Answer:
n = 5
Step-by-step explanation:
Since this is a right triangle, we can use trig
tan theta = opp /adj
tan 30 = n / 5 sqrt(3)
5 sqrt(3) tan 30 = n
5 sqrt(3) * 1/ sqrt(3) = n
5 = n
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
Answer:
16.5 hours
Step-by-step explanation:
The bicycle costs $240. Eva already has $42. She is making $12 per hour.
240 = 12x + 42
Solve for x to find out how many hours Eva needs to work to buy the bicycle.
240 = 12x + 42
240 - 42 = (12x + 42) - 42
198 = 12x
198/12 = (12x)/12
16.5 = x
Eva needs to work 16.5 hours to be able to buy the bikw.
Answer:
y - 4 = 0
Step-by-step explanation:
They give you the y coordinate, 4, and the x coordinate as 0.
Put 4 in as y.
4 - 4 = 0. That means x = 0 and that is right.
To make sure it has a slope of zero, subtract 4 on both sides.
You get : y = 4. This means that the line will be straight and it will have a slope of zero.
