A composite figure is formed by combining a square and a triangle. Its total area is 57.5 ft2. The area of the triangle is 32.5 ft2. What is the length of each side of the square? Complete the explanation. The area of the square is ft2, so each side of the square is ft.

Answers

Answer 1

Answer:

Area of square = Composite Area - Area of Triangle

                         =    32.5  - 7.5  = 25

Area of square = 25 square feet.

Formula for area of square = s²

s²  = 25

s = √25

s = 5

Length of each side of square = 5 feet.

Answer 2

Question:

A composite figure is formed by combining a square and a triangle. Its total area is 31.5 ft2. The area of the triangle is 15.5 ft2. What is the length of each side of the square? Complete the explanation.

Answer:

The area of the square is  16 ft², so each side of the square is  4 ft.


Related Questions

$4,000 principal earning 6% interest after 3 years Simple Interest

Answers

Answer:

$4720

Step-by-step explanation:

Simple Interest

A=P(1+in)

A- Accumulated Amount

P- Principal Amount

i- Interest (÷100)

n- Number Of Years

A=P(1+in)

A=4000(1+0.06×3)

A=4000(1.18)

.°.A=$4720

Someone help please hurry and make sure is right :)

Answers

Answer:

Corresponding

Step-by-step explanation:

x and y are corresponding angles.

That is a corresponding angle

In ARST, r = 52 cm, s = 55 cm and ZT=48°. Find the length of t, to the nearest
centimeter.

Answers

9514 1404 393

Answer:

  44 cm

Step-by-step explanation:

The law of cosines is applicable.

  t^2 = r^2 + s^2 -2rs·cos(T)

  t^2 = 52^2 +55^2 -2·52·55·cos(48°) ≈ 1901.57

  t ≈ √1901.57 ≈ 43.607

The length of t is about 44 cm.

Hey there!

[tex]\dagger \: \sf\red{Question:}[/tex]

In ARST, r = 52cm, s = 55cm and ZT = 48°. Find the length of T, to the nearest centimeter.

[tex]\dagger \: \sf\blue{Solution:}[/tex]

By the law of cosines,

[tex]{\underline{\boxed{\frak{\pmb{\quad {t}^{2} = {r}^{2} + {s}^{2} - 2rs \times cos(T) }}}}} [/tex]

[tex]\implies\tt[/tex] t² = (52)² + (55)² - 2 × 52 × 55 × cos(48°)

[tex]\implies\tt[/tex] t² ≈ 1901.57

[tex]\implies\tt[/tex] t² = √1901.57

[tex]\implies\tt[/tex] t² = 43.607

[tex]\implies\tt[/tex]t = 44 cm

Therefore;

The length of t is 44 cm.

what is this ????????????????

Answers

Answer:

(2-3)

Step-by-step explanation:

John is making a circular table that has a top with a diameter of 24 inches. Find the circumference of the table and round to the nearest tenth.

Answers

Answer:

The cirumference would be 78.5.

24*pi would equal 75.5398163397 so just round that.

Hope this helped

Can someone help me with this geometry question ASAP ty

Answers

Answer:

angle S    100  option C

Step-by-step explanation:

P and S are consecutive angles

Interior angles of a parallelogram

1. Opposite angles are congruent

2. Consecutive angles are supplementary (They add to 180 )

(2x+20) + (3x+10) = 180

5x+30 = 180

5x = 150

x= 30

angle S      3x30 +10 =

                   90 +10 =   100

The other angle P      2x30 +20 = 60 +20 = 80

  100 +80 = 180

 

A principal of $3400 is invested at 4.75% interest, compounded annually. How much will the investment be worth after 5 years?
Use the calculator provided and round your answer to the nearest dollar.

Answers

Answer:

4287.94

Step-by-step explanation:

the equation would be 3400(1+4.75)^5 which equals to 4287.94

42.987 jendbjdjdndbshhs

A greengrocers sells mangoes for 77p each
a. how many mangoes can you get for 5 pounds?
b. how much change should you receive?

Answers

You could get 7 mangoes you would recive 38p in change

Answer:

6 mangoes

38p in return

Step-by-step explanation:

Which is an equivalent expression written using Distributive property: 3 (m + 3)

Answers

Answer:

3m + 9

Step-by-step explanation:

find the size of angle x.

Answers

You need to subtract. From 180 and the other number so subtract 180
- 124
And you will get your answer. I hope this helps.

3 (t + 4) = 25.5

t= ??

Answers

Answer:

t = 4.5

Step-by-step explanation:

Distribute 3 to the parentheses:

3(t + 4) = 25.5

3t + 12 = 25.5

Subtract 12 from both sides:

3t = 13.5

t = 4.5

So, the answer is t = 4.5

Which numbers will round to 12 when they are rounded to the nearest whole number?

Select each correct answer.

11.39

12.43

11.65

12.05

11.18

Answers

Answer:

12.43 and 11.65

Answer:

12.43

11.65

12.05

Step-by-step explanation:

if a number ends in .5 or more ex:12 it will round up. if a number ends in anything smaller than that it rounds down

the diameter of a circle is 14m. find the circumference to the nearest tenth​

Answers

Answer:

44

Step By Step Explanation:

Formula for circumference - 2πr

1. Find raduis: 14/2=7 - Radius=7

2. Plugin number and solve - 2π(7)=43.9822971503

3. Round 43.9822971503 to 44.

Decide whether each expression simplifies to a number less than -1 or greater than 1.

Less than -1
Greater than 1
Neither


(-10) divided by 6
-(5 divided by 2)
-3 divided by (-4)
-2• [- 7/2]
8/3•[-3:5]

Answers

Answer:

Step-by-step explanation:

(-10) ÷ 6 = [tex]\frac{-10}{6}=\frac{-5}{3}=-1\frac{2}{3}[/tex]   less than -1

-(5÷2) =[tex]-\frac{5}{2}=-2\frac{1}{2}[/tex]    less than (-1)

(-3÷ (-4) = [tex]\frac{-3}{-4}=\frac{3}{4}[/tex]   Neither

(-2)* [-7/2] = [tex](-2)* \frac{-7}{2}=(-1)*(-7)=7[/tex] Neither

(8/3)*(-3/5)=[tex]\frac{8}{3}*\frac{-3}{5}=\frac{-8}{5}=-1\frac{3}{5}[/tex]     less than (-1)

Please help me , at least do one and explain it please .

Answers

9514 1404 393

Answer:

113.0 cm²2464.0 in²95.0 ft²

Step-by-step explanation:

1. The area of a circle is given by the formula ...

  A = πr² . . . . . where r is the radius

The radius is shown as 6 cm, so the area is ...

  A = (3.14)(6 cm)² = 113.0 cm²

__

2. The radius is shown as 28 in. We note that this is a number divisible by 7, so we choose 22/7 for π.

  A = (22/7)(28 in)² = 2464 in² . . . . see comment

__

3. The radius is half the diameter, so is 11/2 = 5.5 ft. Then the area is ...

  A = (3.14)(5.5 ft)² = 95.0 ft²

_____

Additional comment

If you use a more exact value of π for problem 2, the area is 2463.0 in². If you use 3.14 as the value of π, the area rounds to 2461.8 in². For these values of pi (3.14 or 22/7), the answer is only good to about 3 significant digits. 2464 has more significant digits, so digits beyond the first 3 may be in error.

PLEASE HELP!! 50 POINTS!
Answer the question in the picture.

Answers

Answer:

1.9

2.16

3.225

4.196

5.25

6.256

I answered again since they deleted mine

1.9

2.16

3.225

4.196

5.25

6.256

hope it helps

am i going to fail geometry

Answers

Answer:

If you don't try yes

Step-by-step explanation:

Answer:

im not sure but you should try your best

Explanation:

Function or not a function?

Answers

Answer:

Not a function

Step-by-step explanation:

To answer this, we first need to know what a function actually is: A function is a relation between 2 sets which relates the element of the first set to only one element of the second set.

We can see in the provided image that the value -9 is related to 2 values of the second set, hence it is NOT a set.

Another way to think about it is that a function takes an input and gives only one output (where the left set is the input and the right set is the output). Since -9 gives 2 outputs from the given relation, it cannot be a function.

What’s equivalent to 5(2x+6)

Answers

Answer:

5(6+2x)

Step-by-step explanation:

PLEASE PLEASE PLEASE HELP IT IS AN EASY MATH QUESTION I NEED CORRECT ANSWERS FAST THANK YOU WHOEVER IS RIGHT AND/OR FIRST I WILL MARK BRAINLIEST THANK'S FOR HELPING!!!!


$4550 was deposited into an account compounding annually at 4% per year.

a) How much will be in the account after 9 years? Round to the nearest cent.


b) What was the interest earned? Round to the nearest cent.

Answers

Answer:

6188

Step-by-step explanation:

Answer: 6188

Step-by-step explanation:

Nancy’s rectangular garden has a diagonal of 18.4 feet and a width of 7 feet. If she needs to paint the floor, how much area is she going to cover?

Answers

Answer:

17

Step-by-step explanation:

The computation is shown below:

Here we applied the pythagoras theroem

Given that

Diagonal of 18.4 feet

Width of 7 feet

So, the area would be

= 18.4^2 - 7^2

= 17

Whats the perimeter?

Answers

Answer: The perimeter is 40.1

Step-by-step explanation: This is because a perimeter is just all the sides added up so 8+4+4+4.5+5.6+14 which is 40.1

Hope this helps and have a nice day

Answer:

The perimeter is 40.1

Step-by-step explanation: This is because a perimeter is just all the sides added up so 8+4+4+4.5+5.6+14 which is 40.1

Hope this helps and have a nice day

Step-by-step explanation:

okay heres the photo

Answers

Anwser = 117


Hope it helped

2.99 rounded to the nearest cent

Answers

$3.00 would be the answer your looking for

Which expression is equivalent to 6(5x + 4) - 6x ?
a. 24x + 24
b. 48x
C. 30x + 24
d. 5x + 10​

Answers

Answer:

a. 24x + 24

Step-by-step explanation:

Given

6(5x + 4) - 6x

= 30x + 24 - 6x

= 24x + 24

Hope it will help :)❤

Express 150 as:
a) A fraction of 350.
b) A percentage of 600.

Answers

A) 3/7 and B) 25%. Give me a like if I helped please :)

Answer:

a)3/7

b)25%

Step-by-step explanation:

Charlie Fox's Pizza has a coupon for 30% off an extra large pizza. If the pizza you want
regularly costs $28, how much would the sale price be?

Answers

Answer:

8.4

Step-by-step explanation:

Move the decimal point to create $2.8, which is 10% of $28. Once you have the 10% ($2.8) multiply it by 3 to get 30%.

please help me its my plato grade

Answers

Answer:

C)

Step-by-step explanation:

because the graph has been translated 5 units to the left and one unit down, and C matches the requirements

What is the value of x in the equation 0.03x − 1.2 = 0.24?

Answers

Answer:

x = 48

Step-by-step explanation:

solved it just now-

HELP ME PLEASE HURRY UP



In the right triangle shown, what is the length of segment PQ?
P
17 cm
15 cm

Answers

Answer:

a is your answer!!

Step-by-step explanation:

Hope this Helps!!!

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