Answer:
The height of the projection will be (x - 5) feet.
Step-by-step explanation:
A projector displays an image on a wall. The area (in square feet) of the rectangular projection can be represented by (x² - 8x + 15).
Now to get the width and the height of the rectangular projection we have to factorize the expression (x² - 8x + 15).
Here, (x² - 8x + 15)
= x² - 3x - 5x + 15
= (x- 3)(x - 5)
Now, if the height of the projection is less than its width then, the height of the projection will be (x - 5) feet. (Answer)
Put the decimal over 100 and get rid of the decimal
Given:
The expression is 
.
To find:
The position of parentheses inserted in the expression to get the value 19
Step-by-step explanation:
We have,
Now,
There are more ways to apply the parenthesis, but we do not get 19.
And many more possibilities.
Therefore, the expression after inserting the parentheses is 
.
Answer:
4.58258
Step-by-step explanation:
Pythagorean Theorem:
a² + b² = c²
Input:
2² + x² = 5²
Remember, c² is always the side opposite of the right angle...
4 + x² = 25
21 = x²
x = 4.58258
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-Chetan K
Use pythagora's theorem to test if it is a right triangle
c^2 = a^2 + b^2
65^2 = 52^2 + 43^2
4225 = 2704 + 1849
4225 =/= 4553
therefore it is not a right triangle as it does not comply to pythagora's theorem
