All categories

3 years ago

Find the area of the blue sector. Use 3.14 for pi and round to the nearest hundredth.

Mathematics

1 answer:

Anni [7]3 years ago

4 0

Answer:

25.64 in^2

Explanation:

60360⋅πr2, where r=7

=16⋅3.14⋅72=16⋅3.14⋅49=25.64 in^2

You might be interested in

Which is the inverse of the function a(d)=5d-3? And use the definition of inverse functions to prove a(d) and a-1(d) are inverse

Drupady [299]

Answer:

$a'(d) = \frac{d}{5} + \frac{3}{5}$

$a(a'(d)) = a'(a(d)) = d$

Step-by-step explanation:

Given

$a(d) = 5d - 3$

Solving (a): Write as inverse function

$a(d) = 5d - 3$

Represent a(d) as y

$y = 5d - 3$

Swap positions of d and y

$d = 5y - 3$

Make y the subject

$5y = d + 3$

$y = \frac{d}{5} + \frac{3}{5}$

Replace y with a'(d)

$a'(d) = \frac{d}{5} + \frac{3}{5}$

Prove that a(d) and a'(d) are inverse functions

$a'(d) = \frac{d}{5} + \frac{3}{5}$ and $a(d) = 5d - 3$

To do this, we prove that:

$a(a'(d)) = a'(a(d)) = d$

Solving for $a(a'(d))$

$a(a'(d)) = a(\frac{d}{5} + \frac{3}{5})$

Substitute $\frac{d}{5} + \frac{3}{5}$ for d in $a(d) = 5d - 3$

$a(a'(d)) = 5(\frac{d}{5} + \frac{3}{5}) - 3$

$a(a'(d)) = \frac{5d}{5} + \frac{15}{5} - 3$

$a(a'(d)) = d + 3 - 3$

$a(a'(d)) = d$

Solving for: $a'(a(d))$

$a'(a(d)) = a'(5d - 3)$

Substitute 5d - 3 for d in $a'(d) = \frac{d}{5} + \frac{3}{5}$

$a'(a(d)) = \frac{5d - 3}{5} + \frac{3}{5}$

Add fractions

$a'(a(d)) = \frac{5d - 3+3}{5}$

$a'(a(d)) = \frac{5d}{5}$

$a'(a(d)) = d$

Hence:

$a(a'(d)) = a'(a(d)) = d$

7 0

3 years ago

Eva wanted to fill bags with ¾ pounds of trail mix. She started with 11 ⅜ pounds but ate ⅛ pound before she started filling the

Len [333]

She fill 12 bags because if you take 3/4*11 3/8- 1/8=12

3 0

3 years ago

Lake City uses a cone-shaped building to store the salt they spread on their roads during winter. Each storage building has a ra

Evgesh-ka [11]

Answer:

I believe that the answer is A. 76,415.04 cubic feet

Step-by-step explanation:

I used a formula I found online

Hope this helps

5 0

3 years ago

Read 2 more answers

If there are 6 people, and each person has 2 coins, there are __ times as many coins as people.

never [62]

Answer:

Step-by-step explanation:

6x2=12 12/6=2

3 0

3 years ago

Your mom opened a college fund for you when you were born. The fund had an annual interest rate of 2.5%. When you turned 18, the

Scilla [17]

Given:
Interest = 4,275
interest rate = 2.5%
term = 18 years
Principal = ?

Interest = Principal * interest rate * term
4,275 = P * 2.5% * 18
4,275/ (2.5% * 18) = P
4,275 / 0.45 = P
9,500 = P

Your mom deposited 9,500 when you were born.

3 0

3 years ago