Using the law of cosine:
Cosine(angle) = Adjacent leg / Hypotenuse
You are given the angle, and the adjacent leg and need to solve for X, which is the hypotenuse.
Using the formula above you have:
Cosine(58) = 17 / x
Solve for x by dividing 17 by cos(58)
x = 17 / cos(58)
x = 32.08
Answer:
h = 19.7 ft.
Step-by-step explanation:
Use the Pythagoras Theorem

Now we take square root on both sides,

so the value of h equals 19.7 ft.
Answer:
Height= 4.5 Volume= 91.125
Step-by-step explanation:
Answer:
B.) 18
Step-by-step explanation:
To find the correct b value we use this formula
b² - 4ac = 0
b = What we are solving for
a = 1
c = 81
b² - 4(1)(81) = 0
b² - 324 = 0
b² = 324

b = ±18
And 18 is one of the answer choices
So B.) 18 is the correct answer.
Answer:
Perimeter = 34ft Area = 72ft squared
Step-by-step explanation:
The perimeter of an object is all of it's sides combined. Because you stated two values, I assumed your shape is a rectangle. So the perimeter would be:
8 + 8 + 9 + 9 = 34
The area is length times width, so:
8 x 9 = 72
Because it is area, the units are squared.