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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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47/100+3/10+47/100=/100
ira [324]

Answer:

The total is 97/100

Step-by-step explanation:

47/100+3/100=50/100 (aka 1/2)

50/100+47/100=97/100

5 0
1 year ago
A triangle with 7,?, and form a right triangle.
Vlad1618 [11]

9514 1404 393

Answer:

  C  24

  D  25

Step-by-step explanation:

Consider the choices offered:

  5 and 7 will not form a triangle* with any of the other lengths

  7 and 12 will not form a triangle with any of the other (longer) lengths

  7 and 24 will form a triangle with the other possibilities, 25 and 29. (needs further consideration)

  7 and 25 will not form a right triangle with 29, because a right triangle cannot have 3 odd-length sides.

__

<em>Further consideration</em>

  7^2 +24^2 = 49 +576 = 625 = 25^2 . . . . checking Pythagorean theorem

The side measures 7, 24, 25 will form a right triangle.

_____

* A triangle can be formed from three segments only if the sum of the shortest two exceeds the length of the longest one.

6 0
2 years ago
URGENT! PLEASE HELP!!!!
Setler [38]
Bae is the solution to this question
8 0
1 year ago
Which equation results from taking the square root of both sides of (x 9)2 = 25? x 3 = ±5 x 3 = ±25 x 9 = ±5 x 9 = ±25.
kow [346]

The equation which is results from taking the square root of both sides of the provided equation is,

(x+9)=\pm5\\

<h3>What is the square root?</h3>

A square root of a number is the value which is when multiplicand by itself gives the same value as the number posses.

Let a number is <em>a. </em>Then this number in the form of square root can be written as,

a=\sqrt{a}\times \sqrt{a}

The given algebraic equation in the problem is,

(x+ 9)^2 = 25

Take the square root, in both sides,

\sqrt{(x+ 9)^2} = \sqrt{25}\\\sqrt{(x+ 9)^2} = \sqrt{5^2}

Cancel out the square root with the square of the number as,

(x+9)=\pm5\\

Hence, the equation which is results from taking the square root of both sides of the provided equation is,

(x+9)=\pm5\\

Learn more about the square root of number here;

brainly.com/question/664132

7 0
2 years ago
Is (2, 2) a solution to the inequality 2x+5y&lt; 20​
mojhsa [17]

Answer:

yus

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
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