we know that
When a rectangle with a width of 2.5 feet and a length of 8 feet rotates it makes a cylinder with a radius r = 2.5 ft and a height h = 8 ft

volume of a cylinder=pi*r²*h-----> pi*2.5²*8----> 157 ft³

the answer is
157 ft³

7 0

2 years ago

If f(x)=3x-1 and g(x)=x+5, find (f o g)(x) and (g o f)(x) (f o g)(x)= (g o f)(x)

Nuetrik [128]

Answer:

(f o g)(x)= 3x + 14

(g o f)(x) = 3x + 4

Step-by-step explanation:

(f o g)(x) = f(g(x)) = f(x + 5) = 3(x + 5) - 1 = 3x + 15 - 1 = 3x + 14

(g o f)(x) = g(f(x)) = g(3x - 1) = 3x - 1 + 5 = 3x + 4

3 0

2 years ago

What is the scale factor of the two triangles below?

irina [24]

The correct answer is: [A]: " $\frac{3}{4}$ " .
______________________________________________________

Note: "3/4" = "6/8" = "15/20" .
______________________________________________________

8 0

2 years ago

Needing help, the secretary of the united states department of agriculture asked your teacher, "if a chicken-and-a-half can lay

Flura [38]

we are given that

3 chickens to lay 32 eggs

now, we can find number of eggs per chicken

number of eggs per chicken= (total eggs)/(total chicken)

so, we get

number of eggs per chicken is

$=\frac{32}{3}$

now, we can set up following

1.5 chicken : 1.5 eggs : 1.5 days

3 chickens : 3 eggs : 1.5 days

1 chicken : 1 egg : 1.5 days

Since, changing number of chicken won't affect time

time to lay eggs will always remain same

so,

for 1 chicken to lay $=\frac{32}{3}$ eggs

it takes

$=\frac{32}{3}*1.5 days$

$=16 days$ ..............Answer

8 0

2 years ago