Answer:
C) $64.49
Step-by-step explanation:
let 'x' = #minutes
cost = 29.99 + 0.3(x-500)
= 29.99 + .3(115)
= 29.99 + 34.50
= $64.49
Answer:
75° degree angle
Step-by-step explanation:
Since the angle 105° is in the second quadrant, subtract 105° from 180° .
180-105=75
Answer:
1 10/12
Step-by-step explanation:
Take the fractions and get them to the same bottom number, 12. So it would be 5 4/12 - 3 6/12.
Take 1 away from 5 to get 4 and the one you pulled would be 12/12(also equal to 1). 4 16/12 - 3 6/12 would be 1 10/12
Answer:
At approximately x = 0.08 and x = 3.92.
Step-by-step explanation:
The height of the ball is modeled by the function:

Where f(x) is the height after x seconds.
We want to determine the time(s) when the ball is 10 feet in the air.
Therefore, we will set the function equal to 10 and solve for x:

Subtracting 10 from both sides:

For simplicity, divide both sides by -1:

We will use the quadratic formula. In this case a = 16, b = -64, and c = 5. Therefore:

Substitute:

Evaluate:

Simplify the square root:

Therefore:

Simplify:

Approximate:

Therefore, the ball will reach a height of 10 feet at approximately x = 0.08 and x = 3.92.
Answer:
28.3 feet
Step-by-step explanation:
Given a tree 41.8 feet tall casts a shadow that is 27 feet long
So the Tangent of the angle of the sahdow remains the same for the both trees.
We know that 



Therefore the height of the tree is 28.3 feet