Answer:
B. 10
Step-by-step explanation:
First, we need to recognize that the two triangles are similar (the triangle with a leg value of 21 and the triangle with a leg value of 4 and hypotenuse x)
Let's first label the leg of the second triangle as y.
Then, we can set up this equation

Cross multiplying gives us
84=y^2
So, y=sqrt(84) or 2 sqrt(21).
Now, using the pythagorean theorem, we get
4^2+2sqrt(21)^2=x^2
100=x^2
x=10
Lets use a rectangle as the example because I dont know what kind of shape you're looking for.
Area of a rectangle = length * width
Length (l) = 62
Width (w) = x
Area = 744
744 = 62 * x
Divide both sides by 62
744/62 = 12
12 = x
That means the width would equal 12
12 * 62 = 744
Answer:

If you compare this to
, then
and
.
Step-by-step explanation:
We are given
and we are asked to find the value of
.
So we will need to find
.

Square both sides:

Expand using identity:
.



Let's go back to the full
.




If you compare this to
, then
and
.
Answer:
Amount of butter need for 1 cup of oil = 2 cup of butter
Step-by-step explanation:
Given:
Amount of butter need for 1/2 cup of oil = 1 cup
Find:
Amount of butter need for 1 cup of oil
Computation:
Amount of butter need for 1/2 cup of oil = 1 cup
1 cup butter = 1/2 cup oil
So,
Amount of butter need for 1 cup of oil = 1 / [1/2]
Amount of butter need for 1 cup of oil = 1 / [0.5]
Amount of butter need for 1 cup of oil = 2 cup of butter