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Eva8 [605]
2 years ago
12

What is the perimeter,in centimeters of triangle QRS?

Mathematics
1 answer:
Oxana [17]2 years ago
6 0

Answer: 60

Step-by-step explanation:

You have to use Pythagorean Theorem because the other side is not listed of the triangle

Pythagorean Theorem: a² + b² = c²

a²  + 20²  = 25²

a²  + 400 = 625

625-400 = a²

a²  = 225

Find the square root of 225 to find the missing length

\sqrt{225} = 15 (this is the missing length for QS

To find the perimeter, add all the sides...

15 + 20 +25 = 60

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mariarad [96]
45 degrees for x.
Do 180-160 = 20 (Since 180 is a straight line)
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7 0
2 years ago
The volume of a cone is 16 pi cubic inches. Its height is 12 inches. What is the radius of the cone? 2 in. 4 in. 12 in. 16 in.
mart [117]

The radius of cone is 2 inches

<em><u>Solution:</u></em>

<em><u>The volume of cone is given by formula:</u></em>

V = \frac{\pi r^2h}{3}

Where,

"V" is the volume of cone

"r" and "h" are the radius and height of cone respectively

Given that, volume of a cone is 16 pi cubic inches

Its height is 12 inches

Therefore, we get,

V = 16 \pi cubic inches

h = 12 inches

r = ?

<em><u>Substituting the values in formula, we get</u></em>

16 \pi = \frac{ \pi \times r^2 \times 12}{3}\\\\16 = 4r^2\\\\r^2 = 4\\\\r = \pm 2

Since, radius cannot be negative, ignore r = -2

Thus radius of cone is 2 inches

8 0
3 years ago
Read 2 more answers
A rectangle and a square have the same area. The length of the rectangle is seventy feet more than two times its width. The leng
Zanzabum

Using the side of the square find the area:

Area = 30^2 = 900 square feet.

The rectangles area is the same, 900 square feet.

Let the width = X

The length would be 2X + 70

Area = length x width

X * 2x+ 70 = 900

This expands to 2x^2 * 70x = 900

Use the quadratic formula to solve for x:

-70 +/- sqrt(70^2-4*2(-900))/2*2

X = 10

Width = x = 10 feet

Length = 2x + 70 = 90 feet

8 0
2 years ago
8 percent of what number is 2
ki77a [65]
2 / 0.08 = 25 

<span>Therefore, 8 percent of 25 is 2.</span>
4 0
3 years ago
Read 2 more answers
two consecutive odd number are such that three times the first is 5 more than twice the second. What are those two odd numbers?
Veseljchak [2.6K]
<h2>Answer:</h2>

The first consecutive odd number is: 9

and the second consecutive odd number is: 11

<h2>Step-by-step explanation:</h2>

Let the two consecutive odd numbers be: a and a+2

( Since, we know that the difference between two consecutive odd or two consecutive even numbers is always 2 )

Now, it is given that:

Three times the first is 5 more than twice the second.

i.e.

3a=5+2(a+2)\\\\i.e.\\\\3a=5+2a+4\\\\3a=5+4+2a\\\\3a=2a+9\\\\3a-2a=9\\\\a=9

Hence, we get:

The first consecutive odd number is: 9

and the  second consecutive odd number is: 9+2=11

7 0
3 years ago
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