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3 years ago

The circumference of a circle is 13π ft. What is the area, in square feet? Express your answer in terms of π.

Mathematics

1 answer:

Ksenya-84 [330]3 years ago

5 0

Answer:

$\frac{169}{4} \pi$ square feet

Step-by-step explanation:

Circumference = 2πr

13π = 2πr

$\frac{13}{2}$ =r

Area = πr²

π × $\frac{13}{2}$ ² =

$\frac{169}{4}$ π square feet

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In the diagram below, x is a whole number. what is the smallest possible value for x?

lesya692 [45]

Answer:

The smallest possible value for x is $9\ units$

Step-by-step explanation:

we know that

The Triangle Inequality Theorem. states that the sum of the lengths of any two sides of a triangle is greater than the length of the third side

$x+x>17\\2x>17\\x>8.5\ units$

The value of x must be greater than $8.5\ units$

If x must be a whole number

therefore

The smallest possible value for x is $9\ units$

3 0

3 years ago

John borrowed $ from bank for 3 years at a rate of 10%

garik1379 [7]

<h3>Given:</h3>

P= $12500
R= 10%
T= 3 years

P= Principal amount
R= Rate of interest
T= Time period

The simple interest
The total amount paid

<h3>Solution:</h3>

$\large\boxed{Formula: I= \frac{PRT}{100}}$

First, we'll have to multiply, principal amount (12500), rate (10) and time period (3).

$12500×10×3$

$=375000$

Now, we'll have to divide the amount (375000) by 100.

$\frac{375000}{100}$

I=$3750

Now, we can find the total amount paid.

$\large\boxed{A=SI+P}$

Let's substitute according to the formula.

$A=3750+12500$

A=$16250

Therefore, simple interest is $3750 and $16250 was paid in total.

5 0

1 year ago

olchik [2.2K]

You can do it just believe in your self

7 0

3 years ago

Solve for each of the following proportions: a. 5/x=30/42 b. x/8=-12/32

andreev551 [17]

Answer:

A. x = 7

B. x = -3

Step-by-step explanation:

A. 5/x = 30/42

5/x = 5/7

5 = 5/7 x

5= 5x/7

5 x 7 = 5x

35 = 5x

35/5 = x

7 = x

x = 7

B. x/8 = -12/32

x/8 = -3/8

x = - 3/8 x 8

x = - 24/8

x = -3

Hope this helps you have a gr8 day :3

5 0

3 years ago

Which equation has the solutions x = 1 plus-or-minus StartRoot 5 EndRoot?

Sophie [7]

Answer:

The quadratic equation is x^2-2x-4

Step-by-step explanation:

We want to know the equation that has the solution below;

x = 1 ± √5

This means x = 1 + √5 or 1 - √5

The equation would thus be;

(x-1-√5)(x-1+ √5)

= x(x-1+ √5)-1(x-1+ √5)-√5(x-1+ √5)

Opening the brackets we have ;

x^2-x+ √5x-x + 1 -√5-√5x+ √5-5

collecting like terms we have;

x^2-2x+1-5

= x^2-2x-4

6 0

3 years ago