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Gennadij [26K]
3 years ago
14

Calculate the area of the shaded sector in the circle​

Mathematics
1 answer:
scZoUnD [109]3 years ago
5 0

Answer:

area ≈ 6.3 units²

Step-by-step explanation:

Calculate the area (A ) of the sector as

A = area of circle × fraction of circle

   = πr² × \frac{45}{360}

   = π × 4² × \frac{1}{8}

    = 16π × \frac{1}{8} ← cancel 8 and 16 by 8, leaving

A = 2π ≈ 6.3 units² ( to 1 dec. place )

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(I'd like the quick and short answer please a long explaination is unnecessary)
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3 years ago
Two miners are trying to push a stationary mine cart filled with gold. Miner A is exerting 25 N while miner B is exerting 20 N.
Oliga [24]

Answer:

b. 45 N

Step-by-step explanation:

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Since after applying a force of 45 N by the two miners the cart remained stationary, it implies that a resistance force of at least 45 N acts against their push. Thus, the force exerted by the road could be equal to 45 N or greater than 45 N.

Probably, if the sum of the forces applied is 46 N, the cart would move. Which depends on the value of resistance force applied by the road. Thus, the appropriate answer from the given option is B.

Since the force applied on the cart equals the resistance force exerted by the road, the cart would not move.

6 0
3 years ago
Find the solution to the system of equations. <br> x+y+z=23 <br> y+z=14 <br> z=9
Ne4ueva [31]
<span>A) x+y+z=23
B) y+z=14
C) z=9
Since z = 9 then
A) x + y = 14
B) y = 5
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A) x + 5  + 9 = 23
A) x = 9
 
</span>
3 0
3 years ago
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