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)
Answer:
x=-1
Step-by-step explanation:
Step 1: We make the assumption that 498 is 100% since it is our output value.
Step 2: We next represent the value we seek with $x$x.
Step 3: From step 1, it follows that $100\%=498$100%=498.
Step 4: In the same vein, $x\%=4$x%=4.
Step 5: This gives us a pair of simple equations:
$100\%=498(1)$100%=498(1).
$x\%=4(2)$x%=4(2).
Step 6: By simply dividing equation 1 by equation 2 and taking note of the fact that both the LHS
(left hand side) of both equations have the same unit (%); we have
$\frac{100\%}{x\%}=\frac{498}{4}$
100%
x%=
498
4
Step 7: Taking the inverse (or reciprocal) of both sides yields
$\frac{x\%}{100\%}=\frac{4}{498}$
x%
100%=
4
498
$\Rightarrow x=0.8\%$⇒x=0.8%
Therefore, $4$4 is $0.8\%$0.8% of $498$498.
Answer:
38cm3
Step-by-step explanation:
