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olga nikolaevna [1]
3 years ago
5

Solve for theta to the nearest degree​

Mathematics
1 answer:
ozzi3 years ago
6 0

Step-by-step explanation:

So first thing is to determine which trigonometric ratio we use here. Theta is adjacent to 5 and 8 is the hypotenuse, so we should be using Cosine.

So we set up the equation

cos θ = adj/hype

cos θ = 5/8

θ = cos^{-1} (5/8)

θ=51.3178125...

θ=51°

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examine the diagram to the right then use the information provided in the diagram to find the measures of angles x , y, z. For e
sergiy2304 [10]

Answer:

Step-by-step explanation:

The letters are virtually impossible to read. I'll do my best, but recognize it is why you are not getting answers. I take y to be next to the 100 degree angle and part of the triangle.

I take x to be to the left of y. It is equal to the 28o angle because of the tranversal properties.

Finally z is the exterior angle of the triangle and as such has properties of z = y + 28 where y and 28 are remote interior angles to the triangle.

so x = 28 because of the transversal cutting the two parallel lines. They are equal by remote exterior angles of parallel lines.

y = 180 - 100 - 28 = 52

Finally z = 52 + 28 = 80 degrees because x and y add to 80 degrees.

If the assumptions are incorrect, could I trouble you to repost the diagram or correct the errors I  have made.

4 0
3 years ago
AC = BC, CP = CQ and &lt;BPQ = 20°<br>&lt;ACP = ?°​
Roman55 [17]

Answer: See attached image

Step-by-step explanation:

8 0
2 years ago
If the spherical water balloon is filled with 113 milliliters of water, what is the approximate radius of the balloon
ladessa [460]

Answer:

The approximate radius is 2.99914. Let me know if this helps you out!

Step-by-step explanation:


5 0
2 years ago
Sarah paints a straight line. The line is 13 1/2 ft long. She wants to divide the line into sections that are each 18 ft long.
Nookie1986 [14]

The number of sections made is \frac{3}{4}

<em><u>Solution:</u></em>

Given that, Sarah paints a straight line

The line is 13\frac{1}{2} feet

She wants to divide the line into sections that are each 18 ft long

To find: Number of sections

From given,

\text{Length of line } = 13\frac{1}{2} = 13.5 \text{ feet }

\text{Length of 1 section } = 18 \text{ feet }

Number of sections can be found by dividing the total length of line by length of 1 section

\text{Number of sections } = \frac{\text{Total length of line}}{\text{length of 1 section}}

Substituting the values, we get,

\text{Number of sections } = \frac{13.5}{18} = 0.75 = \frac{3}{4}

Thus number of sections made is \frac{3}{4}

6 0
3 years ago
What is -1 ⅓ × -⅖<br><br>Please explain your answer and show your work.​
lakkis [162]

Answer:

\frac{8}{15}

Step-by-step explanation:

  1. Change the mixed number into an improper fraction: -1 × 3 = -3, -3 + 1 = -2. Put -2 over 3: \frac{-2}{3}  
  2. Multiply -2/3 and -2/5: \frac{-2}{3} × -\frac{2}{5} = \frac{8}{15}  

Therefore, the answer is \frac{8}{15}.

6 0
3 years ago
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