Answer:
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- <u>She should aim 6 feet down the wall</u>
Explanation:
The diagram attached sketches the situtation.
Since the angle with which the ball hits the wall is the same with which it bounces, angle β is the same for the two shown triangles.
Then, since both are right triangles, then all the angles are congruent and the triangles are similar. Hence, you can equal the ratios of the sides, to make an equation:
You have other equation:
Substitute
- 2y + y = 18
- 3y = 18
- y = 18/3
- y = 6 ← this is the distance down the wall where the ball should hit
Then, she should aim 6 feet down the wall.
Fifth root of x is x^1/5 as an exponential expression. . This to the 7th power is
x ^(1/5 * 7) which is x^(7/5). Bringing this to the third power is x^ (21/5) which is your answer.
Answer:
Height h = 9 cm
Step-by-step explanation:
Given:
Surface area of cuboid = 102 cm²
Length l = 2 cm
Breadth b = 3 cm
Find:
Height h
Computation:
Surface area of cuboid = 2[lb + bh + hl]
102 = 2[(2)(3) + (3)(h) + (h)(2)]
51 = 6 + 3h + 2h
45 = 5h
Height h = 9 cm
Answer:
First you choose a wrong section, second, the answer is: helps the body move.
Answer:
$1050
$54,600
Step-by-step explanation:
In this question, we are looking at calculating two things. We want to calculate the amount of commission made in a week and the amount made in a year.
Firstly, to calculate the amount of commission she made last week, we simply find the percentage.
Mathematically, this is equal simply to:
14% of $7,500 = 14/100 * 7500 = $1050
She made a commission of $1050 last week
Now, we are told this is the average she makes per week. We now want to calculate how much she makes per year. To do this, what we do is to multiply what she had made in a week by the number of weeks in a year.
The number of weeks in a year is 52. The amount she made is just 52 * $1050 = $54,600
