2 Which graph shows a proportional relationship? a b c d

Mathematics

1 answer:

Harrizon [31]2 years ago

6 0

Answer:

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A city police force is made up of 24% females. If there are 72 females on the force, how many males are on the force?

erastovalidia [21]

Answer:

228 males

Step-by-step explanation:

Let x be the number of males.

This means x + 72 is the total number of people.

So $\frac{72}{x+72}$ is the fraction of females in the force.

Thus, we can form the equation:

$\frac{72}{x+72} = 0.24$

$x+72 = \frac{72}{0.24}$

$x = \frac{72}{0.24} -72$

$x = 228$

Thus, the answer is 228 males.

6 0

3 years ago

Find the island height of a pyramid with a volume of 432 ft^3 if the base is a square with a side length of 12 ft. Round to the

dmitriy555 [2]

So the picture below shows what the slant height is. It also shows that the pyramid can form a right triangle, in which we can use the pythagorean theorem, which is $leg^2+leg^2=hypotenuse^2$ .

But first, we have to find the height of this pyramid. The volume formula for a square pyramid is $A=\frac{lwh}{3}$ . Since we know its a square pyramid, the length and width are going to be the same (12 ft), and we know that the volume is 432 ft^3. Using this info, we can solve for the height:

$432=\frac{12*12*h}{3}\\ 1296=12*12*h\\ 1296=144*h\\ 9=h$

So now we can use the pythagorean theorem (remember to split the 12 by 2, since the right triangle has only half the length of the base). Our equation will be solved as such:

$6^2+9^2=s^2\\ 36+81=s^2\\ 117=s^2\\ 10.8=s$