Answer:
1. 117 sq. in.
2. 168 sq. in.
3. 99 sq. in.
Step-by-step explanation:
1. base x height = area
13 x 9 = 117 sq. in.
2. 1/2 x height x (base + base)
1/2 x 14 x (15 + 9)
1/2 x 14 x 24
Multiply 1/2 by 14 to get 7
7 x 24 = 168 sq in.
3. 1/2 d x d
1/2 x 18 x 11
Multiply 1/2 by 18 to get 9
9 x 11
Multiply 9 x 11 to get 99
9 x 11 = 99 sq. in.
Given:
radius = 18mm
height = 6mm
pi = 3.14
volume of a cone is computed by multiplying pi, radius raised to the 2nd power, and height, which has been divided by 3.
v = πr²h/3
v = 3.14 * (18mm)² x 6mm/3
v = 3.14 * 324mm² x 2mm
v = 2034.72 mm³
volume rounded to the nearest tenth would be 2034.70 mm³
Answer:
A/h-a
Step-by-step explanation:
A=h(a+b)
(a+b)=A/h
a+b=A/h
b=A/h-a
Answer:
25 students peer teacher, 22 students per tutor, 4 tutors for 81 students
Step-by-step explanation:
You need to find the unit rate,
for the teachers, to find the unit rate would be 125 divided by 5. For tutors it would be 88 divided by 4.
Then to find how many tutors you need for 81 students you would need 4 tutors because you want to divide 81 by the unit rate we got (22), and since the answer would be a decimal (3.68.....) you would need to round the whole number up to four because you cant have a decimal of a person.
9514 1404 393
Answer:
f(g(x)) = -3x^2 -2x -3
Step-by-step explanation:
<u>Given</u>:
f(x) = -x-7
g(x) = 3x^2 +2x -4
<u>Find</u>:
f(g(x))
<u>Solution</u>:
Substitute per the function definitions.
f(g(x)) = f(3x^2 +2x -4) = -(3x^2 +2x -4) -7
f(g(x)) = -3x^2 -2x -3
