Given the ratio, you know that:
length = 6x
width = 2x
height = 7x
Because the sum of the length and the width is 24 cm, you can write the equation:
6x + 2x = 24
Solve:
8x = 24
x = 3
Plug the 3 back into the expressions written earlier for length, width, and height.
length = 18 cm
width = 6 cm
height = 21 cm
Use the formula SA = 2B + Ph to solve for the surface area.
Surface Area = 2(area of the base) + (perimeter of the base)(height)
I'm going to plug in l, w, and h as variables for length, width, and height to show the exact way to solve for the B and P.
SA = 2lw + 2(l + w)h
SA = 2(18)(6) + 2(18 + 6)(21)
SA = 216 + 2(24)(21)
SA = 216 + 1008
SA = 1224
The surface area is 1,224 cm^2.
F(x)=6x+5
f(x)=6(-1)+5
f(x)=-6+5
f(x)=-1
f(x)=6(0)+5
f(x)=0+5
f(x)=5
f(x)=6(1)+5
f(x)=6+5
f(x)=11
f(x)=6(2)+5
f(x)=12+5
f(x)=17
f(x)=6(3)+5
f(x)=18+5
f(x)=23
Domain: {-1, 5,11,17, 23}
Answer:
D) -4, 0
Step-by-step explanation:
find common difference.
the common difference appears to be +4 as you must add 4 to -12 to get to -8
now we find the missing terms.
the previous term of the first missing term is -8
if the common difference is +4 then the next term would be -8 + 4 = -4
the term after that would be -4 + 4 = 0
the two missing terms are -4 and 0
Swimmers: 50 children ÷ 12 = 4.2 (you can't have a decimal so you must round up)
5 adults are need.
Dancers: 32 children ÷ 15 = 2.1 (you can't have a decimal so you must round up)
3 adults are need.
Minimum number of adults needed is: 5 for swimmers + 3 for dancers = 8 adults
The answer to this equation is: x=5.5