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swat32
1 year ago
12

Please Help!

Mathematics
1 answer:
Alecsey [184]1 year ago
6 0

The area that the dog can wander based on the information provided will be 931π.

<h3>How to calculate the area?</h3>

From the information, we are told that the dog dog is attached to a 35-foot rope fastened to the outside corner of a fenced-in garden that measures 28 feet by 36 feet.

In this case, the dog is in an outside corner. The dog can trace 3/4 of a circle when it starts walking in a circle away form the wall.

The area that the dog can wander will be:

= 3/4(π35²) + 1/4(π(35 - 28)²)

= 3/4π(35)² + 1/4π(7)²

= (3/4 × 1225)π + (1/4 × 49)π

= 918.75π + 12.25π

= 931π

Therefore, the area that the dog can wander based on the information provided will be 931π.

Learn more about area on:

brainly.com/question/25292087

#SPJ1

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Fred, Norman, and Dave own a total of 128 comic books. If Dave owns 44 of them, what is the average
iren [92.7K]

Answer:

Mean = 42

Step-by-step explanation:

Given

Represent Fred with F; Norman with N and Dave with D.

Total = 128

D = 44

Required

Determine the arithmetic mean of F and N

First, we have that:

F + N + D = 128

Substitute 44 for D

F + N + 44 = 128

Subtract 44 from both sides

F + N + 44 - 44 = 128 - 44

F + N  = 84

Arithmetic mean of F and N is calculated as follows:

Mean = \frac{F + N}{2}

Mean = \frac{84}{2}

Mean = 42

7 0
3 years ago
Help and explain pllzz asap
Mnenie [13.5K]
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8 0
4 years ago
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Which is the best estimate for written in scientific notation?
Amiraneli [1.4K]

I'm assuming you mean which one is written properly? It would be either 3 x 10^4 or 6 x 10^4.

Hope it helps!

6 0
4 years ago
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What are expressions for MN and LN? Hint Construct the altitude from M to LN.
Nikitich [7]

The question is missing the figure. So, it is in the atachment.

Answer: MN = x\sqrt{2}  LN = \frac{x}{2}.(\sqrt{2} + \sqrt{6} )

Step-by-step explanation: The first figure in the attachment is the figure of the question. The second figure is a way to respond this question by tracing the altitude from M to LN as suggested. When an altitude is drawn, it forms a 90° angle with the base, as shown in the drawing. To determine the other angle, you have to remember that all internal angles of a triangle sums up to 180°.

For the triangle <u>on the left</u> of the altitude:

45+90+angle=180

angle = 45

For the triangle <u>on the right</u>:

30+90+angle=180

angle = 60

With the angles, use the Law of Sines, which is relates sides and angles, as follows:

\frac{a}{sinA} = \frac{b}{sinB} = \frac{c}{sinC}

For MN:

\frac{x}{sin(30)} = \frac{MN}{sin(45)}

MN = \frac{x.sen(45)}{sen(30)}

MN = x\sqrt{2}

For LN:

\frac{LN}{sen(105)} =\frac{x}{sin(30)}

LN = \frac{x.sin(105)}{sin(30)}

We can determine sin (105) as:

sin(105) = sin(45+60)

sin(105) = sin(45)cos(60) + cos(45)sin(60)

sin(105) = \frac{\sqrt{2} }{2}.\frac{1}{2} + \frac{\sqrt{2} }{2}.\frac{\sqrt{3} }{2}

sin(105) = \frac{\sqrt{2} }{4} + \frac{\sqrt{6} }{4}

LN = \frac{x.sin(105)}{sin(30)}

LN = x.(\frac{\sqrt{2} }{4} + \frac{\sqrt{6} }{4}  ) .2

LN = \frac{x}{2}.(\sqrt{2} + \sqrt{6} )

The expressions for:

MN = x\sqrt{2}

LN = \frac{x}{2}.(\sqrt{2} + \sqrt{6} )

6 0
3 years ago
Two hundred dollars is increased by 25% and the result decreased by 25%
erastova [34]

Answer:

If $200 increased by 25%, your result would be $250

If it then decreased by 25%, your result would be $187.5

Step-by-step explanation:

Multiply 200 and 25% and add 200 to get 250

Multiply 250 and 25% and then add that value to get 187.5

5 0
3 years ago
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