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:
Percentage change in interest groups between 1959 (500) & 1995 (600) = 20%
Step-by-step explanation:
Percentage change = <u>Change ie (New - Old) </u> x 100
Old value
Suppose -
Number of interest groups in 1959 = 500
Number of interest groups in 1995 = 600
Percentage change = [ (600 - 500) / 500 ] x 100
( 100 / 500 ) x 100 = 20%
Answer:
D. y = 12.5x + 15
Step-by-step explanation:
Using the values provided in the table, the only equation that would be valid would be the following...
y = 12.5x + 15
That is because if we substitute any value provided in the table for x , this equation will correctly output the y value shown in the table for the attached x-value. For example, in the table 5 nights (x = 5) should have a total cost of 77.5 (y = 77.5)... Therefore, if we substitute 5 for x in the function it should give us 77.5 which it does.
y = 12.5(5) + 15
y = 62.5 + 15
y = 77.5
Answer:
answer is last part 2ln[3].
Step-by-step explanation:
what you all need to do is put y = Ao/3 and then cancel Ao from both L.H.S. and R.H.S. and then take log on both the sides, open the log funciton....
Set the equations equal to each other and solve for the variable x. then use the answer from x and plug it in to the equations and you should get an answer
3x=63
63÷3=x
21=x
x=21
that is the value of x
73 is the answer to the top equation and the bottom equation in the triangle. Meaning the equations are equal to each other when you have 21 plugged in for the variable x.
make sure to put your label if it asks for it. it means the book or the teacher. go by what the teacher says if it is different from what the book says