Answer:
h = -7
Step-by-step explanation:
Given:
-49 = 7h
Divde both sides by 7:
-7 = h
Check:
-49 = 7h
-49 = 7(-7)
-49 = -49 ✅
Answer:
length = 78 feet
width = 36 feet
Step-by-step explanation:
Using one variable and an expression, you can set up an equation equal to the perimeter to find the measure of each side:
width = 'w'
length = '42ft longer than it was wide' = w + 42
The general formula for the perimeter of a rectangle:
P = 2w + 2l
Plugging in the given values and variables:
228 = 2w + 2(w + 42)
Distribute: 228 = 2w + 2w + 84
Combine like terms: 144 = 4w
Divide and solve: 36 = w
w = 36 ft
l = 36 + 42 = 78 ft
Step-by-step explanation:
Use SOH-CAH-TOA.
Sine = Opposite / Hypotenuse
Cosine = Adjacent / Hypotenuse
Tangent = Opposite / Adjacent
You're given an angle, the adjacent side to that angle, and the hypotenuse. So use cosine.
Cosine = Adjacent / Hypotenuse
cos 37° = 48 / x
Multiply both sides by x.
x cos 37° = 48
Divide both sides by cos 37°.
x = 48 / cos 37°
If desired, use a calculator to evaluate.
x ≈ 60.1
Answer:
? = 4.28
Step-by-step explanation:
We know that tan theta = opp side / adjacent side
tan 35 = 3 / ?
Multiply each side by ?
? tan 35 = 3
Divide each side by tan 35
? = 3/tan 35
?= 4.28444402
To the nearest hundredth
? = 4.28
