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ElenaW [278]
2 years ago
12

What is the central angle of the arc

Mathematics
1 answer:
love history [14]2 years ago
6 0

Answer:

20°

Step-by-step explanation:

\because \: l =  \frac{ \theta}{360 \degree}  \times c \\  \\  \therefore \:  \frac{1}{3}  =  \frac{ \theta}{360 \degree}  \times 6 \\  \\  \therefore \:  \theta =  \frac{360 \degree}{3 \times 6}  \\  \\  \therefore \:  \theta =  \frac{360 \degree}{18}  \\  \\ \therefore \:  \huge \red{ \boxed{ \theta = 20 \degree}} \\

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68 should be the answer... Sorry if I'm wrong
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3 years ago
The washer in the image has an inner diameter of 1/4 inch. The outer diameter measures 3/4 inch, and the washer is 1/4 inch thic
Talja [164]

Answer:

  0.14 lb . . .  closest choice is 0.11 lb

Step-by-step explanation:

The inside and outside radii are 1/8 in and 3/8 in, respectively. Then the area of the top of the washer is ...

  A = π(R² -r²) = π((3/8)² -(1/8)²) = π(9/64 -1/64) = π/8 . . . square inches

The height of the stack of 5 washers will be 5×(1/4 in) = 5/4 in. So, the volume of material in the stack of washers is ...

  V = Bh = (π/8)(5/4) = 5π/32 . . . cubic inches

The weight of material is the product of volume and density, so is ...

  W = (5π/32 in³)(0.285 lb/in³) ≈ 0.1399 lb ≈ 0.14 lb

_____

<em>Comment on the question</em>

Since this answer does not correspond to any of the offered choices, we suggest you ask your teacher to work this out for you. We suspect they will have difficulty justifying any of the answer choices shown here. (0.11 lb corresponds to 4 washers, not 5.)

5 0
3 years ago
What is the amount of money p that will generate $40 in interest at a 10$ interest over 5 years
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I need the answer ASAP! Thanks! ❤️
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