Answer: Length of his shadow is 18 feet.
Step-by-step explanation:
Since we have given that
Length of tall monument = 64 foot
Length of shadow = 16 feet
Length of pole where Kyle is standing = 6 feet 3 inch = 72 inches
So, we need to find the length of its shadow.
So, according to question, we get that

Hence, length of his shadow is 18 feet.
Answer:
Option b
or 
Step-by-step explanation:
The absolute value is a function that transforms any value x into a positive number.
Therefore, for the function
x> 0 for all real numbers.
Then the equation:
has two cases
if
(i)
if
(ii)
We solve the case (i)

We solve the case (ii)

Then the solution is:
or 
Answer:
x = 17
Step-by-step explanation:
The sum of all angle measures in any triangle is 180 degrees.
- Thus, 23 + 5x - 18 + 90 = 180.
Step 1: Simplify both sides of the equation.
Step 2: Subtract 95 from both sides.
Step 3: Divide both sides by 5.
Step 4: Check if solution is correct.
Thus, x = 17.
Answer:
D.
Step-by-step explanation:
The area is the product of 2 adjacent sides:
Area = (5x - 3y)(5x - 3y) as the sides of a square are all equal.
= 5x(5x - 3y) - 3y(5x - 3y)
= 25x^2 - 15xy - 15xy + 9y^2
= 25x^2 - 30xy + 9y^2.
The answer is -13.
Solution:
= |-4b - 8| + |-1 - b^2| + 2b^3
= |-4(-2) - 8| + |-1 - -2^2| + 2(-2)^3
= |8-8| + |-1+4| + 2(-8)
= |0| + |3| + (-16)
= -13