All categories

3 years ago

The circumference of a circle is 11 pi inches.

Mathematics

1 answer:

ser-zykov [4K]3 years ago

8 0

9514 1404 393

Answer:

30.25π square inches

Step-by-step explanation:

You can use the formula for area in terms of circumference:

A = C²/(4π)

A = (11π)²/(4π) = (121/4)π = 30.25π . . . square inches

_____

You may be expected to find the radius first:

C = 2πr ⇒ r = C/(2π) = 11π/(2π) = 5.5 . . . inches

Then use the area formula:

A = πr² = π(5.5 in)² = 30.25π in²

You might be interested in

Dora cut a piece of string that is 33 centimeters long.What is the length of the piece of the string in meters

slega [8]

0.33 meters ..........

3 0

4 years ago

Will mark brainliest ❤️

yanalaym [24]

Answer:

The answer is A

Step-by-step explanation:

Well, there is an actual way of doing it but I forgot how to do it, my calculator got A so yeah, hope that helps

8 0

3 years ago

Read 2 more answers

Camryn puts $400 into a savings account that earns 6% annually. the amount in her account can

mylen [45]

The exponential function that approximates the amount of money in her account using a weekly growth rate is:

$c_w(t) = 400(1.001154)^{\frac{t}{52}}$

<h3 />

What is an exponential function?

An increasing exponential function is modeled by:

$A(t) = A(0)(1 + r)^t$

In which:

A(0) is the initial value.

r is the growth rate, as a decimal

In this problem, the yearly function is:

$c(t) = 400(1.06)^t$

Considering that a year has 52 weeks, we have that:

0.06/52 = 0.001154

Hence:

$c_w(t) = 400(1.001154)^{\frac{t}{52}}$

More can be learned about exponential functions at brainly.com/question/25537936

#SPJ1

7 0

2 years ago

Miguel draws a square on a coordinate plane. One vertex is located at (5,4). The length of each side is 3 units. Circle the lett

Ulleksa [173]

Answer:

A, B, and E.

Step-by-step explanation:

We know that one vertex is at (5, 4), and each side of our square is 3 units long.

Then the distance between the known vertex and another vertex is 3 units (if those vertexes are connected by a side of the square) or (√2)*3 units (if those vertexes are connected by the diagonal of the square).

Also remember that the distance between two points (a, b) and (b, c) is:

distance = √( (a - c)^2 + (b - d)^2)

So we need to find the distance between our point and all the ones given in the options:

A) the distance between (5, 4) and (5, 1) is:

distance = √( (5 - 5)^2 + (4 - 1)^2) = 3

Then point (5, 1) can be a vertex.

B) The distance between (5, 4) and (5, 7) is:

distance = √( (5 - 5)^2 + (4 - 7)^2) = 3

Then (5, 7) can be a vertex.

C) The distance between (5, 4) and (7, 8) is:

distance = √( (5 - 7)^2 + (4 - 8)^2) = √( 2^2 + 4^2) = √20

Point (7, 8) can not be a vertex.

D) The distance between (5, 4) and (2, 6) is:

distance = √( (5 - 2)^2 + (4 - 6)^2) = √( 3^2 + 2^2) = √13

Point (2, 6) can not be a vertex.

E) The distance between (5, 4) and (2, 1) is:

distance = √( (5 - 2)^2 + (4 - 1)^2) = √( 3^2 + 3^2) = √18 = √(2*9) = √2*√9 = √2*3

Then point (2, 1) can be a vertex.

8 0

3 years ago

How do I do this please help??

Brums [2.3K]

Answer:

Slope: 4

Y-intercept: -5

Equation: y=4x-5

Step-by-step explanation:

Slope formula:

$\frac{y2 - y1}{x2 - x1}$

So let's use the ordered pairs (1, -1) and (2,3) from the table (it doesnt matter which ones you choose) and plug the numbers in to the formula:

$\frac{3 - ( - 1)}{2 - 1}$

Which is equal to:

$\frac{4}{1}$

Which is equal to 4. So the slope is 4.

To find the y-intercept, substitute the slope and an ordered pair into the slope-intercept equation, y=mx+b. So let's use (1,-1).

-1=4(1)+b

= -1=4+b

= -1-4=4-4+b

= -5=b

So the y-intercept is -5.

Then for the equation, you just plug in the slope and the y-intercept into y=mx+b, which would be:

y=4x-5

3 0

4 years ago