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antiseptic1488 [7]
3 years ago
15

You have a fishing line spool with an end that has an area of 20.0 cm2. How much fishing line do you need to wind around the spo

ol 10 times?
Express your answer (in cm) to three significant figures.
Mathematics
1 answer:
lana66690 [7]3 years ago
3 0
<h3>Problem Solution</h3>

Assuming the spool is a cylinder and the circumference we're winding around is that of a circle with the given area, we can write the relation between circumference and area as

... C = 2√(πA)

10 times the circumference is then

... 10C = 20√(π·20 cm²) = 40√(5π) cm ≈ 159 cm

<h3>Formula Derivation</h3>

The usual formulas for circumference and area are

... C = 2πr

... A = πr²

If we multiply the area formula by π and take the square root, we get

... πA = (πr)²

... √(πA) = πr

Multiplying this by 2 gives circumference.

... C = 2√(πA) = 2πr

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What is the volume of the cone below?
Serjik [45]

Answer:

B. 264π units³

Step-by-step explanation:

Volume of the cone = ⅓πr²h

Where,

r = 6

h = 22

Plug in the values

Volume = ⅓×π×6²×22

Volume = ⅓×π×36×22

Volume = 264π units³

5 0
3 years ago
Can someone please help?
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3 0
3 years ago
Write an inequality to describe the region represented on the number line.
vovangra [49]

Answer:

See explanation

Step-by-step explanation:

The question is incomplete, as the required number line is not included in the question.

A general explanation is as follows:

An open circle means > or <

A closed circle means >= or <=

Take, for instance, the attached number line:

The open dot on -3 means >-3 or <-3

The arrow points to the right direction, means >-3 i.e. greater than -3

Hence, the inequality is:

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7 0
3 years ago
Evaluate the expression for b = 7<br> 6b + 8 – 5b
bearhunter [10]

Answer:

For b = 7, the expression equals 15.

Step-by-step explanation:

6b + 8 - 5b

Substitute the variable b = 7.

6(7) + 8 - 5(7)

Multiply.

42 + 8 - 35

Add.

50 - 35

Subtract.

15.

3 0
3 years ago
Read 2 more answers
Will give brainliest
CaHeK987 [17]

Answer:

The vertex is (1,-2)

Step-by-step explanation:

On your page it would be C :)

4 0
3 years ago
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