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3 years ago

Please answer asap this is 7th grade math find the area

Mathematics

2 answers:

Rainbow [258]3 years ago

7 0

25pi

pi x 10^2 is 100pi

Divide by four = 25pi

Pepsi [2]3 years ago

6 0

Answer:

78.53981634²

Step-by-step explanation:

(π×r²)÷4=area of shape

r (radius) = 10

π × 10² = 314.1592653²

314.1592653² ÷ 4 = 78.539816332

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

docker41 [41]

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

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

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

6 0

3 years ago

Using the Classic Rock data in the Math 108 group on StatCrunch, create a histogram with the

liberstina [14]

The product of the frequency and PlayCount gives the number of songs

played from the information in the histogram.

Correct responses (rounded to the nearest whole integer)

1. 2%

2. 27 PlayCount per song

3. 68%

<h3>How does one analyze an histogram?</h3>

1. The given data from the histogram is presented in a tabular form as follows;

$\begin{tabular}{|c|c|c|c|c|c|c|c|c|c|c|c|c|c|c|c|}f&899&224&126&96&71&52&39&41&44&23&14&12&3&4&3\\x&10&20&30&40&50&60&70&80&90&100&110&120&130&140&150\end{array}\right]$

The percentages of song that where played over 100 times is given as follows;

∑f = 899+224+126+96+71+52+39+41+44+23+14+12+3+4+3 = 1651

Number of songs played over 100 times = 14 + 12 + 3 + 4 + 3 = 36

$Percentage \ of \ songs \ played \ over \ 100 \ times = \mathbf{\dfrac{36}{1,651} \times 100} \approx \underline{2 \%}$

2. Mean of a frequency distribution is given as follows;

$Mean = \mathbf{\dfrac{\sum f\times x}{\sum f}}$

Where;

x = The PlayCount

From MS Excel, we have;

∑f·x = 44410

Which gives;

$Mean = \dfrac{44410}{1651} \approx \underline{27}$

3. Number of songs played less than 20 times = 899 + 224 = 1,123

$\mathbf{Percentage} \ of \ songs \ played \ less \ than \ 20 \ times = \dfrac{1,123}{1,651} \times 100 \approx \underline{ 68 \%}$

Learn more about percentages and histograms here:

brainly.com/question/10491646

brainly.com/question/1413492

6 0

2 years ago

Which mathematical statement fits the Venn diagram?

Vadim26 [7]

The answer C) One set shares some element with another.

6 0

4 years ago

Read 2 more answers

How to break down 4/5 + 13/15 = 1 2/3

nalin [4]

Answer:

Step-by-step explanation:

The left hand side of the equation contains proper fractions while the right hand side of the equation contains mixed fraction. The mixed fraction can be changed to improper fraction. 1 2/3 becomes 5/3

To breakdown the left hand side of the equation, we would take lowest common factor of 5 and 15. It is 15

Considering 4/5, if 15 divides 5,the result is 3. Multiplying 3 by 4 gives 12. So it becomes

12/15

Considering 13/15, if 15 divides 15,the result is 1, Multiplying 1 by 13 gives 13. So it becomes

13/15

The equation becomes

(12 + 13)/15 = 5/3

25/15 = 5/3

Simplifying 25/15 to its lowest terms, it becomes 5/3 so

5/3 = 5/3

6 0

3 years ago

Read 2 more answers

You earn $35 for washing seven cars how much do uou earn for 4 cars

8_murik_8 [283]

Answer:

Step-by-step explanation:

because 35 divided by 7 is 5, so 4 cars must be 5 x 4 = 20

4 0

3 years ago