Mathematics High School

How to calculate the area of this?

Answers

Answer 1

Answer:

1601 m²

Step-by-step explanation:

Split the quadrilateral into 2 triangles as pictured

One of them is right triangle with 2 sides known

The third side is the hypotenuse and is:

√(60²+25²) = √4225 = 65 m

Total area is the sum of the areas of the 2 triangles

A= A1 + A2

Area 1

A1 = 1/2*15*60 = 750 m²

Use Heron's formula for the second triangle:

A2 = 1/4√(65 + 64 + 27)(-65 + 64 + 27)(65 - 64 + 27)(65 + 64 - 27) ≈ 851m²

Total area

A = 750 + 851 = 1601 m²

Related Questions

USING STRUCTURE An athletic facility is building an indoor track. The track is composed of a rectangle and two semicircles, as shown. A drawing shows an indoor track. It is shaped like a rectangle with a semi-circle on each of the shorter sides. The length of the rectangle is labeled x. The radius of each semi-circle is labeled r. A. Write a formula for the perimeter of the indoor track. $P=$ b. Solve the formula for $x$ . $x=$ Question 2 c. The perimeter of the track is 660 feet, and $r$ is 50 feet. Find $x$ . Round your answer to the nearest foot. $x=$ feet

Answers

Answer:

Step-by-step explanation:

Find the digram attached.

Perimeter of the track = perimeter of the rectangle + perimeter of the 2semicircles

Perimter of a rectangle = 2(x+r) where:

x is the length

2r is the width of the rectangle = diameter of the semicircle

Perimeter of semicircle = 2πr/2 = πr

Perimeter of 2semicirle = 2πr

Perimeter of the track = 2(x+2r) + 2πr

r is the radius if the semicircle

Expand

Perimeter of the track = 2x+4r + 2πr

Perimeter of the track = 2(x+2r+πr)

b) Given P = 2(x+2r+πr), we are to make x the subject of the formula.

P = 2x+4r+2πr

P-4r-2πr = 2x

Divide both sides by 2.

(P-4r-2πr)/2 = 2x

x = (P-4r-2πr)/2

c) Given

P = 600fr

r = 50ft

x = (600-4(50)-2π(50))/2

x = (600-200-100(3.14))/2

x = 400-314/2

x = 86/2

x = 43ft

Hence the value of x to nearest foot is 43ft

I need the definition of angle

Answers

Answer: D

Step-by-step explanation:

Two rays that have a common endpoint

The correct answer is D :)

Find an ordered pair (x,y) that is a solution to the equation. 4x-y=8

Answers

Answer:

2,4

Step-by-step explanation:

Answer:

Step-by-step explanation:

Please help! I’m not sure how what this is called please help! Will mark right answer as brainliest

Answers

Answer:

[tex]\frac{7}{3}[/tex] or 2 [tex]\frac{1}{3}[/tex]

Step-by-step explanation:

entered it into my calculator

What integer represents spending $100

Answers

Answer: <100

Step-by-step explanation:

What is the equation of the line that is perpendicular to y equals negative four x plus five and passes through the point four comma negative three ?

Answers

Answer:

y= 1/4x - 4

Step-by-step explanation:

use point slope form which is:

y - y1 = m(x - x1)

we know that the slope will be 1/4 because perpendicular is a negative reciprocal.

plug everything into point slope form:

y + 3 = 1/4 ( x - 4)

we distribute the 1/4 and then subtract the three and we get our answer

y= 1/4x - 4

Write and solve an equation for the situation.

The perimeter of a parallelogram is 44 meters meters. The width of the parallelogram is 6 m less than its length. Find the length and the width of the parallelogram

The length of the parallelogram is____

The width of the parallelogram is____

Answers

Answer:

18.6667 = w

9.3333 = l

ITS WRONG

IT'S WRONG

WRONG ANSWER

Step-by-step explanation:

w-6 = l

w=w

Act like it is a rectangle, two lengths, and two sides.

w-6 + w-6 + w + w = 44

w-12 + 2w = 44

3w - 12 = 44

add 12 to both sides

3w=56

divide both sides by 3

18.6667 = w

2765 divided by 9 partial quoents

Answers

Answer:307.2222 or just 307

Step-by-step explanation:

jenny invited Hannah to go watch a movie with her family

Answers

Answer:

idk what this is 4

Step-by-step explanation:

Answer:

Hannah said no.

Step-by-step explanation:

Hannah doesn't like Jenny anymore, Jenny's too annoying and full of herself. Hannah doesn't want to be around Jenny anymore, her ego is too big for her, and that's saying something.

\begin{cases}b(1)=16\\\\ b(n)=b(n-1)+1 \end{cases} ⎩ ⎪ ⎪ ⎨ ⎪ ⎪ ⎧ b(1)=16 b(n)=b(n−1)+1 Find the 2^{\text{nd}}2 nd 2, start superscript, start text, n, d, end text, end superscript term in the sequence.

Answers

Answer:

Step-by-step explanation:

Dont listen to these bums

The second term in the sequence is 17.

What is arithmetic sequence?

An arithmetic sequence is sequence of integers with its adjacent terms differing with one common difference.

Given the nth term of a sequence to be b(n)=b(n-1)+1, where n is the number of terms of the sequence

If b(1) = 16... (1)

The second term of the sequence is generated for n= 2:

b(n)=b(n-1)+1

b(2)=b(2-1)+1

b(2) = b(1)+1... (2)

Substituting equation 1 into 2

b(2) = b(1)+1

b(2) = 16 + 1 = 17

Hence, The second term in the sequence is 17.

Learn more about arithmetic sequence here:

https://brainly.com/question/3702506

#SPJ2

Simplify. 4√−99
Enter your answer, in simplest radical form, in the box.

Answers

Answer:

Not sure on this but I'm pretty sure its 12i√11 since you have to use an imaginary number in order for the equation to work.

By simplifying the expression 4√−99, we have; 12i√11.

To simplify 4√−99, we first need to simplify the number present within the square root.

To do this, the factors are determined as follows;

4 × √9 × √-11

We can therefore find the square root of 9 so that we have;

4 × 3 × √-11.

4 × 3 × √-11

12 × √-11

Furthermore, √-11 can be rewritten as;

√-1 × √11.

However, in complex numbers, √-1 = i.

Ultimately, we have 12i√11 as the simplification of 4√−99.

Read more:

https://brainly.com/question/12375854

solve 2m + 4m - 3m squared

Answers

Answer:

if you put the equation in slope intercept form you get y=3/2x-5

Will give Brainliest to whoever can help me

Answers

Answer:

-4/3, -0.4, 0.8, [tex]\sqrt 2[/tex], [tex]\sqrt 11[/tex]

Step-by-step explanation:

-4/3 equals -1.333(repeating)

Answer: for the first one it is +1

for the second one it is +3

for the third one it is +7

for the 4th one it is +13

and for the fifth one it is +21

To answer this question, type your answer in the box.

Sarah's grandmother has a square blanket that covers an area of 25 square feet. Sarah wants to put a string of pearls around the sides of the blanket. How many feet long will the string of pearls have to be for Sarah to complete the job?
answer for free brainly

Answers

Answer:

20 feet

Step-by-step explanation:

Twelve freinds go to a resturant together to celebrate a birthday. The food bill is $192.77 and $48.19 is added on for tax and tip. If the friends plan to divide the bill evenly between the 12 people, how much does each person owe

Answers

Answer:

20.08

Step-by-step explanation:

add 192.77 and 48.19 and then divide that by 12

Each person would pay $20.08. All you need to do is add up the food bill and tax then divide it by 12.

Evaluate the expression:
5a - b + c when a = 1, b = -1, and c = -1

Answers

Answer:

-1

Step-by-step explanation:

5a-b+c

Plugin what you know

5(1)-1-1

Solve

-1

The sum of 3 consecutive integers is 120. What is the greatest of these integers? HELP ME IT'S DUE TODAY!!!

Answers

Answer:

Step-by-step explanation:

The consecutive integers are increasing by 1

x ← the smallest integer

x+1 ← the middle integer

x+1+1 = x+2 ← the largest integer

x + x+1 + x+2 = 120

3x + 3 = 120

÷3 ÷3

x + 1 = 40

-1 -1

x = 39

x+2 = 39 + 2 = 41

neeed help ...........

Answers

Answer:

Option C is the correct answer

Answer:

Option C

Step-by-step explanation:

Option C is the option as its was corisponds with the following graph when the equations are plugged in as you can see C is what is shown by the over lapping Red and Blue colors

I hope this helps.

Consider the function represented by the equation y-6x-9 = 0. Which answer shows the equation written in function
notation with x as the independent variable?
O F(x) = 5x + 9
O f(x) = 1/3 x + 2 / 2
Of) = 5y+9
O fox = 1/3 + 2 / 2

Answers

Answer:

f(x) = 5x+9

Step-by-step explanation:

This meets the criteria:

function notation - all this means is replace the'y' with 'f(x)

x as the independent variable - basically means don't change the letter for x

Which of the following shows a function written in equation notation that is equivalent to the function below? f(x) = 3(x+10)

Answers

Answer:

A. y = 3x + 10

Step-by-step explanation:

Answer is correct from plato too.

Answer:

y= 3(x + 10)

Step-by-step explanation:

I tried the y =3x=10 and I got it wrong, so I tried my answer and it said it was correct.

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