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Effectus [21]
3 years ago
8

Find the area of a 120° sector of a circle whose radius is 6.

Mathematics
1 answer:
katrin [286]3 years ago
3 0
First, determine the area of the whole circle by the equation, A = πr². Substituting,
                             A = π(6²) = 36π
Then, multiply this value with the ratio of the given angle to the whole revolution,
                            A(sector) = 36π x (120° / 360°)
The area of the sector is therefore 12π units².
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A company has two manufacturing plants with daily production levels of 5x +14 items and 3x-7 ​items, respectively. The first pla
Llana [10]

Answer:

The first plant produces 2x + 21 more items daily than the second​ plant.

Step-by-step explanation:

The daily production of the two plants are:

Plant 1: 5x + 14

Plant 2: 3x - 7

Compute the number of items first plant produces more than the second​ plant as follows:

\text{Plant 1 - Plant 2}=5x+14-3x+7\\\\=2x+21

Thus, the first plant produces 2x + 21 more items daily than the second​ plant.

3 0
2 years ago
Please help me i don’t know if I’m right
Scilla [17]

Answer:

   your choice is correct

Step-by-step explanation:

The magnitude of the difference between the target amount and the actual amount will be no greater than the allowed error.

  |x -34| ≤ 0.25

5 0
2 years ago
Someone help ASAP will give brainliest
bogdanovich [222]
The 3rd answer, is correct.
3 0
3 years ago
Can you solve please -8(0.09) (-0.5)=?
Svetlanka [38]

-8(0.09) (-0.5) = 0.36

-8(0.09) (-0.5)

(-0.72) (-0.5)

0.36

6 0
2 years ago
Read 2 more answers
9mph in still water it takes 5hrs longer to travel 74 miles upstream than downstream find the rate of current and round to neare
prohojiy [21]

Answer:

The rate of current is 2.5 mph.

Step-by-step explanation:

The speed in the water when current is absent is 9 mph.

If the speed of the current is v mph then the upstream speed is (9 - v) mph and the downstream speed is (9 + v) mph.

Now, it takes 5 hours longer to travel 74 miles upstream than down stream, then we can write the equation as  

\frac{74}{9 - v} - \frac{74}{9 + v} = 5

⇒ \frac{2v}{81 - v^{2} } = \frac{5}{74}

⇒ 148v = 405 - 5v²

⇒ 5v² + 148v - 405 = 0

Applying Sridhar Acharya's formula we can write  

v = \frac{-148 + \sqrt{148^{2} - 4(5)(-405) }  }{2(5)} (Neglecting the negative root)

⇒ v = \frac{- 148 + 173.2166}{10} = 2.5 mph (Rounded to the nearest 10th) (Answer)

7 0
3 years ago
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