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charle [14.2K]
3 years ago
7

Find the area of each figure. use 3.14 for pi

Mathematics
1 answer:
Dvinal [7]3 years ago
4 0

Answer:

1) 39.5 ft^2

1) 139.15m^2

Step-by-step explanation:

2) area of a rectangle formula : LW

Area of a triangle:(bh)/2

Area of a semi circle:( Pi*r^2)/2

Area of a square: S^2

Area of figure one:

Lw+(b1*h1)/2+(b2*h2)/2

8*4+(2*3)/2+(3*3)/2

32+3+4.5=39.5

Area of fig 2:

S^2+(pi*r^2)/2

10^2+(3.14*5^2)/2

100+78.5/2

100+39.25=139.25

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What is the equation of the line that is perpendicular to y, =, 1 over 3 x, 4. And contains the point negative 2, negative 5,?.
Anit [1.1K]

The equation of the line is, \rm y = 3x + 1.

Given that,

The equation of the line is,

\rm y = \dfrac{1}{3} x+4\\

And contains the point (-2, -5).

We have to determine,

What is the equation of the line that is perpendicular to the given line?

According to the question,

The equation of the line is,

\rm = \dfrac{1}{3}x + 4\\

On comparing with the standard equation of the line y = mx +c.

The slope of the line m_1 is 1/3.

When two lines are perpendicular the relation between these slopes is,

\rm m_1\times m_1 = {-1}\\\\\dfrac{-1}{3} \times m_2 = -1\\\\-1 \times m_2 = -1 \times 3\\\\-m_2 = -3\\\\m_2 = 3

And line contains the point (-2, -5).

Then,

\rm y = mx +c \\\\-5 = 3 (-2) + c\\\\-5 = -6+c \\\\c = 6-5 \\\\c = 1

Therefore,

The equation of the line that is perpendicular to the given line and contains the point (-2, -5) is,

\rm y = mx +c \\\\y = 3x +1

Hence, The required equation of the line is, \rm y = 3x + 1.

For more details refer to the link given below.

brainly.com/question/14388443

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Step-by-step explanation:

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The mayor of a town has proposed a plan for the construction of a new community. A political study took a sample of 800 voters i
Hunter-Best [27]

Answer:

A political strategist wants to test the claim that the percentage of residents who favor construction is more than  30%, so then that represent our claim and needs to be on the alternative hypothesis.

Based on this the correct system of hypothesis are:

Null hypothesis: p \leq 0.3

Alternative hypothesis p >0.3

Step-by-step explanation:

We have the following info given from the problem:

n= 800 the random sample of voters selected from the town

\hat p = 0.34 represent the proportion of residents favored construction

p_o = 0.30 represent the value desired to test.

A political strategist wants to test the claim that the percentage of residents who favor construction is more than  30%, so then that represent our claim and needs to be on the alternative hypothesis.

Based on this the correct system of hypothesis are:

Null hypothesis: p \leq 0.3

Alternative hypothesis p >0.3

And in order to test this hypothesis we can use a one sample z test for a population proportion and the statistic would be given by:

z=\frac{\hat p -p_o}{\sqrt{\frac{p_o (1-p_o)}{n}}} (1)  

And with the data given we have:

z=\frac{0.34 -0.3}{\sqrt{\frac{0.3(1-0.3)}{800}}}=2.469  

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3 years ago
Find the difference in length between a walking stick and a bumblebee PLS HELP HURRY​
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Length of the walking stick = 4 in

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Difference between their length

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To make the denominator same, multiply and divide the first term by 8.

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Now, change improper fraction into mixed fraction, we get

                                         $=3\frac{4}{8}

Difference between the lengths of walking stick and lengths of bumble bee is 3\frac{4}{8} inch.

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