To find the last angle, add the 90 degree angle and 65 degree angle.(155)
Since a triangle has a total of 180 degrees, subtract 155 from 180 to get the third angle.(25 degrees)
To find the last side, use the pythagorean theorem(a^2 + b^2 = c^2)
a^2 + 77^2 = 85^2
solve, and you'll get the last side
Answer:
The general formula for the total surface area of a right prism is T. S. A. =ph+2B where p represents the perimeter of the base, h the height of the prism and B the area of the base.
Step-by-step explanation:
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Answer:
(x + 2)^2 + (y - 5)^2 = 32 or [4√2]^2
Step-by-step explanation:
Here we have a circle with center at (-2, 5), which represents (h, k). Thus, the standard equation of a circle with center at (h, k), shown below
(x - h)^2 + (y - k)^2 = r^2 (where r represents the radius of the circle)
becomes:
(x + 2)^2 + (y - 5)^2 = r^2. We know that this circle passes through (-6, 1), so this last equation becomes:
(-6 + 2)^2 + (1 - 5)^2 = r^2, or 16 + 16 = r^2.
Then 2(16) = r^2.
Taking the square root of both sides yields r = 4√2.
The desired equation of this circle is then
(x + 2)^2 + (y - 5)^2 = 32 or [4√2]^2