Answer:
20 degrees
Step-by-step explanation:
One angle is 70 degrees and the other is 90. Angles of a triangle add up to 180. 180 - 70 - 90 = 20. The final angle is 20 degrees.
Answer:
1649.33 units³
Step-by-step explanation:
Let the height and the radius be known as "h" and "r" respectively.
<u>Formulae(s):</u>
- Volume of cylinder: πr²h
- Volume of cone: πr²h/3
Clearly, we can see that the volume of the cylinder is three times greater than the volume of the cone as,
- ⇒ πr²h = 3(πr²h/3)
- ⇒ πr²h = πr²h (True)
<u>Determining the volume of the cylinder;</u>
- ⇒ Volume of cylinder = Volume of cone × 3
- ⇒ Volume of cylinder = 175π × 3
- ⇒ Volume of cylinder = 525π
- ⇒ Volume of cylinder = 1649.33 units³ (2 d.p)
Therefore, the volume of the cylinder is 1649.33 units³.
Answer:
The answer is B.
Step-by-step explanation:
Recall SohCahToa, where 
.
The opposite side (to angle A) here is 8, while the hypotenuse is 10.
Thus, we have:
The correct answer is B.
Answer: The ratio value of oil to popcorn kernels for theatre C is 6 / 32 = 3 / 16.
Step-by-step explanation: Given that the manager of Theatre A says that they usually go through about 15 cups of popcorn kernels and about 5 cups of oil each weeknight.
Then, the ratio value of oil to popcorn kernels for theatre A is 5 / 15 = 1 / 5.
Given that the manager of Theatre B says that they order 18 cups of oil and 72 cups of popcorn kernels each week.
Then, the ratio value of oil to popcorn kernels for theatre B is 18 / 72 = 1 / 4.
Given that the manager of Theatre C says that their concessions use 6 cups of oil and 32 cups of popcorn kernels on a busy Saturday.
Then, the ratio value of oil to popcorn kernels for theatre C is 6 / 32 = 3 / 16.
