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Vilka [71]
3 years ago
8

Please answer number 1. Help!!

Mathematics
1 answer:
lara31 [8.8K]3 years ago
7 0

Answer:

<h2>40.8</h2>

Step-by-step explanation:

The formula of a distance from a point (x, y) to the origin:

d=\sqrt{x^2+y^2}

We have P(21, 35). Substitute:

d=\sqrt{21^2+35^2}=\sqrt{441+1225}=\sqrt{1666}\approx40.8

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A rectangular window measures 54 inches by 24 inches. There is an a = 14-inch wiper blade attached by a b = 5-inch arm at the ce
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It the wiper blade (and arm) made a full rotation, 2 circles would be formed.

One small circle with radius b, and a larger circle with radius a+b.


The areas of these 2 circles are respectively:

\pi b^2=\pi\cdot 5^2=25 \pi (in^2)    and

\pi (a+b)^2=\pi (14+5)^2=361\pi (in^2)


120° is 1/3 of a complete angle 360° which form a circle, so the areas formed by the arm of length b, and the arm + the wiper blade (a+b) are:

\frac{25 \pi}{3} and \frac{361\pi}{3} in squared respectively.

the actual wiped area is \frac{361\pi}{3}-\frac{25 \pi}{3}= \frac{336\pi}{3}=112\pi \approx351.7 (in squared)


Area of the window is 54*24= 1296 (in squared)

thus, the ratio of the wiped area to the whole area of the window is 351.7/1296=0.271

Converted to percentages, this is 27.1%


Answer: 27.1%

3 0
3 years ago
Monomials. Please help. I have a test<br> (m^8)^5
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Answer:

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F(x)=x+6 when x= -2, 0, and 5.
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3 years ago
An architect is designing a sandwich shop, as shown in the
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The length of both rooms is 10 meters and the width for the kitchen is 5 meters, while the one for the dining room is 9 meters.

<h3>How to find the length of the rooms?</h3>

Both rooms have the same length but different areas and different widths. This common measurement can be found using the GFC or the greatest common factor. To do this, divide each number by 1,2,3, etc., and find the greatest common number (only integers are valid).

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  • 90: 90 45 30 18 15 10 9 6 5 3 2 1

The greatest common number is 10, so 10 meters is the length of the room.

<h3>How to find the width?</h3>

Use the formula

  • A = lenght x width or width = area / lenght

Kitchen.

  • Width: 50 / 10
  • Width: 5 meters

Dining room:

  • Width: 90 / 10
  • Width: 9 meters

Note: In this question the diagram is missing; below, I attach the diagram.

Learn more about greatest common factor in: brainly.com/question/282609

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2 years ago
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Area of a parallelogram = bh

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Then find h (height):

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Multiply:

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The answer is D) 120 units^2

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