Answer:
you can use the quadratic formula to get theses:-
x =[-8 +/- sqrt(8^2 - 4*2*-3)] / 4
= -2 +/- sqrt88) / 4
= 0.35, -4.35 to nearest hundredth
Step-by-step explanation:
Answer:
It will take 10 months to build the same number of houses.
Recall that
sin²(<em>θ</em>) + cos²(<em>θ</em>) = 1
for all <em>θ</em>, and given that cos(<em>θ</em>) < 0, we find that
cos(<em>θ</em>) = -√(1 - sin²(<em>θ</em>)) = -√(1 - (2/5)²) = -√(21)/5
Now,
csc(<em>θ</em>) = 1/sin(<em>θ</em>) = 1/(2/5) = 5/2
and
cot(<em>θ</em>) = cos(<em>θ</em>)/sin(<em>θ</em>) = (-√(21)/5)/(2/5) = -√(21)/2
Answer:
9 inches
Step-by-step explanation:
The formula for the volume of a rectangular pyramid is 
- Here we have volume (V), base (L), and width (W)
- V = 360 in³, L = 12 in, W = 10 in
We need to manipulate the volume equation to solve for the height (H)
- First we need to multiply both sides by 3 to get rid of the fraction: 3V = L×W×H
- Then we need to divide both sides by (L×W) to get:
Now we can plug in the given values:
- The height is 9 inches
Each year 1 - 5% = 95% of the acreage survives.
A(10) = 4500*0.95^10 = 2694.32
Answer: 2694.32
