the factors of 8 are as follow:
1,2,4,8
3 types breakfast
2 types drink
3*2 = 6 breakfast drink combos
where the eggs and juice is 1 of those 6
probability is 1/6
Two angles are equals.
Suppose they are 6y.
Then 6y + 6y + 8y - 16 = 180
20y = 180 +16
20y = 196
y = 9.8
Then one base angle is 6*9.8 = 58.8°
And the other base angle is 8(9.8) - 16 = 62.4.
Now suppose that the two equal angles are 8 y -16
Then 8y -1 6 + 8y - 16 + 6y = 180
Then 16y - 32 = 180
16y = 180 + 32
16y = 212
y = 13.25
One angle is 6(13.25) = 79.5
And the other is 8(13.25) - 16 = 90
This last solution is imposible.
So the answer is 58.8 and 62.4
Answer:
b
Step-by-step explanation:
The first thing we should do is write the functions.
For the area we have:
A = w * h = 20000 feet ^ 2
The price is:
Cost = (4 * 2 * h + 2 * 2 * w)
Substitute for h ::
C (w) = (4 * 2 * (20,000 / w) + 2 * 2w)
Rewrite we have:
C (w) = 160,000 / w + 4w
Take the derivative:
C '(w) = 160000 (-1 / w ^ 2) + 4
We equal zero and clear w:
0 = 160000 (-1 / w ^ 2) + 4
160000 / w ^ 2 = 4
w ^ 2 = 40000
w = 200 (approximately)
width = 200 ft; so cost is 2 * ($ 4) 200 = $ 1600
height = 20000/200 = 100 ft; so cost is 2 ($ 2) 100 = $ 400
Total cost = $ 2000
Answer:
The cost of the least expensive fence is:
Total cost = $ 2000