1. Determine the angle, to the nearest degree, of C if tan C = 5.1323
1 answer:
You might be interested in
Answer:
∠B = 60°
a = 4.0 units
b = 6.9 units
Step-by-step explanation:
The triangle is right angled. The sum of all angles of a triangle is equal to 180 degrees.
The 3 angles are 90, 30 , ∠B .
<em></em>
Thus, B = 180 - 120 = 60 degrees
by trigonometry,
sin(30) = = 0.5
a = (8)(0.5) = 4 units
Also,
cos(30) = = 0.866
b = (8)(0.866)= 6.928
Answer:
The volume of the shaded figure is 252π feet³ ⇒ 1st answer
Step-by-step explanation:
* <em>Lets revise how to find the volume of the sphere</em>
- The volume of any sphere is , where
r is the radius of the sphere
- There is a large sphere of diameter 12 feet
- The diameter of the sphere is twice its radius
∵ The length of the diameter is 12 feet
∴ The length of the radius = feet
- There is a smaller sphere with a radius of 3 feet
- The smaller sphere is cut out of the center of the larger sphere
- <em>The volume of the shaded part is the difference between the </em>
<em> volumes of the larger sphere and the smaller sphere</em>
* <em>Lets find the volume of each sphere</em>
- The volume of the larger sphere:
V larger = = 288π feet³
- The volume of the smaller sphere:
V smaller = = 36π feet³
∴ The volume of the shaded figure = 288π - 36π = 252π feet³
* The volume of the shaded figure is 252π feet³