Answer:
29/4 or 7.25
Step-by-step explanation:
Complimentary angles are two angles that add up to 90
Supplementary angles are two angles that add up to 180
Angle ABC = x
Angle CBD = 7y + 4
Angle DBE = 8y + x
If we can find the measure of angle CBD, then we can find x.
We know that CBD + DBE = 180 because they are supplementary. Therefore...
(7y + 4) + (8y + x) = 180
AND
(7y + 4) + (x) = 90
Now we can use algebra to solve for x and y...
Blah blah blah...
x = 29/4
y = 45/4
The formula for a cylinder is πr²*h where r is the radius and h is the height:
1.) Plug in r for 4, as the radius is 4
π(4)²*h
2.) Plug in h for 8, as the height is 8
π(4)²*8
3.) Simplify 4²
π(16)8
4.) Simplify 16*8
π128
5.) Don't forget your units, inches cubed (because you multiplied three dimensions all with inches, which results in the inches being multiplied three times as well)
π128 in³ or 128πin³
It is the third answer choice, hope this helped :)
(3x² -7x⁴) from (5x² - 3x⁸)
= 5x² - 3x⁸ - (3x² -7x<span>⁴ )
= </span> 5x² - 3x⁸ - 3x² + 7x<span>⁴
= </span>- 3x⁸ + 7x⁴ + 5x² <span>- </span><span>3x²
</span>
= - 3x<span>⁸ </span>+ 7x⁴ + 2x<span>²</span>
5-6x=2+7x
+6x +6x
5=2+13x
-2 -2
3=13x
3/3= 13/3
x=4.33
Answer:
972
Step-by-step explanation:
The first term is (9x)^3, so the coefficient of x is 9. Since the degree is 3, the second term must have a multiplier of (3 choose 1). 1458 / (3 choose 1) = 486.
486 / (9^2) = 6. Therefore, the coefficient of y must be 6. Since the second term is negative, the coefficient of y is also negative. Thus, this can be written as (9x-6y)^3. Solving for the xy^2 term gives us (3 choose 2) * 9 * 6^2 = or the third option.