The correct answer is
the flagpole is <span>
33 feet high</span>.
Explanation:
Please refer to the attached picture.
We know:
CD = 40 feet
AC = 5 feet
∠BDC = α = 35°
Using trigonometry, we know that the definition of the tangent of an angle is the ratio between the opposite side and the adjacent side, therefore:
tan α = BC / CD
Solving for BC:
BC = CD · <span>tan α
= 40 </span>· tan (35)
= 28 feet
In order to find the height of the flagpole, we need to add the distance of the clinometer from the ground:
AB = BC + AC
= 28 + 5
= 33
Hence, the flagpole is
33 feet high.
Answer: Use employee identification numbers to randomly select 200 employees
Step-by-step explanation:
Random sampling refers to a sampling technique whereby each sample has an equal chance of being selected. It is an unbiased representation of the entire population and this is vital in drawing conclusion.
From the options given, the best way to randomly choose these 200 employees will be to use employee identification numbers to randomly select 200 employees.
20x^2y - 4xy
First, we look at what terms are common between each term.
There is a 4 present in the last term, and 4 is a factor of 20, so that is one factor.
Each term also includes at least one x, and one y, so x and y are also factors.
We can factor a 4, an x, and a y out of this.
<h3><u>4xy(5x - 1) is the fully factored form of this binomial. </u></h3>
Answer:
$376,475.71
Step-by-step explanation:
FVA Due = P * [(1 + r)n – 1] * (1 + r) / r
FVA Due = 250 * [(1.2916)264 – 1] * (1.2916) / .2916
Answer:
180,000
Step-by-step explanation:
You got to multiply all the numbers and then divide by 600 and then you het your anwser