Step-by-step explanation:
The 3rd interior angle of the triangle can be written as
The angle above is supplementary to the angle (2x - 2), therefore
Solving for x, we get
Given data:
The diameter of the cut sphere, D=14 in.
The radius of the cut sphere is,
The cut sphere is called a hemisphere.
The surface area of a sphere is
So, the lateral surface area of a hemisphere is half the surface area of sphere. Therefore, the lateral surface area of a hemisphere is,
The hemisphere has a lateral surface and a circular surface. The area of the circular surface is,
Therefore, the total area of the hemisphere is,
The total surface area of a hemisphere is,
Therefore, the total surface area of the cut sphere is 461.8 square inches.
Answer:
no
Step-by-step explanation:
Answer:
x = y = 2
Step-by-step explanation:
Using the sine ratio in the right triangle and the exact value
sin45° = , then
sin45° = = = ( cross- multiply )
x = 2 ( divide both sides by )
x = 2
The triangle is isosceles, base angles both 45°, then legs are congruent, so
x = y = 2
Answer:
The x-intercepts: (-0.5, 0) and (2, 0)
The y-intercept: (0, -2)