Answer:
106 ft
Step-by-step explanation:
Assuming the shadow is measured along horizontal ground.
tanθ =opp/adj = building height/shadow length
building height = shadow length(tanθ)
h = 61tan60
h = 105.65509...
20 x 3.2 = 64.0
It is equal to 64 because of you do long multiplication, it is 32 x 20 then add back in the decimal point in between the 4 and 0 for the answer.
So let's take a peek at both's ages, keep in mind, every year, is 1year added to Irene and 1year added to Fred
so... if we look at their ages

notice, Fred is always 40years older than Irene
thus, whatever age Irene is, let's say "i", then Fred is " i + 40 "
now, when is Fred 5 times Irene's age or 5*i or 5i? well,
f = fred's age i = irene's age
f = i + 40
now if f = 5i
5i = i + 40 <--- solve for "i" to see how old Irene was then
Assume that the total overhead variance is x
We are given that the total labor variance is twice the total overhead variance. This means that, the total labor variance is 2x
Total variance can be calculated as follows:
Total variance = Total materials variance + Total overhead variance
+ Total labor variance
We have:
Total variance = $35000
Total materials variance = $14000
Total overhead variance = x
Total labor variance = 2x
Substitute in the equation and solve for x as follows:
35000 = 14000 + x + 2x
35000 - 14000 = 3x
21000 = 3x
x = 21000/3
x = 7000
Based on the above calculations:
Total overhead variance = x = $7000
Total labor variance = 2x = 2*7000 = $14000
Answer:
— 4√16(cos(4π3)+isin(4π3))=2(cos(−π6)+isin(−π6))=√3−i. Explanation: De Moivre's formula tells us that: (cosθ+isinθ)n=cosnθ+isinnθ.
Step-by-step explanation: