardenTo find the total length of fencing required, we have to find the perimeter of a rectangle since the garden has a rectangular shape.
[tex]P = 2(L + W)[/tex]
We can substitute the values in the formula of perimeter above and proceed to solve.
[tex]P = 2(L+W) \\P = 2(12.67 + 4.5) \\P = 2(17.17)\\P = 34.34ft[/tex]
The length of fencing required is 34.34 feet.
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can yall help me please
I suppose, your answers are already given at the bottom of this page..
HELP ME PLS!!!!!!!!!!!!!!!!!!!!
Answer:
A
Step-by-step explanation:
Look at where the two lines intersect.
Recall that in a 30 – 60 – 90 triangle, if the shortest leg measures x units, then the longer leg measures xStartRoot 3 EndRoot units and the hypotenuse measures 2x units. (150StartRoot 3 EndRoot – 75π) ft2 (300 – 75π) ft2 (150StartRoot 3 EndRoot – 25π) ft2 (300 – 25π) ft2.
The area of the shaded region is [tex]\rm (150\sqrt{3} \ - 75\pi ) \ feet^2[/tex] option first is correct.
It is given that a circle is inscribed in a regular hexagon with sides of 10 feet.
It is required to find the shaded area (missing data is attached shown in the picture).
What is a circle?It is defined as the combination of points that and every point has an equal distance from a fixed point ( called the center of a circle).
We have a hexagon with a side length of 10 feet.
We know the area of the hexagon is given by:
[tex]\rm A = \frac{3\sqrt{3} }{2} a^2[/tex] where a is the side length.
[tex]\rm A = \frac{3\sqrt{3} }{2} 10^2[/tex] ⇒ [tex]150\sqrt{3}[/tex] [tex]\rm feet^2[/tex]
We have the shortest length = x feet and from the figure:
2x = 10
x = 5 feet
The radius of the circle r = longer leg
[tex]\rm r = x\sqrt{3} \Rightarrow 5\sqrt{3}[/tex] feet
The area of the circle a = [tex]\pi r^2[/tex] ⇒ [tex]\pi (5\sqrt{3} )^2 \Rightarrow 75\pi \ \rm feet^2[/tex]
The area of the shaded region = A - a
[tex]\rm =(150\sqrt{3} \ - 75\pi ) \ feet^2[/tex]
Thus, the area of the shaded region is [tex]\rm (150\sqrt{3} \ - 75\pi ) \ feet^2[/tex]
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Answer:
option A
Step-by-step explanation:
HELP ASAP PLEASE
The graph of a linear function passes through the points (7,0) and (-8, 45). A second linear function is
shown on this graph.
What is the distance, in units, between the y-intercepts of the two functionS?
distance : 15 units
coordinates : (7,0) and (-8, 45)
slope:
[tex]\sf \rightarrow \dfrac{y_2-y_1}{x_2-x_1}[/tex]
[tex]\sf \rightarrow \dfrac{45-0}{-8-7}[/tex]
[tex]\sf \rightarrow -3[/tex]
equation:
[tex]\hookrightarrow \sf y - 0 = -3(x-7)[/tex]
[tex]\hookrightarrow \sf y = -3x+21[/tex]
the y-intercept of this function:
[tex]\hookrightarrow \sf y = -3(0)+21[/tex]
[tex]\hookrightarrow \sf y =21[/tex]
distance between both y-intercept :
21 - 615On a coordinate plane, 5 trapezoids are shown. Trapezoid L M N P is in quadrant 2 and has points (negative 2, 3), (negative 2, 6), (negative 1, 6), and (negative 1, 4). Trapezoid B is reflected in quadrant 2. Trapezoid C is reflected across the y-axis. Trapezoid D is reflected into quadrant 4. Trapezoid A is reflected across the x-axis.
Which figure represents the image of trapezoid LMNP after a reflection across the x-axis?
figure A
figure B
figure C
figure D
Answer: C
Step-by-step explanation:
Reflecting over the x axis, the image of a point in Quadrant 2 is a point in Quadrant 3.
Answer:
Figure C
Step-by-step explanation:
a yard is equal in length to three feet
Answer:
if it takes yards and turns it into feet then it just multiplies it by 3
Step-by-step explanation:
What is the area of this triangle?
Enter your answer in the box.
units
[tex]S=\frac{1}{2}\times4\times4=8\ {\rm units}^2[/tex]
[tex]\left\{co\ calculate\right.\ \ \ \ \ \ \ \ \ \ \left\{S=\frac{1}{2}\right.\left.\ ah\right\}[/tex]
I hope this helps you
:)
Based on her results, what is the probability that a student randomly picked in her class chose comedy as their favorite?
1. 1/14
2. 2/7
3. 1/2
4. 1/7
Explanation:
8 people picked comedy out of 14+8+2+4 = 28 people total.
8/28 = (4*2)/(4*7) = 2/7 is the probability of randomly selecting someone who picked comedy as their favorite.
A new club sent out 180 coupons to boost sales for next year's memberships. They provided 4 times as many to potential members than to existing members. How many coupons did they send to existing members?
They sent 36 coupons to the existing members
I need help bro like I'm screaming crying rn dude its not even a joke anymore
Answer: There are 24 monkeys in the tress.
Step-by-step explanation:
19. which one of the following is not equal to the rest? a 2% of 150 b. % of 400 b 3 c. 6% of 60 d. 69 of 50
Answer:
i think it's c
Step-by-step explanation:
a. 2/100 × 150= 3. b. 100×400=40000. c. 6/100 ×60= 1.2 ×3=3.6. d. 69×50=3400 so answer c.
what is -4 x 8 x n simplified?
Answer:
It's -32x^2
Step-by-step explanation:
Mrs. Orrie surveyed all classes that he teaches about the three different types of music thay students most listen to. His findings are displayed in the Venn diagram below.
Part A: Determine the probability that a student will like Top-Hits.
Part B: Determine the probability that a student will like country or R&B.
Part C: Determine the probability that a student will not like all three generes of music.
Using the probability concept, it is found that there is a:
A. 0.5116 = 51.16% probability that a student will like Top-Hits.
B. 0.7907 = 79.07% probability that a student will like country or R&B.
C. 0.9186 = 91.86% probability that a student will not like all three generes of music.
What is a probability?A probability is given by the number of desired outcomes divided by the number of total outcomes.
According to the Venn diagram, there is a total of 18 + 8 + 11 + 7 + 24 + 1 + 17 = 86 students.
Item a:
18 + 11 + 7 + 8 = 44 like top hits, hence:
p = 44/86 = 0.5116.
0.5116 = 51.16% probability that a student will like Top-Hits.
item b:
24 + 11 + 7 + 1 + 17 + 8 = 68 like country of R&B, hence:
p = 68/86 = 0.7907.
0.7907 = 79.07% probability that a student will like country or R&B.
Item c:
Only 7 like all three, hence 86 - 7 = 79 do not.
p = 79/86 = 0.9186.
0.9186 = 91.86% probability that a student will not like all three generes of music.
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can you help me figure this out?
Answer:
D. $8 per hour
Step-by-step explanation:
The rate of pay is found by dividing the pay by the number of hours it is for.
$40/(5 h) = $8/h
The worker gets paid $8 per hour.
josh bought 8 items at wholesale price. he sold them all for $20 and made $10 profit. what was the wholesale price of each item?
Answer:
4items
Step-by-step explanation:
bought 8items
p=10%
10\20×8
Anyone please help me with this question
Answer:
12
Step-by-step explanation:
these are 2 similar triangles, as due to the construction we have 3 corresponding pairs of equal angles (the 47° angle is a given as equal, then due to the rules of crossing lines the inner angles as S must be equal as opposite angles, and that automatically makes the third angles equal, as the sum of all angles in a triangle must be always 180°).
in similar triangles the length ratio of corresponding sides is the same for all corresponding sides and lengths in these triangles.
so, we can use the sides opposite of the 47° angles to find that ratio :
21/9 = 7/3
and now also the sides 28 and x must have the same ratio :
28/x = 7/3
4/x = 1/3
12/x = 1
x = 12
Compare the functions shown below
Using complete sentences, explain which function has the greatest y-intercept.
check the answer in the solution part.
Step-by-step explanation:[tex]Solution:\ f(x)=-6x-3.\ when\ x=0.\ f(x)=-3[/tex]
[tex]h(x)=2\ cos(x+\pi)-1\ when\ x=0.h(x)=-3\\ So\ we\ can\ know\ \left|-3\right|=\left|-3\right|\ so\\ the\ two\ functions\ has\ the\ same\\ y-intercepts.[/tex]
I hope this helps you
:)
Find an equation for the plane that contains the line and is perpendicular to the plane
For the line and the plane to be perpendicular, they have to meet at right angles
The equation for the plane is x + 2y + 3z= 26
How to determine the equation?From the complete question, we have:
Point = (5,0,7)
Plane perpendicular to ⟨1,2,3⟩
The general equation is:
a * x+b * y+c * z = d
So, we have:
d = 5 * 1 + 2 * 0 + 7 * 3
Evaluate
d = 26
Recall that:
d = 5 * 1 + 2 * 0 + 7 * 3
Replace the points with x, y and z.
So, we have:
d = x * 1 + 2 * y + 3 * z
Evaluate
d = x + 2y + 3z
So, we have:
d = x + 2y + 3z and d = 26
Equate both equations
x + 2y + 3z= 26
Hence the equation for the plane is x + 2y + 3z= 26
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For a given input value n, the function h outputs a value mmm to satisfy the following equation.
m+1=-2(n+6)
Write a formula for h(n) in terms of n.
Considering the equation given, the formula for h(n) in terms of n is given by:
h(n) = -2n - 13
What is the equation?
The equation given is:
m + 1 = -2(n + 6).
We want to write m as a function of n, hence:
m + 1 = -2(n + 6).
m = -2n - 12 - 1
m = -2n - 13
Hence:
h(n) = -2n - 13
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Choose the value of (n) that makes the sentence true.
32/n > 2
a. n=8
b.n=32
c.n=16
d.n=64
help me plss
Please help, I’ll mark your answer as brainliest.
Answer: the answer is
Step-by-step explanation:
Which choice is equivalent to the fraction below?
5
6
a. 5-6
b. 5•6
c. 6 divided by 5
d. 5 divided by 6
Answer:
\ is the same as ÷
=d) 5 divided by 6
help me please i need help
help please and thank you!
Answer:
A (0,3)
Step-by-step explanation:
The Y-intercept is where X equals 0
When X equals zero, Y equals 3.
what’s the missing side length?
A. 10
B. 7.1
C. 4
D. 35.4
Answer:
ans is 10
Step-by-step explanation:
by using pythagoras theorm
26^2=a^2+24^2
a^2=100
a=10
find the square root of following by division method
5499025
Answer:
2345
Step-by-step explanation:
5499025
5 1099805
5 219961
7 31423
7 4489
67 67
67 1
5x5x7x7x67x67
pick one of the doubles
5x7x67
=2345
brainiest please
Factoring
Need help pls
Answer:
2x(2²+3³)
I HOPE THIS HELP, THANKS ME LATER
Answer:
Factor by using the AC method-
1. (x+1) (x+4)
Factor by grouping-
2. (4x-3) (x+2)
The following double line graph represents the enrollment of students at Jefferson Middle School for 2006 through 2009. If enrollment continues in the same trend, which of the following is a good prediction for eighth grade enrollment in 2010?
130
200
165
75
Considering the double line graph, it is found that a good prediction for eighth grade enrollment in 2010 is of 165.
What does the graph state?It states that:
The number of students enrolled in the 7th grade is falling by about 20 students per year.The number of students enrolled in the 8th grade is increasing by about 20 students per year.In 2009, there were 150 students enrolled in the 8th grade, hence an estimate for 2010 should be of about 165 or 170 students.
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Answer:
165
Step-by-step explanation:
A box has a square base with side x cm , height 4 cm and volume 289 cm^3. Find x
Answer:
8.5 cm
Step-by-step explanation:
volume = height × area of base
since this a square, area of base = x²
so 289 = 4 × x²
x² = 289 ÷ 4
x² = 72.25
so x = √72.25
x = 8.5cm
hope this helps