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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:
- x/4 = y/2 ⇒ x = 2y
You have other equation:
- x+ y = 18
Substitute
- 2y + y = 18
- 3y = 18
- y = 18/3
- y = 6 ← this is the distance down the wall where the ball should hit
- x = 2(6) = 12
Then, she should aim 6 feet down the wall.
The value of the expression is
Explanation:
The expression is
The value of the expression can be determined using the rule PEMDAS.
According to the PEMDAS rule, first we need to perform the operation which is within the parenthesis.
Thus, the expression becomes,
Multiplying the values within parenthesis, we have,
Using PEMDAS, we need to multiply the numbers.
Again using PEMDAS rule, divide the number,
Finally, using PEMDAS, let us add the values, we have,
Thus, the value of the expression is