First, you need to get the denominators (the bottom number) the same. The smallest number to get them to is 15.
So, what you need to do is take 2/5 and multiply the bottom by 3 to get 15, and since you did it to the bottom, you need to do it to the top too. So you would get, 6/15.
Then, for 1/3, take the bottom number and multiply it by 5. Then, since you did it to the bottom, do it to the top as well. You would get 5/15.
Then, you need to put them side by side. You don't add the bottom, so your denominator would remain 15, but your numerator (top) would get added.
<u> 6</u> + <u>5</u> = <u>11</u>
15 15 15
Answer:
10.26 in²
Step-by-step explanation:
The area (A) of the sector is
A = area of circle × fraction of circle
= πr² × 
= π × 2.8² × 
≈ 10.26 in²
167,000
Step-by-step explanation:
47000 plus 3000 mutipled by 40 gives you your answer
we are given a function
First translation:
The graph of function is vertically stretched by a factor of 7
Whenever we vertically stretch any function by 'a' units
so, we can write it as
Here, it is vertically stretch by 7
so, we get
Second translation:
Whenever we reflect any function about x-axis
we multiply y-value by -1
so, we can write it as
Here , it is reflected in the x-axis
so, we can multiply by -1 to y-value
we get
.............Answer
The formula for the volume of a quarter-sphere is simply one-fourth of the volume of the sphere. So the volume of a quarter-sphere:
V = (1/4) (4/3) (π r³)
or
V = (1/3) (π r³)
Since we are given with the radius of 70 feet, the volume is
V = (1/3) (π) (70³)
V = 359,189 cubic feet
