Cosα=x/L
L=x/cosα, we are told that the ladder base is 48 ft from the base of the wall and α=39° so:
L=48/cos39 ft
L≈61.76 ft (to nearest hundredth of a foot)
The equation for the perimeter of a rectangle:
P = 2L + 2W
We’re given P and L and asked to find W:
15x + 17y = 2(7/2x + 7y) + 2W
15x + 17y = 7x + 14y + 2W
2W = 8x + 3y
W = 4x + 3/2y
Answer is A.
Answer:
19 bears, 38 boxes of candy.
Step-by-step explanation:
We can use a system of equations (b = # of bears, c = # of candy boxes):
<em>b + c = 57, 8b + 6c = 380</em>.
We can use substitution by isolating b in the first eq.: <em>b = 57 - c</em>, then substitution b with 57 - c in the second eq.: <em>8(57 - c) + 6c = 380</em>.
Then, we solve: 456 - 8c + 6c = 380, 76 = 2c, c = 38 candy boxes.
Finally we plug in 38 for c in the first eq.: b + 38 = 57, b = 19 bears.
The answer is 14.
a number divided by 1/2 will equal that number times 2
7*2 = 14
Answer:
n = m - a
Step-by-step explanation:
Given:
a = m − n
Where,
Actual cost of the item = a
Original price of the item = m
Amount of Coupon = n
Solve the formula for the amount of the coupon
Making n the subject
a = m − n
Subtract m from both sides
a - m = m - n - m
a - m = - n
Divide both sides by -1
(a - m) / -1 = -n / -1
- a + m = n
Can also be written as
n = m - a
