Answer:
Marcus total score = 1 points
Step-by-step explanation:
Given:
Marcus score in the first round = 5 points
Marcus score in the second round = -4 points
Find:
Marcus total score
Computation:
Marcus total score = Marcus score in the first round + Marcus score in the second round
Marcus total score = 5 + (-4)
Marcus total score = 5 - 4
Marcus total score = 1 points
4) because 10 x 10 is 100
Answer:
See below ~
Step-by-step explanation:
<u>Things to Find</u>
- Volume of Toy
- Difference of Volumes in Cube and Toy
- Total Surface of Toy
<u>Volume of Toy</u>
- Volume of Hemisphere + Volume (Cone)
- 2/3πr³ + 1/3πr²h
- 1/3πr² (2r + h)
- 1/3 x 3.14 x 16 (8 + 4)
- 1/3 x 50.24 x 12
- 50.24 x 4
- <u>200.96 cm³</u>
<u></u>
<u>Volume of Circumscribing Cube</u>
- Edge length is same as diameter
- V = (8)³
- V = 512 cm³
<u>Difference in Volume</u>
- 512 - 200.96
- <u>311.04 cm³</u>
<u></u>
<u>Slant height of cone</u>
- l² = 4² + 4²
- l² = 32
- l = 4√2 cm = 5.6 cm
<u />
<u>Surface Area of Toy</u>
- CSA (hemisphere) + CSA (Cone)
- 2πr² + πrl
- πr (2r + l)
- 3.14 x 4 (8 + 5.6)
- 12.56 x 13.6
- <u>170.8 cm²</u>
The correct answer is
D) ∠HJK is a right angle.
The representation of this problem is shown in the figure below. The segment that goes from the center of a circle to a point of it is the radius. For each point this segment strikes radially the circle, so given that in this very point there is a tangent segment, then the conclusion is that ∠HJK must be a right angle.<span />
the answer would be C, 35