Answer:
Step-by-step explanation:
<u>Ratios and Proportions
</u>
The ratio between two numbers x and y is defined as x/y. It measures how many times y is contained in x. For example 12/8 = 1.5 means 12 is 1.5 times 8.
We have two key sets of data: the ratio between the surface areas of the cylinders and the fact that the radius and heights of the cylinders come in the same proportion.
First, we can easily compute the ratio of the surface areas
It gives us the relation
Computing the square root
Computing the cube
Answer:
x = 12 is the excluded value
Step-by-step explanation:
An excluded value is the value/s of x that make the denominator of the rational function equal to zero as this would make the function undefined.
Equate the denominator to zero and solve for x
6x - 72 = 0 ⇒ 6x = 72 ⇒ x = 12 ← excluded value
Answer:
x = 50, y = 140
Step-by-step explanation:
The angles x, 40 and 90 lie on a straight line and sum to 180° , that is
x + 40 + 90 = 180
x + 130 = 180 ( subtract 130 from both sides )
x = 50
The angle vertically opposite x is congruent to x , that is 50°
y = 90 + 50 = 140
R=red
blue=b
g=green
r+g+b=33
r=4g
b=g/2
we must convert to a common unit which could be the smallest unit so we must convert to blue
b=g/2 or g=2b
r=4g
r=4(2b)
r=8b
r=8b
g=2b
b=b
r+g+b=33=8b+2b+b=11b
11b=33
divide both sides by 11
b=3
g=2b
g=2(3)
g=6
r=8b
r=8(3)
r=24
r=24
g=6
b=3