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sweet [91]
3 years ago
13

A square barn measures 40 feet on each side.

Mathematics
1 answer:
Alborosie3 years ago
6 0

Answer:

616 sq. feet and it will be a quarter circle.

Step-by-step explanation:

A square barn measures 40 feet on each side.  A goat is attached to one corner of the barn by a rope that is 28 feet long.

See the attached diagram.

Now, A is the corner where the rope is attached.

So, the area where the goat will be able to graze in the area AEF which is nothing but a quarter circle as ∠ EAF = 90°.

So, the area of the quarter circle will be \frac{1}{4}\pi r^{2} = \frac{22 \times 28^{2} }{4 \times 7} = 616 sq. feet. (Answer)

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Suppose it takes 2 1/2 h to drive from your house to the lake at 48 mi/h. How long will your return trip take at 40 mi/h?
Y_Kistochka [10]

Answer

The distance from the house to the lake is (2.5 hr)*(48 mi/hr) = 120 miles. The rerurn trip would take (120 mi)/(40 mi/hr) = 3 hours. Distance equals rate times time, so the distance to the lake is 2 1/2 hours times 48 miles per hour.

I hope this helps

4 0
3 years ago
What is the following quotient? 2- 8sqr / 4+12 sqr
AlekseyPX

Answer: 130

Step-by-step explanation:

--> first solve sqr-->2-64/4+144

-->perform division next as per DMAS rule-->64÷4=16--> 2-16+144

--> now perform addition and subtraction-->2-16-14--> -14+144= 130

7 0
3 years ago
A poll was taken this year asking college students if they considered themselves overweight. A similar poll was taken 5 years ag
Katyanochek1 [597]

Answer:

At 5% significance level, it is statistically evident that    there is nodifference in the proportion of college students who consider themselves overweight between the two poll                                  

Step-by-step explanation:

Given that a poll was taken this year asking college students if they considered themselves overweight. A similar poll was taken 5 years ago.

Let five years ago be group I X and as of now be group II Y

H_0: p_x =p_y\\H_a: p_x \neq p_y

(Two tailed test at 5% level of significance)

                Group I            Group II              combined p

n                  270                 300                         570

favor            120                  140                          260

p                   0.4444            0.4667                   0.4561

Std error   for differene = \sqrt{\frac{0.4561(1-0.4561)}{570} } \\=0.0209

p difference = -0.0223    

Z statistic = p diff/std error =       -1.066

p value =0.2864

Since p value >0.05, we accept null hypothesis.

        At 5% significance level, it is statistically evident that    there is nodifference in the proportion of college students who consider themselves overweight between the two poll                                  

7 0
3 years ago
5y + 4(-5 + 3y) = 1 – y solve step by step please
Studentka2010 [4]
Step by step, meaning explaining the equation right and answer?
3 0
4 years ago
Read 2 more answers
Two questions
melamori03 [73]

Use PEMDAS method to execute operations in the following order:

  1. Parentheses
  2. Exponents
  3. Multiplication
  4. Division
  5. Addition
  6. Subtraction

First equation:

12 + (38 - 18)2 = 12 + 20 × 2 = 52

Second equation:

(12)2 - 6(2 - 23) = 24 - 6(-21) = 24 + 126 = 150

Hope this helps.

5 0
3 years ago
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