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3 years ago

A pyramid with a square base has how many faces?

Mathematics

1 answer:

mylen [45]3 years ago

3 0

Answer:

It has 5 Faces. The 4 Side Faces are Triangles. The Base is a Square. It has 5 Vertices (corner points)

Step-by-step explanation:

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T with a remainder of zero. Which of the following statements must be true?

klemol [59]

(x + 3) is a factor so x = -3 must be a root.

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3 years ago

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An athlete knows that when she jogs along her neighborhood greenway, she can complete the route in 10 minutes. It takes 20 minu

IgorLugansk [536]

Answer:

10 miles per hour.

Step-by-step explanation:

Let x represent athlete's walking speed.

We have been given that her jogging rate is 5 mph faster than her walking rate, so athlete's jogging speed would be $x+5$ miles per hour.

$\text{Distance}=\text{Rate}\cdot \text{Time}$

10 minutes = 1/6 hour.

20 minutes = 1/3 hour

While walking, we will get $D_{\text{walking}}=x\frac{\text{miles}}{\text{hour}}\cdot \frac{1}{3}\text{hour}$

$D_{\text{walking}}=\frac{x}{3}$

While jogging, we will get $D_{\text{jogging}}=(x+5)\frac{\text{miles}}{\text{hour}}\cdot \frac{1}{6}\text{hour}$

$D_{\text{jogging}}= \frac{(x+5)}{6}$

Since athlete is covering same distance while walking and jogging, so we can equate both expressions as:

$\frac{x}{3}=\frac{x+5}{6}$

Cross multiply:

$6x=3x+15$

$6x-3x=15$

$3x=15$

$\frac{3x}{3}=\frac{15}{3}\\\\x=5$

Therefore, athlete's walking speed is 5 miles per hour.

Jogging speed: $x+5\Rightarrow 5+5=10$

Therefore, athlete's jogging speed is 10 miles per hour.

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3 years ago

What is the square root of 5x^2 = 300

vesna_86 [32]

So, values of x are: $x=2\sqrt{15},\,\,x=-2\sqrt{15}$

Step-by-step explanation:

We need to find the square root of 5x^2 = 300

Writing in mathematical form:

$5x^2=300$

Divide both sides by 5

$\frac{5x^2}{5}=\frac{300}{5}$

$x^2=60$

Taking square root on both sides

$\sqrt{x^2}=\sqrt{60}$

$x=\pm (\sqrt{2\times 2\times 3\times 5})$

$x=\pm (\sqrt{2^2 \times 3\times 5})$

$x=\pm (2\sqrt{3\times 5})$

$x=\pm (2\sqrt{15})$

$x=2\sqrt{15},\,\,x=-2\sqrt{15}$

So, values of x are: $x=2\sqrt{15},\,\,x=-2\sqrt{15}$

Keywords: Square root

Learn more about square root at:

#learnwithBrainly

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3 years ago

A store manager timed Janette to see how long it would take her to fold and put away a sweater, a shirt, a pair of pants, and a

HACTEHA [7]

To find the average of numbers you have to add all the numbers and divide by the number of numbers. *confusing*

25 + 25.4 + 25.35 + 26.1 = 101.85

101.85 ÷ 4 = 25.4625

♡ Hope this helped! ♡

❀ 0ranges ❀

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Write a calculation and a result that<br> represents a number that is 5 greater than 3.

Phantasy [73]

Answer:

x + 5 > 3

-5 -5

x < -2

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