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3 years ago

The radius of a circle is 19 kilometers. What is the circle's area?

Mathematics

1 answer:

Firdavs [7]3 years ago

4 0

<h2> <em>Answer</em></h2>

<em>361</em><em>π</em><em>km²</em>

<h2> <em>Explanation</em></h2>

• the formula to find the area of a circle is A=πr²

<h3> => <em>A=π(19km)²</em></h3><h3><em>A=π(19km)² => A=361πkm</em>²</h3><h2><em>I</em><em> hope</em><em> it</em><em> helps</em><em>!</em><em>!</em></h2>

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10-3•2/1+1 what is the answer???

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Jill invested $500 in an account with a compound interest rate of 6%. cheryl invests $600 in an account with a compound interest

34kurt

The time taken by Jill and Cheryl to double their money is 12 years and 18 years respectively.

<h3>What is Algebra?</h3>

Algebra is the study of mathematical symbols and the rule involves manipulating these mathematical symbols.

Jill invested $500 in an account with a compound interest rate of 6%.

Cheryl invests $600 in an account with a compound interest rate of 4%.

The number of years each doubles their money. Using the relation of 72.

$\rm t = \dfrac{72}{r}$

where r is the interest rate and t be the time

The time for the Jill will be

$\rm t = \dfrac{72}{6}\\\\t = 12\\$

The time for the Cheryl will be

$\rm t = \dfrac{72}{4}\\\\t = 18\\$

More about the Algebra link is given below.

brainly.com/question/953809

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2 years ago

List price List price: Divide 7434 items between four people, A,B,C and D in the proportions: 3:6:8:4. How many items do B and D

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Answer:

B 2124

D 1416

Step-by-step explanation:

Take the ratio

A B C D Total

3 6 8 4 21 (3+6+8+4 = 21)

B gets 6 out of every 21 items

Take that fraction times the total items

6/21 * 7434 = 2124

D gets 4 out of every 21 items

Take that fraction times the total items

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What algebraic property does the equation 7 + (-7) = 0 represent?

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I suck at math if you could help me with these questions that would be great

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Answer:

Part 8) The triangles are not similar (see the explanation)

Part 12) The triangles are not similar (see the explanation)

Part 14) The area is increased by 125%

Part 15) $h=30\ ft$

Step-by-step explanation:

Part 8) we know that

If two triangles are similar, then the ratio of its corresponding sides is proportional and its corresponding angles are congruent

<em>Find the value of x in the larger triangle</em>

The sum of the interior angles in any triangle must be equal to 180 degrees

$64^o+85^o+x=180^o$

$149^o+x=180^o$

$x=180^o-149^o$

$x=31^o$

<em>Find the value of y in the smaller triangle</em>

The sum of the interior angles in any triangle must be equal to 180 degrees

$26^o+85^o+y=180^o$

$111^o+y=180^o$

$y=180^o-111^o$

$y=69^o$

The corresponding angles of both triangles are not congruent

therefore

The triangles are not similar

Part 12) we know that

If two triangles are similar, then the ratio of its corresponding sides is proportional and its corresponding angles are congruent

The measure of the interior angles of the triangle of the left are

88°

29° ----> by vertical angles

and

180°-(88°+29°)=63° ---> the sum of the interior angles in any triangle must be equal to 180 degrees

The measure of the interior angles of the triangle of the right are

180°-91°=89° ----> the sum of a exterior angle and a interior angle is equal to 180 degrees

29°

and

180°-(89°+29°)=62° ---> the sum of the interior angles in any triangle must be equal to 180 degrees

The corresponding angles of both triangles are not congruent

therefore

The triangles are not similar

Part 14) we know that

If two figures are similar then the ratio of its areas is equal to the scale factor squared

In this problem the scale factor is 1.5

Because

100%+50%=150%=150/100=1.5

The scale factor squared is $1.5^2=2.25$

That means that the new area is 2.25 times the original area

The area is increased by 125%

Part 15)

Let

h ----> the height of the pine

we know that

The height of the person divided by the length of his shadow is equal to the height of the pine tree divided by the length of its shadow

using proportion

$\frac{6}{3}=\frac{h}{15}$

solve for h

$2=\frac{h}{15}$

$h=2(15)=30\ ft$

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3 years ago