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topjm [15]
2 years ago
14

Find m∠U. Write your answer as an integer or as a decimal rounded to the nearest tenth.

Mathematics
1 answer:
nataly862011 [7]2 years ago
6 0

Answer:

Answer:

50.2

Step-by-step explanation:

ut =  \sqrt{ {6}^{2}  +  {5}^{2} }   \\  \sqrt{36 + 25}  \\  \sqrt{61 }  \\ using \: cosine \: rule \\ cos \: u =  \frac{ {5}^{2} + 61 - 36 }{2 \times 5 \times  \sqrt{61} }  \\  \\  =  \frac{25 + 61 - 36}{78}  \\  \\  = \frac{50}{78 }  \\  \cos \: u = 0.64 \\ m \:u = 50.2

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8. Mohan wants to buy a trapezium shaped field.
mojhsa [17]

Answer:

<em>The length of the side along the river is 140 m</em>

Step-by-step explanation:

<u>Equations</u>

To solve the problem, we need to recall the area of a trapezium is:

\displaystyle A=\frac{b1+b2}{2}.h

Where b1 and b2 are the lengths of the parallel sides and h is the height of the trapezium.

The field to be bought by Mohan has a trapezium shape with a side along the road of side x and a side along the river of side 2x, as stated in the problem.

Knowing the height is h=100 m, and the area is 10500 m2:

\displaystyle \frac{x+2x}{2}\cdot 100=10500

Simplifying:

\displaystyle (3x)\cdot 50=10500

150x=10500

Dividing by 150:

x = 10500 / 150 = 70

x = 70 m

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The length of the side along the river is 140 m

8 0
2 years ago
What type of symmetry does this figure have?
BARSIC [14]
Rotational symmetry. Because you can rotate it and put a line through it and it would all look the same
4 0
3 years ago
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(−9a+4b)^2 10000 Points for Brainliest Answer!!!!
photoshop1234 [79]

Answer:

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Step-by-step explanation:

4 0
3 years ago
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Answer:

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b) 9000 ft-lb

Step-by-step explanation:

Equation for the work:

The equation for the work done is given by:

W = Fd

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The work done in both cases is of 9000 ft-lb, as the work is not a function of time.

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3 years ago
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professor190 [17]
Solution D 

Just put into a calculator 

Hope I helped :)

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