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

Mathematics

1 answer:

AleksAgata [21]2 years ago

3 0

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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Use the elimination method to solve the system of equations. Choose the correct ordered pair.

kiruha [24]

5x+3y=58
5x-3y=22
(3y gets cancelled bc 3y-3y=0, then add 5x with 5x, so you're left with)
10x=80, (divide both sides by 10)
x=8
Now we look for y. So choose one formula from the two (let's say 5x + 3y=58)
Substitute x for 8 so it will look like---- 5(8)+3y=58
Multiply 5*8--- so you get -- 40+3y=58
Subtract 40 from both sides and you're left with 3y=18
divide both sides by 3
you get y=6
In conclusion, x=8 and y=6 hence, (8,6)

5 0

2 years ago

Read 2 more answers

Please help I’m honestly gonna cry lol

BARSIC [14]

Answer: 2z-15

Step-by-step explanation

Based on the visual image, AD is a line where a point O intersects somewhere on the line. AD is represented as 3z-11, while the segment from AO is represented as z+4.

In order to find the answer, we must subtract the entire line (AD) from AO in order to find the missing segment OD.

AD - AO = OD

(3z-11) - (z+4) = OD

Distribute the negative sign so it becomes:

(3z-11) -z - 4 = OD

Now combine like terms.

(3z-z) +(- 11 -4)= OD

2z - 15 = OD

And that is your answer!