Answer:
690 sq in
Step-by-step explanation:
SA = LA + 2B where LA is the lateral area and B is the area of the base
The triangular base has an area of
B = 1/2bh 1/2(5)(12) = 30
LA = ph where p is the perimeter of the base and h is the height of the prism
LA = (12 + 5 + 13)(21) = 30(21) = 630
SA = 630 + 2(30) = 630 + 60 = 690 sq in
The greatest common factor is 1 hope this helps you
The formula for volume of a sphere is V = 4
/3 x π x r3 (cubed).
The original radius of the balloon is 10 ft, so when we plug that value into the equation we get 4188.79. When the balloon deflated, the new radius was 5 ft, so the new volume is 523.6. The question asks how much volume was lost, so we need to subtract 4188.79 - 523.6 and get approximately 3665.
Hope this helps! I hate taking usa test prep quizzes too haha.
Answer:
The numbers are 4 and 1
Step-by-step explanation:
Let x and y be the numbers
Quotient is division
x/y = 4
x-y =3
Taking the first equation and multiplying each side by y
x = 4y
Replacing into the second equation
4y -y = 3
3y = 3
Divide by 3
3y/3 = 3/3
y=1
Now we can find x
x -y =3
x-1 =3
Add 1 to each side
x= 4
Work out 9/25 of 100
To do this divide 100 by 25 = 4
Then multiply 4 by the numerator : 9*4 = 36
This means 36 people didn't like the book
So if there's 100 students altogether and 36 didn't like the book,
100-36 = 64
64 people liked the book
