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IceJOKER [234]
3 years ago
14

If y = 7.2 when x = 10, what is the value of x when y = 20? (y varies inversely as the square of x.) A. 14.4 B. 10 C. 6 D. 20

Mathematics
1 answer:
Irina-Kira [14]3 years ago
5 0

Answer:

6

Step-by-step explanation:

Y is directly proportional to 1/x2

Y = k/x2

Where k is the proportionality constant

y1*(x1)2 = y2*(x2)2

7.2*(10)2 = 20*(x2)2

x2 = sqrt(36)

X = 6

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if the slopes of two lines are opposite reciprocals of each other, then what can be said about the lines?​
rewona [7]

Answer:

"Theorem 106: If the slopes of two lines are opposite reciprocals of one another, or the product of their slopes is −1, then the lines are nonvertical perpendicular lines." - www.cliffsnotes.com

4 0
3 years ago
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In the contiguous United States, the ratio of states that border an ocean to states that do not border an ocean is 7:9. How many
Luda [366]

Answer:

21

Step-by-step explanation:

The contiguous U.S. consist of all states beside Alaska and Hawaii; therefore, there are 48 contiguous U.S. states. However, the ratio given to us only consists of 16 states [7 + 9 = 16]. If we need to expand the ratio, we multiply 16 by 3 to get 48. Thus, we also multiply each of the terms by 3, and the ratio becomes 21:27. Therefore, the number of contiguous U.S. states that border an ocean is 21.

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3 years ago
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10) Find four consecutive even integers whose sum is 100. What is the equation used?​
mihalych1998 [28]

Answer:22

Step-by-step explanation:

Let x be the smallest even integer.

Thus, our next numbers are x+2, x+4, and x+6.

Summing them up, we get 4x+12=100. Hence, x=22.

3 0
3 years ago
What is an easier way to solve algebraic expressions?
Alecsey [184]
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3 0
3 years ago
The area of a circle is 43.25cm2.<br> Find the length of the radius rounded to 2 DP.
Monica [59]

Answer:

3.71 cm

Step-by-step explanation:

Hi there!

Area of a circle equation: A=\pi r^2 where r is the radius

Plug in the area 43.25 cm²

43.25=\pi r^2

Divide both sides by π to isolate r²

\frac{43.25}{\pi} =\frac{\pi r^2}{\pi} \\\frac{43.25}{\pi}=r^2

Take the square root of both sides to isolate r

\sqrt{\frac{43.25}{\pi}} =r\\3.71=r

Therefore, the length of the radius rounded to 2 decimal points is 3.71 cm.

I hope this helps!

8 0
3 years ago
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