All categories

3 years ago

A circular dance stage has a perimeter of 28(3.14) feet. What is the area, in square feet, of this dance stage?

1 answer:

4 0

The perimeter (circumference) = 28 * PI.
This means the diameter = 28.
The area = PI*radius^2
area = PI * 14^2
area = PI * 196 
area = 615.7521601036 square feet

You might be interested in

Which expression has a value of 3/4

Anastasy [175]

What are the expressions?

4 0

4 years ago

Between which two consecutive integers is each number located on a number line?

nata0808 [166]

Answer:

$0 < 0.99 < 1$

Step-by-step explanation:

Given

$Number = 0.99$

Required

Determine the interval which it belongs

The given number is less than 1

i.e.

$0.99 < 1$

And it is greater than 0.

$0.99 > 0$

So, the number is located between 0 and 1

i.e.

$0 < 0.99 < 1$

7 0

3 years ago

How can we find the volume of the fish tank

tamaranim1 [39]

Answer:

times the height, width and base

Step-by-step explanation:

6 0

3 years ago

A man is in a boat 2 miles from the nearest point on the coast. He is to go to point Q, located 3 miles down the coast and 1 mil

mafiozo [28]

Answer:

The answer is "0.45385".

Step-by-step explanation:

The time is taken to reach the coast $= \frac{\sqrt{(2^2 + x^2)}}{4}$

The time is taken to reach Q after reaching the coast $= \frac{\sqrt{(1 + (3-x)^2)}}{4}$

Total time, $T= \frac{\sqrt{(1 + (3-x)^2)}}{4}+ \frac{\sqrt{(1 + (3-x)^2)}}{4}$

This has to be minimum,

$\to \frac{dt}{dx} = 0$

$\to \frac{\sqrt{(2^2 + x^2)}}{2} + \frac{\sqrt{1 + (3-x)^2}}{3}\\\\ \frac{x}{4}\sqrt{(4+x^2)} + \frac{(x-3)}{(4\sqrt{(x^2-6x+10)}} = 0\\\\\frac{x^2}{16} \times (4+x^2) = \frac{(x-3)^2}{16 \times (x^2-6x+10)}\\\\x^2(4+x^2) = \frac{(x-3)^2}{(x^2-6x+10)}\\\\4x^2+x^4 = \frac{ x^2+9-6x}{(x^2-6x+10)}\\\\ 4x^2+x^4(x^2-6x+10) = x^2+9-6x\\\\4x^4-24x^3+40x^2+x^6-6x^5+10x^4= x^2+9-6x\\\\x^6-6x^5+ 14x^4-24x^3+39x^2+6x-9=0\\\\$

x=0.45385

6 0

3 years ago

Which function below translate f(x)=x^2 left 5 units and down 1 unit?

Verdich [7]

Your answer will b D

7 0

3 years ago

Read 2 more answers