Answer:
I think E
Step-by-step explanation:
You know the shortest building is 25 m.
to find the rest, use trigo so Tan(20)=opposite/adjacent.
Adjacent is 50. Do the math and add the answer with 25.
21 fence posts. i dont know how to draw a picture on this site, but you covert 16in to ft and then divide 32 by 1.5
Answer:
D) y = -1/2x + 4
Step-by-step explanation:
Points on the graph: (0, 4) and (8, 0)
Slope:
m=(y2-y1)/(x2-x1)
m=(0 - 4)/(8-0)
m= -4/8
m = -1/2
Slope-intercept:
y - y1 = m(x - x1)
y - 4 = -1/2(x - 0)
y - 4 = -1/2x
y = -1/2x + 4
Answer:
B. 80
Step-by-step explanation:
3 consecutive integers: x-1 , x , x+1
(x-1) + x + (x+1) = -27
3x = -27
x = -9
smallest: -9-1 : -10
largest: -9+1 : -8
product of the smallest and largest of the three integers: (-10)*(-8)=80
Answer:
V = 128π/3 vu
Step-by-step explanation:
we have that: f(x)₁ = √(4 - x²); f(x)₂ = -√(4 - x²)
knowing that the volume of a solid is V=πR²h, where R² (f(x)₁-f(x)₂) and h=dx, then
dV=π(√(4 - x²)+√(4 - x²))²dx; =π(2√(4 - x²))²dx ⇒
dV= 4π(4-x²)dx , Integrating in both sides
∫dv=4π∫(4-x²)dx , we take ∫(4-x²)dx and we solve
4∫dx-∫x²dx = 4x-(x³/3) evaluated -2≤x≤2 or too 2 (0≤x≤2) , also
∫dv=8π∫(4-x²)dx evaluated 0≤x≤2
V=8π(4x-(x³/3)) = 8π(4.2-(2³/3)) = 8π(8-(8/3)) =(8π/3)(24-8) ⇒
V = 128π/3 vu
