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ratelena [41]
3 years ago
10

Whats the area?Answer this ASAP plz

Mathematics
2 answers:
exis [7]3 years ago
8 0

Answer:

50.24 cm

Step-by-step explanation:

Radius and Diameter:

r = d/2

d = 2r

Area of a circle:

A = πr2 = πd2/4

Circumference of a circle:

C = 2πr = πd

Circle Calculations:

Using the formulas above and additional formulas you can calculate properties of a given circle for any given variable.

Calculate A, C and d | Given r

Given the radius of a circle calculate the area, circumference and diameter. Putting A, C and d in terms of r the equations are:

A=πr2

C=2πr

d=2r

Calculate r, C and d | Given A

Given the area of a circle calculate the radius, circumference and diameter. Putting r, C and d in terms of A the equations are:

r=Aπ−−√

C=2πr=2πAπ−−√

d=2r=2Aπ−−√

Calculate A, r and d | Given C

Given the circumference of a circle calculate the radius, area and diameter. Putting A, r and d in terms of C the equations are:

r=C2π

A=πr2=π(C2π)2=πC24π2=C24π

d=2r=2C2π=Cπ

Calculate A, C and r | Given d

Given the diameter of a circle calculate the radius, area and circumference. Putting A, C and r in terms of d the equations are:

r=d2

A=πr2=π(d2)2=πd24

C=2πr=2πd2=πd

DochEvi [55]3 years ago
7 0

Answer:

that is the solution to the question

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Financial aid would cover 5,700 and you would need to pay 1,900
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3 years ago
Given the two angles:
Aleksandr [31]

Answer:

congruent, alternate exterior

Step-by-step explanation:

For the first question, the angles are congruent (they are not complementary because they dont add p to 90 degrees, and they are not supplementary because they dont add up to 180 degrees so they must be congrunet)

For the second- they are alternate exterior (i know that they are on the outisde so they are exterior)

7 0
3 years ago
Can someone help? I don't understand.
pogonyaev

Hence missing value in the solution to the equation is:(-5,2)

Step-by-step explanation:

We are given the equation:

x-5y= -15

and we need to complete the missing value in the solution to the equation

(-5,?)

Since the solution is in the form of ordered pair, so first value represent value of x and second value represents value of y i.e (x,y)

So, x= -5, Now finding y:

Putting value of x in given equation:

x-5y= -15\\-5-5y= -15\\-5y=-15+5\\-5y=-10\\y=-10/-5\\y=2

So, value of y is 2

Hence missing value in the solution to the equation is:(-5,2)

Keywords: Solving the equation:

Learn more about solving the equation at:

  • brainly.com/question/5147732
  • brainly.com/question/6075514
  • brainly.com/question/2386054

#learnwithBrainly

8 0
3 years ago
The Fish and Game Department stocked a lake with fish in the following proportions: 30% catfish, 15% bass, 40% bluegill, and 15%
vagabundo [1.1K]

Answer:

1) \chi^2 =\frac{(112-150)^2}{150}+\frac{(95-75)^2}{75}+\frac{(210-200)^2}{200}+\frac{(83-75)^2}{75}=16.313

2) p_v =P(\chi^2_{3}>16.313)=0.000978

And we got the same decision reject the null hypothesis at 5% of significance.

Step-by-step explanation:

Previous concepts

The Chi-Square test of independence is used "to determine if there is a significant relationship between two nominal (categorical) variables". And is defined with the following statistic:

\chi^2 =\sum_{i=1}^n \frac{(O-E)^2}{E}

Where O rpresent the observed values and E the expected values.  

State the null and alternative hypothesis

Null hypothesis: The distribution  is 30% catfish, 15% bass, 40% bluegill, and 15% pike

Alternative hypothesis: The distribution  is NOT 30% catfish, 15% bass, 40% bluegill, and 15% pike

The observed values are given by the table given:

Catfish =112, BAss = 95, Bluegill=210, Pike=83

Calculate the expected values

In order to calculate the expected values we can use the following formula for each cell of the table

E = \% Grand total

E_{Catfish}=500*0.3=150

E_{Bass}=500*0.15=75

E_{Bluegill}=500*0.4=200

E_{Pike}=500*0.15=75

Part 1: Calculate the statistic

\chi^2 =\frac{(112-150)^2}{150}+\frac{(95-75)^2}{75}+\frac{(210-200)^2}{200}+\frac{(83-75)^2}{75}=16.313

\chi^2 =16.313

Calculate the critical value

First we need to calculate the degrees of freedom given by:

df= (categories-1)=(4-1)= 3

Since the confidence provided is 95% the significance would be \alpha=1-0.95=0.05 and we can find the critical value with the following excel code: "=CHISQ.INV(0.95,3)", and our critical value would be \chi^2_{crit}=7.815

We can calculate also the p value:

p_v =P(\chi^2_{3}>16.313)=0.000978

And we got the same decision reject the null hypothesis at 5% of significance.

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