A city just opened a new playground for children in the community. An image of the land that the playground is on is shown.

A polygon with a horizontal top side labeled 45 yards. The left vertical side is 20 yards. There is a dashed vertical line segment drawn from the right vertex of the top to the bottom right vertex. There is a dashed horizontal line from the bottom left vertex to the dashed vertical, leaving the length from that intersection to the bottom right vertex as 10 yards. There is another dashed horizontal line that comes from the vertex on the right that intersects the vertical dashed line, and it is labeled 12 yards.

What is the area of the playground?

900 square yards
855 square yards
1,710 square yards
1,305 square yards

Answers

Answer 1

Answer:

By answering the presented question, we may conclude that Therefore rectangle 855 square yards is the closest response choice.

What is rectangle?

In Euclidean geometry, a rectangle is a parallelogram with four small angles. It may also be defined as a fundamental rule hexagon or one in which all of the angles are equal. Another alternative for the parallelogram is a straight angle. Four of the vertices of a square are the same length. A quadrilateral with four 90° angle vertices and equal parallel sides has a rectangle-shaped cross section. As a result, it is also known as a "equirectangular rectangle." A rectangle is sometimes referred to as a parallelogram due to the equal and parallel dimensions of its two sides.

The rectangle has a 20-yard base and a 10-yard height, hence its area is:

200 square yards = 20 yards x 10 yards

The triangle on the left has a 20-yard base and a 45-yard height (since the top side of the polygon is indicated as 45 yards), hence its area is:

450 square yards = 1/2 x 20 yards x 45 yards

210 square yards = 1/2 x 12 yards x 35 yards

As a result, the total playground area is:

860 square yards = 200 square yards plus 450 square yards plus 210 square yards

Therefore 855 square yards is the closest response choice.


Related Questions

What is the approximate perimeter of the figure? Use 3.14 for pi.

Answers

Answer:

34,28 ft

Step-by-step explanation:

This figure is formed from a rectangle and a semi-circle

Opposite sides of a rectangle are equal

This figure's perimeter is the sum of all side lengths:

2 sides of 12 ft

1 side of 4 ft

Half of the circumference

d (diameter) = 4 ft

r (radius) = 0,5 × 4 = 2 ft

First, we have to find the half of the circumference (C):

[tex]0.5c = (2\pi \times r[/tex])/2

[tex]0.5c = (2 \times 3.14 \times 2)/2 = 6,28[/tex]

Now, we can find the perimeter of the given figure:

P = 6,28 + 12 + 12 + 4 = 34,28 ft

Remember the first couple of digits in pi (this is helping but it’s very important) 3.14158

Please Help !!!
Extra points!!!
I suck at Math!!!
Due in a few minutes!!!
If not correct will be deleted.

Answers

Answer:

net worth of family is $273,700

Step-by-step explanation:

add assets

Add liabilities

Subtract liabilities from assets

Show your work and explain in a full sentence how 4 2/6 is equivalent to 3 8/6.
Will mark brainly!

Answers

Answer:

Given: [tex]4\frac{2}{6}[/tex] = [tex]3\frac{8}{6}[/tex]

First, convert the mixed fractions to improper ones:

[tex]\frac{26}{6}[/tex] = [tex]\frac{26}{6}[/tex]

When you look at them their proportional.

Answer:

When you look at them they're proportional.

i need help on this.this is for homework help me please

Answers

the selection choices would be helpful to know so we can answer to the best of our ability:)
The question is not clear at all

what is the surface area of a rectangular prism with a length of 38 a width of 20 and a height of 20 show work please

Answers

Answer:

The surface area of a rectangular prism can be calculated using the formula:

Surface Area = 2lw + 2lh + 2wh

where l, w, and h are the length, width, and height of the rectangular prism, respectively.

Given the dimensions of the rectangular prism as:

Length (l) = 38

Width (w) = 20

Height (h) = 20

Substitute the values in the formula to get:

Surface Area = 2lw + 2lh + 2wh

Surface Area = 2(38)(20) + 2(38)(20) + 2(20)(20)

Surface Area = 1520 + 1520 + 800

Surface Area = 3840 square units

Therefore, the surface area of the rectangular prism is 3840 square units.

Answer:

3840

Step-by-step explanation:

A=2(wl+hl+hw)=2·(20·38+20·38+20·20)=3840

Brianliest if correct!

Triangle NMO is drawn with vertices N(−5, 2), M(−2, 1), O(−3 , 3). Determine the image vertices of N′M′O′ if the preimage is reflected over x = −2.


A: N′(5, −2), M′(2, 1), O′(3, 3)

B: N′(−2, 2), M′(1, 1), O′(0, 3)

C: N′(1, 2), M′(−2, 1), O′(−1, 3)

D: N′(−5, −2), M′(−2, −1), O′(−3, −3)

Answers

Answer:

C

Step-by-step explanation:

PLEASE HELP ME!!! GOING TO FAIL MY GRADE!!!
Which equation could be used to find the total amount earned, T, for working h hours at d dollars per hour? (the slash represents fractions)
A.
T = h/d

B.
T = dh

C.
T = d+h

D.
T = d/h

Answers

Answer: T = dh

Step-by-step explanation:

Answer: b T= DH

Step-by-step explanation:

because t = d * h lets say there 5 dollars per h for 3 h so 5 * 3 would equal 15 so 15 dollars total

hope you make a good grade ;)

help me and thank you if you do

Answers

the answer is 91,000
910/10^2=
910/100=
9.1

Pls help quick!! Giving 20 points!

Answers

Answer:

m=100 N=4480 P=1706. Q= 213.25

Step-by-step explanation:

First divide 800/8= 100

100 is M

Undo division for 560x8= 4480

4480 is N

Add 100+560= 660

Solve to equations 6986/8= 873.25

subtract 873.25-660= 213.25

213.25 is Q so undo division 213.25x8= 1706

1706 is P

Add 800+4480+1706= 6986

6986 is the first part of the equation

Add 100+560+213.25= 873.25

873.25 is the answer to the equation making answer that I gave correct

6986/8= 873.25

Hope this helps :D

Lauren receives a discount on each book she purchases. the original price of each x dollars. she purchase 4 books for a total of (4x-12) dollars. Factor the expression. what can you conclude about the discount?

Answers

We can conclude a lot of things for starters. I will give the question answer and equation. It is gonna be 16x-48 because what I did is that I put (4x-12) and then a 4 next to it. Or you can do 4 (4x-12) which is the same possible answer! We can determine how to distribute this equation and get the answer.

What is the surface area of the rectangular prism shown below?
a. 442 in2
b. 328 in2
c. 348 in2

Answers

Answer:

B. 328 in2

Step-by-step explanation:

I'm 99.9% sure this is right!

I'm really sorry if it's not!

2(6x8) + 2(6x9) + 2(8x9) =348 in

describe what happens when you divide a difference by 3

Answers

When you divide a difference by 3, you are essentially finding the average difference between two quantities and then dividing that value by 3.

For example, if you have two numbers a and b, and you want to find the difference between them, you would subtract b from a to get a - b. Dividing this difference by 3 would give you:

(a - b) / 3

This expression represents the average difference between a and b, divided by 3.

For instance, if a = 10 and b = 6, then the difference between a and b is 4. Dividing this difference by 3 gives us:

(10 - 6) / 3 = 4 / 3

Therefore, when you divide a difference by 3, you are finding the average difference between two quantities and then dividing that value by 3.

math please help me out needed by 9pm

Answers

Answer: 2.26

Step-by-step explanation: The formula for finding out the radius of a cylinder when given the volume and height is (r) = √(V / π × h)

V is the volume, π is equal to 3.14, and h is the height

(r) = √(320/ π × 20)

(r) = √(320/ 3.14 × 20)

(r) = √(320/ 62.8)

(r) = √(5.09)

(r) = 2.256

when you round 2.256 to the nearest hundredth is 2.26 cm  

I hope this helps              

The answer would be:
The radius of the cylinder is 2.26 cm

Sarah rolls two fair number cubes, each labeled 1 through 6. What is the probability of rolling a sum of 7?

Answers

Answer: The probability is 1/6.

Step-by-step explanation:

If two dice are rolled together, the sample space of outcomes is

(1, 1), (1, 2), (1, 3), (1, 4), (1, 5), (1, 6),

(2, 1), (2, 2), (2, 3), (2, 4), (2, 5), (2, 6),

(3, 1), (3, 2), (3, 3), (3, 4), (3, 5), (3, 6),

(4, 1), (4, 2), (4, 3), (4, 4), (4, 5), (4, 6)

(5, 1), (5, 2), (5, 3), (5, 4), (5, 5), (5, 6)

(6, 1), (6, 2), (6, 3), (6, 4) , (6, 5), (6, 6)

⇒ Total number of outcomes(sample space) = 36

Getting the sum 7 (favourable outcomes) = (1, 6), (2, 5), (3, 4), (4, 3), (5, 2), (6, 1).

⇒ Probability of Getting a sum 7 = Number of favourable outcomes / Total number of outcomes.

⇒ P = 6 / 36

⇒ P = 1 / 6

if it takes 10.5 bushels of grapes to make 30 quarts of jelly, how many bushels of grapes will it take to make 3,200 quarts of jelly

Answers

Answer:

it will take 1120 bushels of grapes to make 3200 quarts of jelly.

Step-by-step explanation:

We can use a proportion to solve this problem. If 10.5 bushels of grapes make 30 quarts of jelly, then we can write:

10.5 bushels / 30 quarts = x bushels / 3200 quarts

where x is the number of bushels of grapes needed to make 3200 quarts of jelly.

To solve for x, we can cross-multiply and simplify:

10.5 bushels * 3200 quarts = 30 quarts * x bushels

33600 bushels-quarts = 30x bushels-quarts

Dividing both sides by 30 bushels-quarts, we get:

x = 33600 bushels-quarts / 30 bushels-quarts

x = 1120 bushels

Answer:

106.6666666666

Step-by-step explanation:

MATH PLEASE HELP!!!!!!!!

Answers

Step-by-step explanation:

Find angle 44° first    ( 136 + 44 = straight line = 180 degrees)

   then angle 1 = 180 - 44- 20 = 116°   ( three angles of triangle sum t0 180°)    

M1: 116
180-136:44
44+160-180:116

HELP PLEASE! I DON'T UNDERSTAND ANY OF THE 3 PARTS, AND I HAVE TO EXPAIN MY WORK!

Answers

Ok? But where’s the picture and the question?! How are we supposed to answer if we don’t have it

Answer: WUT 3 parts theres no picture or anything

Step-by-step explanation:

Find the percent equivalent 6 over 15.

9%
40%
49%
66%

Answers

40. Hope this helps
40% is the right answer

Sam is reading a book. He finishes reading 6 pages of the book in 18 minutes. How many pages would Sam have finished reading in 72 minutes?
A. 15
B. 24
C. 10
D. 9

Answers

He will have read 216 page because he reads at a rate of 3 pages per minute
216 just multiply it’s not hard

derive and apply a formula for the volume of a right prism
The Truit family rented the cabin shown in the shape of a triangular prism. The cabin is 30 feet deep. What is its volume?
25 ft
and
15 ft

Answers

The formula for the volume of a right prism is given by:

Volume = Base area x Height

In this case, the base of the triangular prism is a triangle, and its area can be calculated using the formula:

Base area = (1/2) x Base x Height

where Base and Height are the dimensions of the triangular base.

So, to find the volume of the cabin, we can use the following steps:

Calculate the area of the triangular base: Base area = (1/2) x Base x Height Base area = (1/2) x 25 ft x 15 ft Base area = 187.5 sq ft

Multiply the area of the base by the height of the prism: Volume = Base area x Height Volume = 187.5 sq ft x 30 ft Volume = 5625 cubic feet

Therefore, the volume of the cabin is 5625 cubic feet.

2. The figure below consists of a triangle, a rectangle, and a trapezoid. What is the area of the figure in square units?​

Answers

Answer: 56

Step-by-step explanation

well you could break up this "shape"into multiple different parts (already broken) you want to find the area of all the shapes then add the areas.

first lets start off with the two triangles at the top the area for a triangle is base x height divided by 2, the base would be  because of the 5 and the 2 at  the edge of the triangle and the height would be 4 because of the 10 at the top minus the 6

for this case we wouldn't divide by 2 because there are 2 triangles, so there is no point. ( 7 X 4 = 28)  

then we would move onto the large rectangle, the area of a triangle is base x height, base=4 height=5 (4 x 5 = 20)

then we move onto the smaller rectangle using the same area formula, base=2 because if you look at the 6 on the top and minus the 4 of the large rectangle. height =3 (2x3=6)

and the last one the small triangle, for this we would use the same formula ( base x height divided by 2) we are dividing by two because there is only 1 triangle. base=2 and height=2 because of the five on the right minus the 3 *height of the smaller rectangle* so

(2X2 divided by 2= 2)

then we add them all up, 28 + 20 + 2 + 6 = 56

Is / What is the answer of x3+y3+z3=k?

Answers

Answer:

k=x3+y3+z3

Step-by-step explanation:

Answer:

9 x3+y3+z3=k

Step-by-step explanation:

3x3 is. nine

I need help on this question (15 points)

Answers

1.58*2=3.06

4.20*6.99=29.36

4.38=4.38

3.06+29.36+4.38=36.8

40-36.8=3.2

Answer: $3.2

PLEASE GIVE BRAINLIEST

If m angle3 = 29°, what is m angle4?

Answers

Angle 4 is 151° because 180-29

Answer:

Angle 4 is 151

Step-by-step explanation:

angle 3 and 4 form a straight line and since it is a straight line it equals 180 and since you know that angle 3 is 29 you subtract 180 - 29 = 151. And when you add that back up 29 + 151 = 180. So this is correct

Hope this helps :D

Which angles are complementary to 1? Select all that apply.

Answers

Answer: Angle 6 and Angle 3

Step-by-step explanation:

name the operations in order that are used to evaluate the expression 20 - [6 + (4 x 3)]

Answers

Parenthesis
Exponent
Multiplication
Division
Add
Subtract

Answer: 8.

Step-by-step explanation:

The solve this expression, you have to use PEMDAS rules. PEMDAS stands for Parentheses, Exponents, Multiplication, Division, Addition, and Subtraction. This means that the first thing that you have to do is what is in the parentheses. This is [6 + (4 x 3)]. As I explained before, you have to do multiplication before addition, thus you have to do 4 x 3 first. This is 12, so now you have 6 + 12 in parentheses. Add this to get 18. Now that you are done solving the things in parentheses, you can use the 20 that is outside of the parentheses. You then have 20 - 12. This is 8, so your answer is 8.

I hope my answer helped you! A brainilist is very helpful and appreciated! <333

Find the GCF of 16 and 56.

Answers

The answer is 8. Have a good one! (You can ask the internet for this.)
8 is the answer. Hope this helps :)

Which graph represents a function with the following criteria?

Answers

Answer:

Step-by-step explanation:

Kent and Lane share a 12-ounce box of cereal. By the end of the week, Kent has eaten 1/6 of the box, and lane has eaten 2/3 of the box of cereal. How many ounces are left in the box.

Answers

Answer:

10/12

Step-by-step explanation:

Pre-Algebra 6 Brainliest, If correct

Triangle ABC has vertices at A(−5, 2), B(1, 3), and C(−3, 0). Determine the coordinates of the vertices for the image if the preimage is translated 4 units right.

A′(−9, 2), B′(−3, 3), C′(−7, 0)
A′(−4, 6), B′(0, 7), C′(−5, 4)
A′(−1, 2), B′(5, 3), C′(1, 0)
A′(−5, −2), B′(1, −1), C′(−3, −4)

Answers

Answer:

A′(−1, 2), B′(5, 3), C′(1, 0)

Step-by-step explanation:

When translating a pre-image, there are some easy tricks you can use to figure out what the coordinates of the image are instead of drawing it out.

When translated to the right, add the number of units translated to the x-value.

This is because, when we move right on a coordinate plane, we move along the x-axis toward the positive numbers.

When translated to the left, subtract the number of units translated to the x-value.

This is because, when we move left on the coordinate plane, we move along the x-axis toward the negative numbers.

When translated up, add the number of units translated to the y-value.

This is because when we move up on the coordinate plane, we move along the y-axis toward the positive numbers.

When translated down, subtract the number of units translated to the y-value.

This is because when we move down on the coordinate plane, we move along the y-axis toward the negative numbers.

This is how I solved this problem. Apply these tricks and you will see that you will get the correct answer.

I hope this will help you! :)

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