You have to use the geometric mean of right triangles here. Your ratio is set up like this:
. That gives you
and that
. To find z in the second part, use the Pythagorean Theorem.
and z = 6. In the third part, the student should have had the length of the hypotenuse as the denominator in the second ratio, which is 8. So your answer there is the second one down. In order to do that last one you need to find the hypotenuse in the triangle that has legs of 4 and 10. Using Pythagorean's theorem we find that that length is
. Now set up your geometric mean:
. Cross multiply to get 4x + 16 = 116 and that 4x = 100. Solve for x to get x = 25
Answer:
D = 100 - 2p
Where p is the price in dollars of the product and D is the number of products that can be sold at that price
And we need to interpret the slope of this function mean in the context of the problem. And for this case the slope is m=-2 and it means that for every increase in the price in 1 $ we will have a decrease the number of products in two units
Step-by-step explanation:
For this problem we know the following function given:
D = 100 - 2p
Where p is the price in dollars of the product and D is the number of products that can be sold at that price
And we need to interpret the slope of this function mean in the context of the problem. And for this case the slope is m=-2 and it means that for every increase in the price in 1 $ we will have a decrease the number of products in two units
Anything that is behind the decimal point ends with a "ths" or "th"
The '2' is in the "hundreds"
The '0' is in the "tens"
The '4' is in the "ones"
.
The '7' is in the "tenths"
the ' 5' is the "hundredths"
So, therefore the value of '2' is in the "hundreds"
