Answer:
Step-by-step explanation:
Let 
be the volumes of the smaller and bigger cylinder.
The formula for the volume of a cylinder is given by :
As the two triangles are similar, the cube of their ratio would equal the ratio of their volume i.e.
So, the volume of the smaller cylinder is equal to 
.
Answer:
60
Step-by-step explanation:
Substitute 50 for y in the formula
5x+10y=800
5x+10*50=800
5x+500=800
5x=800-500
5x=300
x=300/5
x=60
There are several ways you can solve this problem if you're trying to solve for m and n. You can substitute, or systems of equations. However, I'm going to use substitution:
2m + n = 0 => n = -2m
We can input that in for the other equation:
m + 2n = 3 now becomes: m + 2(-2m) = 3
Now we can solve:
m + 2(−2m) = 3
m + −4m = 3
(m + −4m) = 3 (Combine Like Terms)
−3m=3
m = -1
Now we can input that value in to solve for n:
We said that n = -2m, and m = -1, so n = -2(-1):Answer:
n = 2
Your final answer is m = -1, and n = 2, which can also be written as (m,n) = (-1,2)
----------------------
However, if you were solving for m+n:
You would add the two equations!:
2m + n = 0
m + 2n = 3
----------
3m + 3n = 3
Now, you can take 3 common:
3(m+n) = 3
m + n = 1
Your final answer for what m + n equals 1!
The answer is: False.
If a logarithm is written without a base <span>it IS NOT a natural logarithm.</span>
The explanation is shown below:
1. I<span>f a logarithm is written without a base, you must assume the base is 10. It is written as below:
log(x)
</span>
2. It is important to know that the base <span>a natural logarithm is the irrational number e. It is written as below:
ln(x)</span>
Answer:
a=42°
b=138°
Step-by-step explanation:
the sum of angles on a triangle is 180°
so
18+120+a=180
138+a=180
a=180-138
a=42
a+b=180 because a ans b are linear pair of angles.
Definiton:A linear pair of angles is formed when two lines intersect. Two angles are said to be linear if they are adjacent angles formed by two intersecting lines. The measure of a straight angle is 180 degrees, so a linear pair of angles must add up to 180 degrees.
a=42 from before
it means that b=180-42=138
