Answer:
6.4
Step-by-step explanation:
The given triangle is a Right Angled Triangle with right angle at E.
So, measure of angle E = 90 degrees
measure of angle D = 62 degrees
measure of side FE = 12
We have to find the measure of side DE. Note that side DE is adjacent to Angle D and side FE is opposite to angle D. So we can use tangent ratio to find the measure of DE.
![\textrm{Tangent of angle}=\frac{Opposite}{Adjacent}\\\\tangent(62)=\frac{FE}{DE}\\\\tangent(62)=\frac{12}{DE}\\\\DE=\frac{12}{tangent(62)}\\\\DE=6.4](https://tex.z-dn.net/?f=%5Ctextrm%7BTangent%20of%20angle%7D%3D%5Cfrac%7BOpposite%7D%7BAdjacent%7D%5C%5C%5C%5Ctangent%2862%29%3D%5Cfrac%7BFE%7D%7BDE%7D%5C%5C%5C%5Ctangent%2862%29%3D%5Cfrac%7B12%7D%7BDE%7D%5C%5C%5C%5CDE%3D%5Cfrac%7B12%7D%7Btangent%2862%29%7D%5C%5C%5C%5CDE%3D6.4)
Therefore, the value of DE, rounded to nearest tenth is 6.4
Answer:
$14.04
Step-by-step explanation:
to find the answer we can multiply 19.5 by 28% and use that answer to subtract to 19.5 or we can just directly multiply 19.5 by 72%
19.5 * 72% = 14.04
it costs $14.04 after a markdown of 28%
First compute the area of the square like this:
![9^2=81](https://tex.z-dn.net/?f=9%5E2%3D81)
There is two semi circles here, so the sum of the two white
spaces equate the area of a circle.
the radius of the circle is 9/2.
So compute the area of the like this:
![\pi (\frac{9}{2})^2](https://tex.z-dn.net/?f=%5Cpi%20%28%5Cfrac%7B9%7D%7B2%7D%29%5E2%20)
And the area of the shaded region is the area of the square minus
the area of the two semi circles, like this:
![81-\pi (\frac{9}{2})^2](https://tex.z-dn.net/?f=81-%5Cpi%20%28%5Cfrac%7B9%7D%7B2%7D%29%5E2%20)
We are done.
X + y = 12 . . . . . . . . (1)
x - 3y = -30 . . . . . . . (2)
(1) - (2): 4y = 42
y = 10.5
First find the area of the base, and multiply that by the height. That's the answer.
Area of the base: pi * 3*3 = 3.14*9 = 28.26
Volume of the cylinder: 28.26*8 = 226.08 cubic units