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balu736 [363]
2 years ago
7

Find the length of the arc

Mathematics
1 answer:
Korvikt [17]2 years ago
8 0

Answer:

A

Step-by-step explanation:

the length of the arc is calculated as

arc = circumference of circle × fraction of circle

     = 2πr × \frac{120}{360}

     = 2π × 8 × \frac{1}{3}

    = 16π × \frac{1}{3} = \frac{16\pi }{3} m

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Students are making ornaments and each takes 1/4 of a piece of Bristol board. They go to the cupboard and find 2 1/2 pieces of B
coldgirl [10]

Answer: 10 ornaments

Step-by-step explanation:

From the question, we are informed that students are making ornaments and each takes 1/4 of a piece of Bristol board. We are further told that they go to the cupboard and find 2 1/2 pieces of Bristol board.

The number of ornaments that they make will be gotten by dividing 2 1/2 by 1/4. This will be:

= 2 1/2 ÷ 1/4

= 5/2 ÷ 1/4

= 5/2 × 4/1

= 10

They can make 10 ornaments

5 0
3 years ago
A radiator contains 10 quarts of fluid, 30% of which is antifreeze. How much fluid should be drained and replaced with pure anti
prohojiy [21]

ANSWER

Find out the how much fluid should be drained and replaced with pure antifreeze so that the new mixture is 60% antifreeze .

To proof

let us assume that the fluid should be drained and replaced with pure antifreeze be x .

As given

A radiator contains 10 quarts of fluid, 30% of which is antifreeze.

Now write 30% in the decimal form

= \frac{30}{100}

Now write 60% in the decimal form

= \frac{60}{100}

After  drained and replaced the fluid with pure antifreeze than the quantity becomes = ( 10 - x )

The quantity of  antifreeze is

= \frac{30\times (10 - x)}{100}

The fluid should be drained and replaced with pure antifreeze so that the new mixture is 60% antifreeze .

than the equation becomes

= x + \frac{30\times ( 10 - x )}{100} = \frac{60\times10}{100}

solyving

100x +300 - 30x = 600

70x = 300

x = \frac{300}{70}

x = 4.28 quarts (approx)

Hence 4.28 quarts (approx) fluid should be drained and replaced with pure antifreeze so that the new mixture is 60% antifreeze .

Therefore the option (c.) is correct .

3 0
3 years ago
Read 2 more answers
2x-1+3x=0 5x-1=0 how can we get equation b from a
cluponka [151]
2x - 1 + 3x = 0
2x + 3x - 1 = 0
(2 + 3)x - 1 = 0
5x - 1 = 0
7 0
3 years ago
If x+3/3 = y+2/2, then x/3 =​
Kisachek [45]

Answer:

y/3

Step-by-step explanation:

x + 3/3 = y + 2/2

x + 1 = y + 1

x = y + 1 - 1

x = y + 0

x = y

so; x/3 = y/3

8 0
3 years ago
How many 3s are in 48?
Nitella [24]
To find the answer, all you need to do is divide 48 by 3. This shall get you the answer 16. This means that there are sixteen(16) 3s in 48.
8 0
3 years ago
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