You start with 24, there are 8 added, there are 12 taken away, then 9 are taken away. The equation looks like:
24 + 8 - 12 - 9 = <u>11</u>
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:
y= 500+7x
Step-by-step explanation:
Given data
Total amount for the rent= $500
Cost of food per night= $10
Family charges per night=$60
Let the number of nights be x
and let the total charges be y
Hence, the expression for the situation is given as
y=500+10x+60x
y= 500+7x
Answer: 25%.
Step-by-step explanation:
5/20= 0.25 or 25%
Answer:
f(-1) = 4
Step-by-step explanation:
See below for the synthetic division tableau. The remainder is 4, hence ...
f(-1) = 4
___
IMO, in this function it is far easier just to substitute -1 for x. Since the only terms are of even degree, the value of f(-1) is the sum of the coefficients:
f(-1) = -1 +1 +4
f(-1) = 4