First, let's get the area of the entire triangle since we'll need it later. The area of a triangle is A=1/2*b*h
We can find the height with the Pythagorean theorem by splitting the triangle in half.
3^2+b^2=6^2
9+b^2=36
b^2=27
b=√27
Then we can find the area:
A=1/2*6*√27
A=3√27 or =9√3 or 15.59
Now we can find the area of each region in the triangle other than the shaded region because they are all portions of a circle.
Each region has an angle of 60 because this is an equilateral triangle. Therefore the area of each region other than the shaded region will be 1/6 the area of a circle with a radius of 3 because a full circle is 360 degrees.
A=pi*r^2/6
A=pi*9/6
A=4.71
So three of these regions would have an area of 14.14
We do the area of the triangle minus the area of these regions to get the area of the shaded region
15.59-14.14 = 1.45
Hope this helps!
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Answer:
D. S’ is the result of switching coordinates of S.
Step-by-step explanation:
Transformation is the movement of a point from its initial location to a new location. Type of transformation are translation, reflection, rotation and dilation.
If a point A(x, y) is reflected along the x axis, the new point is A'(x, -y). If a point A(x, y) is rotated 90° counterclockwise about the origin, the new point is A'(-y, x).
Let us assume that S is at (x, y). Hence, if point S is reflected about the x-axis in the coordinate plane to get (x, -y). If it is then rotated 90° counterclockwise about the origin, the new point is at S'(y, x). S’ is the result of switching coordinates of S
Answer:
72 novels
Step-by-step explanation:
A number of assumptions are involved regarding operating environment, utilization fraction, and probability of failure as a function of time. The precise meanings of the words "average", "supposed to last", "maximum", and "expect" are involved. The details are too arcane to go into here.
(450 hours)/(6 1/4 hours/novel)
= (450/(25/4)) novels
= (450*4/25) novels
= 72 novels
100-99=1+98=99-97=2+96=98-95=3
2-1=1
Answer:
40
Step-by-step explanation:
Angle KPJ is going to have the same measure as Angle DPE. This problem is a bit tricky, but I'll try my best to explain it. A straight angle is basically just a straight line, and it equals 180 degrees. Angle FPG is a straight angle.
To find the measure of Angle KPJ, we first have to find the measure of angle DPE, and the way we're gonna do that is add together the other angles in the straight angle (which would be Angle FPD and Angle EPG) and then subtract that from 180 (measure of a straight angle).
That might have sounded a bit confusing, but that's the best way I could explain it. Now, let's add Angle FPD and Angle EPG.
105 + 35 = 140
Now, let's subtract that from 180.
180 - 140 = 40
We now know that the measure of Angle DPE is 40, and since it's equivalent to Angle KPJ, our answer is 40!
I know that was confusing, but I hope it helped a little bit! Have a lovely day!! :)
