The formula for the surface area of a cube is S 5 6x2

1 answer:

3 0

If the length of a side is x, then the surface area of a face of the cube is x squared. there are six sides in a cube so 6(x^2) would be the surface area.
6(x^2)=150
(x^2)=25
x=5

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What is the distance between points M and N?

Free_Kalibri [48]

By using <em>triangle</em> properties and the law of the cosine twice, we find that the distance between points M and N is approximately 9.8 meters.

<h3>How to determine the distance between two points</h3>

In this problem we must determine the distance between two points that are part of a triangle and we can take advantage of properties of triangles to find it. First, we determine the measure of angle L by the law of the cosine:

$\cos L = \frac{(19.6\,m)^{2}-(14.8\,m)^{2}-(21.4\,m)^{2}}{-2\cdot (14.8\,m)\cdot (21.4\,m)}$

L ≈ 62.464°

Then, we get the distance between points M and N by the law of the cosine once again:

$MN = \sqrt{(7.4\,m)^{2}+(10.7\,m)^{2}-2\cdot (7.4\,m)\cdot (10.7\,m)\cdot \cos 62.464^{\circ}}$

MN ≈ 9.8 m

By using <em>triangle</em> properties and the law of the cosine twice, we find that the distance between points M and N is approximately 9.8 meters.

To learn more on triangles: brainly.com/question/2773823

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6 0

2 years ago

Mrs Omar runs the school tennis club. She has a bin of tennis balls and rackets for every 5 tennis balls in the bin there are 5

Sav [38]

Answer:

x=y

Step-by-step explanation:

let x be the number of tennis balls and y the number of rackets.

-We divide the number of balls by the number of rackets to find out their ratio of proportionality:

$\frac{x}{y}=\frac{5}{5}=\frac{1}{1}=1$