First we find the volume of the triangular prism.
We find the area of the triangle, then we multiply that by the height.
So 7*6/2= 42/2=21
21*10= 210
Then if all the dimensions add another foot on to them then you get: 7, 8, and 11.
Then you do the same thing to find the area of this rectangular prism.
7*8/2=56/2=28
28*11= 308
Now, we calculate the growth from 210 to 308 in this proportion: 308/210=x/100
Solving it we get (cross multiplying):
210x=30800
x=146 2/3 or 146.66 percent increase.
I hope this helps!
Answer:
A is correct
Step-by-step explanation:
The length of an arc is given by (θ/360)2πr, where θ is the angle subtended by the arc at the center and r is the radius.
The angle θ in this case is 270°, while the radius is 7 feet, diameter is 14 feet
Thus the length of the of the cable will be;
=(270/360)× 22/7×14
= 0.75 × 44
= 33 feet
Answer: 0.9927
Step-by-step explanation:
We assume that the number of earthquakes that occur in Los Angeles follows normal distribution.
As per given , we have
Sample size : n= 35
Let 
be the sample mean.
Now ,
Hence, the probability that the mean of the sample is between 34 and 37.5. is 0.9927 .
<span>A quarter of the marbles are red, so there are 124/4 = 31 red marbles. The rest are blue, so there are 124 - 31 = 93 blue marbles.</span>
