Answer:
C. -4/5 x 8/9
the product of a negative number multiplied by a positive number is always negative
7x(√x - 7√7) Multiply √7x to "√x" and "-7√7" respectively:
√7x*√x - 7√7*√7x
First is to simplify: √7x² - 7√7²x
Extract the squares: x√7 - 7*7√x
Then, we simplify: x√7 - 49√x
After simplifying the equation, I got the answer x√7 - 49√x.
Answer:
69.01 m
Step-by-step explanation:
The mnemonic SOH CAH TOA reminds you ...
Tan = Opposite/Adjacent
The tangent function is useful for problems like this. Let the height of the spire be represented by h. The distance (d) across the plaza from the first surveyor satisfies the relation ...
tan(50°) = (h -1.65)/d
Rearranging to solve for d, we have ...
d = (h -1.65)/tan(50°)
The distance across the plaza from the second surveyor satisfies the relation ...
tan(30°) = (101.65 -h)/d
Rearranging this, we have ...
d = (101.65 -h)/tan(30°)
Equating these expressions for d, we can solve for h.
(h -1.65)/tan(50°) = (101.65 -h)/tan(30°)
h(1/tan(50°) +1/tan(30°)) = 101.65/tan(30°) +1.65/tan(50°)
We can divide by the coefficient of h and simplify to get ...
h = (101.65·tan(50°) +1.65·tan(30°))/(tan(30°) +tan(50°))
h ≈ 69.0148 ≈ 69.01 . . . . meters
The tip of the spire is 69.01 m above the plaza.
Answer:
117
Step-by-step explanation:
Subtract from 180 to get interior and exterior angles.
180 - 101 = 79
79 + 38 = 117
180 - 117 = 63
180 - 63 = 117
Perimeter is the total length of all sides. 72 divided by 4 equal sides of a square will give you the value of a. 72 divided by 4 is 18. The value of a is 18 yards.