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2 years ago

If you are driving at a rate of 55 miles per hour, about how many feet per second are you traveling?

1 answer:

3 0

$55\ \frac{miles}{hour}\\\\
1\ mile\ =\ 5280\ feet\\
1\ hour=\ 3600\ second\\\\
55*\frac{5280}{3600}=80,7\frac{feet}{second}$

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What is the surface area of a square prism with sides that measure 8 units?

V125BC [204]

Answer:

The surface area of square prism = 384 units squared

Step-by-step explanation:

Explanation:-

Given the square prism side 'a' = 8 units

The surface area of square prism = 2 a² + 4 a h

Given square prism length , width and height also equal identical sides

The surface area of square prism = 2 a² + 4 a h

= 2(8)² + 4 (8)(8)

= 2(64) + 4(64)

= 384 units squared

Final answer:-

The surface area of square prism = 384 units squared

5 0

2 years ago

What is the height, x, of the equilateral triangle?

e-lub [12.9K]

Using the Pythagorean Theorem, the height of the equilateral triangle is given by:

A. $h = 7\sqrt{3}$ inches.

<h3>What is the Pythagorean Theorem?</h3>

The Pythagorean Theorem relates the length of the legs $l_1$ and $l_2$ of a right triangle with the length of the hypotenuse h, according to the following equation:

$h^2 = l_1^2 + l_2^2$

For this problem, we have that:

The height is one side of the triangle.

The other side is half the length, of 7 in.

The hypotenuse is the length, of 14 in.

Hence the height is found as follows:

$h^2 + 7^2 = 14^2$

$h = \sqrt{147}$

$h = \sqrt{49 \times 3}$

$h = 7\sqrt{3}$ inches.

More can be learned about the Pythagorean Theorem at brainly.com/question/654982

#SPJ1

7 0

1 year ago

Find the solutions to x2 = 20.

Gemiola [76]

Answer:

Step-by-step explanation:

$x^2=20; \ => \ \left[\begin{array}{ccc}x=\sqrt{20} \\x=-\sqrt{20} \end{array} \ => \ \left[\begin{array}{ccc}x=2\sqrt{5} \\x=-2 \sqrt{5} \end{array}$