Answer:

Step-by-step explanation:
Let point
be the point where the straight line drawn from point
meets the straight line
, it is evident that
and
is similar given that both triangles share the same angle,
. Hence, the ratio of the sides of each triangle is the same. Specifically,
.
Performing cross multiplication yields
.
Answer:

Step-by-step explanation:
Given


Find h(x)
Substitute -7 for x


Absolute values return positive. So:


Answer:
The whole number dimension that would allow the student to maximize the volume while keeping the surface area at most 160 square is 6 ft
Step-by-step explanation:
Here we are required find the size of the sides of a dunk tank (cube with open top) such that the surface area is ≤ 160 ft²
For maximum volume, the side length, s of the cube must all be equal ;
Therefore area of one side = s²
Number of sides in a cube with top open = 5 sides
Area of surface = 5 × s² = 180
Therefore s² = 180/5 = 36
s² = 36
s = √36 = 6 ft
Therefore, the whole number dimension that would allow the student to maximize the volume while keeping the surface area at most 160 square = 6 ft.
explanation:
The example above is 2 raised to the third power (raised to the third power means the exponent is 3). This is equivalent to the multiplication problem below, because there is a 1 multiplied by 2 three times. As you can see, the 1 * 2 * 2 * 2 can be simplified to 8 which is the answer to the problem.
hello im just here to just show u an example how to answer, sorry.
Answer:
6.68% of the female college-bound high school seniors had scores above 575.
Step-by-step explanation:
We are given the following information in the question:
Mean, μ = 500
Standard Deviation, σ = 50
We are given that the distribution of score is a bell shaped distribution that is a normal distribution.
Formula:
P(scores above 575)
P(x > 575)
Calculation the value from standard normal z table, we have,
6.68% of the female college-bound high school seniors had scores above 575.