Answer:
Step-by-step explanation:
<u>We know that:</u>
- Area of shaded region = Area of square - Area of circles
- Radius of circle = 3 in
- Area of circle = πr²
- Area of square = s²
<u>Solution:</u>
- Area of shaded region = Area of square - Area of circles
- => Area of shaded region = (12²) - 4(22/7 x 3 x 3)
- => Area of shaded region = (144) - 4(22/7 x 9)
- => Area of shaded region = (144) - 4(198/7)
- => Area of shaded region = 144 - 792/7
- => Area of shaded region = 144 x 7/7 - 792/7
- => Area of shaded region = 1008/7 - 792/7
- => Area of shaded region = 1008/7 - 792/7
- => Area of shaded region = 216/7 in²
The answer is A. I like to use SohCahToa to help me out. The S would be Sin. And from there its oposite (8.5) over adjacent (x). hope this helps :)
Answer:
No rotation will produce a polyhedron. The solids of rotation are non-polyhedral.
Step-by-step explanation:
Solids of rotation will always have a curved face, so they’re always non-polyhedral.
When we say two angles are complementary, we mean that they add up to a right angle – 90 degrees. Now, we haven’t been given either of the angles directly, but we’ve been given their relationship, and we’ve been given the fact that they’re complementary. If we call the angle’s complement θ, we can express the fact that our angle is 78 degrees less than that with the expression (θ-78). Putting our information together, we have:
θ+(θ-78)=90
2θ-78=90
From there, it’s fairly straightforward algebra; just solve for θ. Remember though, the answer they’re looking for is the (θ-78) term, so make sure to evaluate that once you’ve found θ.