Answer:
C is the answer
Step-by-step explanation:
bc f(7)<0 and f(8)>0, is between o
Answer:
D
Step-by-step explanation:
40% = 
= 
← in simplest form
Then
of $120 = × $120 = 2 × $24 = $48
she pays $120 - $48 = $72
Answer:
-48
Step-by-step explanation:
−112÷2 1/3 needs to be rewritten as -112 / (7/3), where 7/3 is the improper fraction version of 2 1/3.
Then we have
-112
---------
7/3
Recall that division by a fraction is equivalent to multiplication by the reciprocal of the fraction; thus, the above expression becomes
-112 * 3
-----------
7
This, in turn, can be reduced through division to -16*3, which equals -48.
Answer:
I think it is 5 + 2x
Step-by-step explanation:
Answer:
a) The distance of the light's base from the bottom of the building is approximately: 5.2 ft
b) The length of the beam is approximately: 10.4 ft
Step-by-step explanation:
First, we have to recognize that we may draw a right triangle to picture our problem. Then, in order to find out the distance of the light's base from the bottom of the building, we need to use the tangent trigonometric function:
tan(angle) = opposite side / adjacent side
We know the angle and the opposite side and we want to find the adjacent side:
adjacent side = opposite side / tan(angle) = 9 ft / tan(60°) = 9 ft / = 9 ft / 1.73 = 5.2 ft
In order to find the length of the light beam, we use Pythagoras Theorem:
leg1²+leg2² = hyp²
Since the length of the beam corresponds to the hypotenuse and since we already know the length of the two legs, it is just a matter of substituting the values:
hyp = square_root(leg1²+leg2²) = square_root(9² + 5.2²) ft = square_root(108.4) ft = 10.4 ft
