If x = 5, calculate the value of: x3 + x2

1 answer:

4 0

If x=5, you need to plug in the value of x into the equation.
So: assuming that it's x^3 +x^2= 5^3+5^2
(5)*(5)*(5)= 125
(5)*(5)=25
125+25=150
So x^3+x^2, if x=5, is equal 150

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The circumference of a circle is 15π ft. What is the area, in square feet? Express your answer in terms of π.

DerKrebs [107]

Answer:

Area of the circle is 56.25π square feet.

Step-by-step explanation:

Given that:

The circumference of a circle is 15π ft.

To Find:

What is the area, in square feet?

We know that:

Circumference of a circle = 2πR
Area of a circle = πR²

Where,

Radius is denoted as R.

Finding the radius of the circle:

Circumference of a circle = 15π

⟶ 2πR = 15π

⟶ 2πR = 2π × 7.5

Cancelling 2π.

⟶ R = 7.5

∴ Radius of the circle = 7.5 ft.

Finding the area of the circle:

⟶ Area = πR²

⟶ Area = π(7.5)²

⟶ Area = π × 7.5 × 7.5

⟶ Area = π × 56.25

⟶ Area = 56.25π

∴ Area of the circle = 56.25π ft.²

7 0

3 years ago

Please help me, I don’t know how to solve for x on this one

Brums [2.3K]

Use trigonometry to solve for x.

The tangent function is defined to be opposite side divided by the adjacent side.

tan(78) = x/10

tan(78)(10) = x

47.0463010948 = x

We now round off to two decimal places. In other words, we round off to the nearest tenths.

47.05 = x

Done!

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2 years ago

A criminal has escaped in a train wreck. The police believe he could have traveled no more than 7 mi in any direction from the w

adelina 88 [10]

Answer:

A = 153.94 sq mi

Step-by-step explanation:

In this scenario, we would be starting from the center point and searching the area of a square since the distance in every direction would the same 7 mi. This 7-mile distance would be our radius in this scenario. We now need to use the formula for the Area of a circle to calculate the search area. This formula is the following

A = $\pi r^{2}$