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Tems11 [23]
2 years ago
9

Find the measure of angle x. Round your answer to the nearest hundredth. (please type the numerical answer only)

Mathematics
1 answer:
Alex2 years ago
5 0

The value of x in the triangle is 28.1 degrees

<h3>How to solve for x?</h3>

The given triangle is a right triangle.

So, the relationship between the sides and angle x is:

sin(x) = opposite/hypotenuse

This gives

sin(x) = 8/17

Evaluate the quotient

sin(x) = 0.4706

Take the arc sin of both sides

x = \sin^{-1}(0.4706)

Evaluate

x = 28.1

Hence, the value of x in the triangle is 28.1 degrees

Read more about right triangles at:

brainly.com/question/2437195

#SPJ1

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5.Simplify each of the following: (i) 7sqrt(2)+5sqrt(8) (ii) 15sqrt(6)-sqrt(216) (iii) 8sqrt(45)-8sqrt(20)+sqrt(245)-3sqrt(125)​
emmainna [20.7K]

Answer:

(i)   17\sqrt{2}

(ii)  9\sqrt{6}

(iii)  0

Step-by-step explanation:

(i)  7\sqrt{2} + 5\sqrt{2}\sqrt{4} =  7\sqrt{2} +  10\sqrt{2} =  17\sqrt{2}

(ii)  15\sqrt{6} - \sqrt{216} =  15\sqrt{6} - \sqrt{36}·\sqrt{6} = 9\sqrt{6}

(iii)  8\sqrt{45}  - 8 \sqrt{20} + \sqrt{245} - 3\sqrt{125} = 8\sqrt{9}·\sqrt{5} - 8\sqrt{4}·\sqrt{5} + \sqrt{49}·\sqrt{5} - 3\sqrt{25}·\sqrt{5} =

24\sqrt{5} - 16\sqrt{5} + 7\sqrt{5} - 15\sqrt{5}  = 8\sqrt{5} - 8\sqrt{5}  = 0      

8 0
3 years ago
How do I answer this wuestion?<br> -9/12-(-7/4)=
Tema [17]
The answer is 1. just subtract the fractions and boom. answer.
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3 years ago
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I need help with 12,19, and 21
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Barb is making a bead necklace. She strings 1 white bead,then 3 blue beads,then 1 white bead,and so on. Write the numbers for th
nataly862011 [7]

The numbers for the first eight beads that are white are; 1, 5, 9, 13, 17, 21, 25, 29

<h3>Arithmetic Sequence</h3>

We are told that she strings in this order;

  • 1 white
  • 3 blue
  • 1 white bead

Now, after the first white bead, the next white bead is the 5th bead in total.

This means the difference in interval between white beads is; 5 - 1 = 4 beads

Thus, the numbers for the first eight beads that are white are;

1, (1 + 4), (1 + 4 + 4), (1 + 4 + 4 + 4).....

Thus, we have;

1, 5, 9, 13, 17, 21, 25, 29

Read more on arithmetic sequence at; brainly.com/question/7849474

8 0
2 years ago
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