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ivanzaharov [21]
3 years ago
10

In order to keep a boat from drifting away, the boat is tied to a pier with a 60-foot rope. When the boat drifts as far from the

pier as the rope will allow, the rope forms a 15° angle relative to the horizontal water line.
To the nearest foot, find the maximum horizontal distance, d, that the tied-up boat can drift from the pier.

16 feet
37 feet
58 feet
62 feet
Mathematics
1 answer:
Rus_ich [418]3 years ago
6 0
The answer is C) hope this helped!
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How many pounds are equal to 400 ounces
Stella [2.4K]

Answer: 25 pounds

Step-by-step explanation:

1 pound = 16 oz

400 oz / 16 oz = 25 pounds

I am not a professional, I am simply using prior knowledge!

Note- It would mean the world to me if you could mark me brainliest!

6 0
2 years ago
100 PTS!!!!<br><br> A square office has sides that are 8 feet long. What is the office's area?
nalin [4]

Answer:

64

Step-by-step explanation:

A square has equal side measurements meaning that each side is 8. To find the area, multiply the length by the width which would be 8 * 8 = 64.

5 0
1 year ago
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How do i do 3 part a ?
WINSTONCH [101]


In general the binomial expansion is


(a+b)^n = {n \choose 0} a^0 b^n + {n \choose 1} a^1 b^{n-1} + {n \choose 2} a^2 b^{n-2} + ... + {n \choose n} a^n b^0


So in our case, because we want ascending powers of x we'll write,


(-3x + 1)^{11} =  {11 \choose 0} (-3x)^0 1^{11} + {11 \choose 1} (-3x)^{1} 1^{10} + {11 \choose 2} (-3x)^{2} 1^9  + {11 \choose 3 } (-3x)^3 1^8 + ...


We need to calculate the binomial coefficients:


{11 \choose 0}  = 1


{11 \choose 1}  = 11


{11 \choose 2}  = \dfrac{11 \times 10}{2} = 55


{11 \choose 3}  = \dfrac{11 \times 10 \times 9}{3 \times 2} = 165


(-3x+1)^{11} =  1 (-3x)^0 1^{11}  + 11(-3x)^{1} 1^{10}  + 55 (-3x)^2 1^{9}  + 165 (-3x)^3 1^8 + ...


(1-3x)^{11} =  1 -33 x + 495 3x^2 - 4455 x^3+ ...



6 0
3 years ago
What is the value of x^6+y^2x 6 +y 2 x, start superscript, 6, end superscript, plus, y, squared when x=1x=1x, equals, 1 and y=11
Scrat [10]

Try 122.

<h3 />

Step-by-step explanation:

Since <em>x</em> = 1, x^6 = 1.

Since <em>y</em> = 11, 11^2 = 121.

1 + 121 = 122.

<h3 /><h3>So, the value of <em>x</em> ^ 6 + <em>y </em>^ 2 = 122.</h3><h3 />
8 0
2 years ago
Read 2 more answers
Steffie makes a scale drawing for a crate with a scale factor of 1 to 3 the dimensions of her scale drawing are 15 inches long b
Evgen [1.6K]

Answer:

The length is 5 inches and the width is 4 inches

Step-by-step explanation:

Steffie makes a scale drawing for a crate with a scale factor of 1:3. The dimensions of her scale drawing are 15 inches long by 12 inches wide. The builder creates a scale drawing of the crate with a scale factor of 1:9. What are the dimensions of the builder's scale drawing? A. The length is 4 inches and the width is 5 inches B. The length is 45 inches and the width is 36 inches. C. The length is 5 inches and the width is 4 inches. D. The length is 36 inches and the width is 45 inches

A scale drawing is a reduced form in terms of dimensions of an original image / building / object

the scale drawing is usually reduced at a constant dimension

scale of the drawing = original dimensions / dimensions of the scale drawing

dimensions of the image steffie scaled = (15 x 3) by (12 x 3) = 45 by 36

Builders scaled image = (45 / 9) by (36 /9) = 5 by 4

8 0
3 years ago
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