E. A semicircular window with a radius of36 inches allows light through an area of how

many square feet? You may use a calculator

if one is available. Round your answer to the

nearest square foot.

Answers

Answer 1
Answer:

Answer:

14 sq. ft (14 ft^(2))

Step-by-step explanation:

First, we know that the area of a circle is \n A_(circle) =\pi * r^(2), where r is the radius of the circle, and \pi is the ratio of the length of a circle's circumference to its diameter, that is, \pi=3.1415926535 ... . But we have here a semicircle.

So, the area of a semicircle is \n A_(semicircle) = (1)/(2) (\pi * r^(2)).

We also know that 1 feet = 12 inches, so 36 inches are:

\n (1ft)/(12inches) * 36 inches = 3 ft

Then, the area of the semicircular window is:

\n A_(semicircular-window) = (1)/(2) (\pi * 3^(2)) ≈ 14.1372.

Well, rounding the answer to the nearest square foot, we have that the semicircular window allows light through an area of 14 sq. ft (14 ft^(2)).


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if you intend to begin saving 30% of your income and you bring home $750 a week, how much will you have saved in one year?

Answers

Answer:

$11,700

Step-by-step explanation:

Given:

Weekly income = $750

Amount saved weekly,

= 30% of weekly income

= (30/100) x $750

= $225

Assuming there are 52 weeks in a year

yearly savings,

= amount saved weekly x 52 weeks

= $225 x 52 weeks

= $11,700

Use distributive property to simply 0.75(3.5a-6b)

Answers

0.75 × 3.5a = 2.625a
0.75 × 6b = 4.5b
your answer is 2.625a - 4.5b
Mulitiply everything on the outside of the brackets to everything inside so:
0.75 • 3.5a = 2.625a
And
0.75 • 6b = 4.5b

2.625a - 4.5b would be your simplified answer

There are 18 rows of seats in the auditorium.There are 24 seats in each row.How many seats are in the auditorium in all?

Answers

If there are 18 rows of seats in the auditorium and there are 24 seats in each row then the total number of seats are 432.

What is Multiplication?

multiplication is a method of finding the product of two or more numbers.

To find the totalnumber of seats in the auditorium, we need to multiply the number of rows by the number of seats in each row.

Total number of seats = 18 rows × 24 seats/row

Total number of seats = 432 seats

So, there are 432 seats in the auditorium in total.

Hence, if there are 18 rows of seats in the auditorium and there are 24 seats in each row then the total number of seats are 432.

To learn more on Multiplication click:

brainly.com/question/5992872

#SPJ2

To know how many seats are in the auditorium inall we need 18 multiply 24.

The answer is 432 
seats are there in the auditorium. 

S squared - 16s - 57

Answers

s² - 16s - 57 = s² - 16s + 64 - 121 = s² - 2*1*8 + 8² - (11)² =
we use the formula  a² - 2ab + b² = (a-b)²
(s - 8)² - (11)²
we use the formula a² - b² = (a+b)*(a-b)
(s - 8 )² - (11)²
   a²      -   b²
 
[ (S - 8) - 11] * [ (S-8) + 11] = [S-19] * [S+3]                     

Mumbi is approximately 845 kilometers away from Bangalore, and Mumbai is approximately 1160 km away from Delhi. The distances, measured in centimeters between cities on Allyson’s map are proportional to the real distances.Which of the following could be the the distances on Allyson’s map?

Choose 3 answers

Bangalore to Mumbai: 116.5 cm
Mumbai to Delhi: 174 cm

Bangalore to Mumbai: 42.25
Mumbai to Delhi: 58 cm

Bangalore to Mumbai: 23.4 cm
Mumbai to Delhi: 29 cm

Bangalore to Mumbai: 16.9 cm
Mumbai to Delhi: 23.2 cm

Bangalore to Mumbai: 25.35 cm
Mumbai to Delhi: 34.8cm

Answers

Mumbi is approximately 845 kilometers away from Bangalore, and Mumbai is approximately 1160 km away from Delhi, then the ratio between these distances is

(845)/(1160)=(169)/(232).

A. Bangalore to Mumbai: 116.5 cm;

Mumbai to Delhi: 174 cm

The ratio:

(116.5)/(174)=(233)/(348)\neq (169)/(232)

This option is false.

B. Bangalore to Mumbai: 42.25

Mumbai to Delhi: 58 cm

The ratio is

(42.25)/(58)=(845)/(1160)=(169)/(232)

This option is true.

C. Bangalore to Mumbai: 23.4 cm

Mumbai to Delhi: 29 cm

The ratio is

(23.4)/(29)=(117)/(145)\neq (169)/(232)

This option is false.

D. Bangalore to Mumbai: 16.9 cm

Mumbai to Delhi: 23.2 cm

The ratio is

(16.9)/(23.2)=(169)/(232)

This option is true.

E. Bangalore to Mumbai: 25.35 cm

Mumbai to Delhi: 34.8cm

The ratio is

(25.35)/(34.8)=(507)/(696)=(169)/(232)

This option is true.

Answer: correct options are B, D and E

Answer:

Step-by-step explanation:

Mumbi is approximately 845 kilometers away from Bangalore, and Mumbai is approximately 1160 km away from Delhi, then the ratio between these distances is

A. Bangalore to Mumbai: 116.5 cm;

Mumbai to Delhi: 174 cm

The ratio:

This option is false.

B. Bangalore to Mumbai: 42.25

Mumbai to Delhi: 58 cm

The ratio is

This option is true.

C. Bangalore to Mumbai: 23.4 cm

Mumbai to Delhi: 29 cm

The ratio is

This option is false.

D. Bangalore to Mumbai: 16.9 cm

Mumbai to Delhi: 23.2 cm

The ratio is

This option is true.

E. Bangalore to Mumbai: 25.35 cm

Mumbai to Delhi: 34.8cm

The ratio is

This option is true.

Answer: correct options are B, D and E

What’s the correct answer

Answers

Answer:

ill say C because its a greater and the greatest  chance