The area of the triangle PQR is 108 square units
<h3>How to determine the area of the triangle?</h3>
The given parameters are:
- Height, h = 12 units
- Base, b = 18 units
The area is then calculated using:
Area = 0.5 * base * height
So, we have:
Area = 0.5 * 18 * 12
Evaluate
Area = 108
Hence, the area of the triangle PQR is 108 square units
Read more about areas at:
brainly.com/question/24487155
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The distance formula is: d = sqrt( (x2 - x1)2 + (y2 - y1)2 )
For this problem, let (-5, -4) be the "first" point, so x1 = -5 and y2 = -4
and let (-6, 4) be the "second" point, so x2 = -6 and y2 = 4.
Then: d = sqrt( (-6 - -5)2 + (4 - -4)2 ) = sqrt( (-1)2 + (8)2 ) = sqrt( 1 + 64 ) = sqrt( 65)
The distance formula is just the Pythagorean Theorem applied to an x-y graph.
You would get the same final answer if you let (-5, -4) be the second point and (-6, 4) be the first point.
You see how these 2 angles marked are both inside the 2 parallel lines?
And they are on opposite side of the transversal, the line crossing the 2 parallel lines?
These 2 angles are alternate interior angles and they are equal, I think you can do the last part by yourself.
The volume of a Cylinder is:
the base is a circle, so
replacing
now we have the values
Answer:
Step-by-step explanation:
W=2.5, L=x
A=LW=2.5x
P=2(L+W)=2(2.5+x)=5+2x
P=A
5+2x=2.5x
5-0.5x=0
-0.5x=-5
x=10
