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artcher [175]
1 year ago
11

Triangle X Y Z is shown. Angle X Z Y is 90 degrees and angle X Y Z is 41 degrees. The length of Z X is 22.

Mathematics
1 answer:
skad [1K]1 year ago
8 0

The equation that could be used to solve for the length of XY is XY = 22/sin(41)

<h3>What is an equation?</h3>

An equation is an expression that shows the relationship between two or more variables and numbers.

Sine rule is used to show the relationship between the sides and angles of a trinagles.

Using sine rule on triangle XYZ:

XY / sin(Z) = XZ / sin(Y)

XY / sin(90) = 22/sin(41)

XY = 22/sin(41)

The equation that could be used to solve for the length of XY is XY = 22/sin(41)

Find out more on equation at: brainly.com/question/2972832

#SPJ1

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66 times 88 divided by 6
nikklg [1K]

Answer:

your answer is 968

Step-by-step explanation:

66 times 88 equals 5808 divided by 6 equals 968

6 0
3 years ago
Read 2 more answers
Need help with this question, much appreciated.
taurus [48]

Answer:

75 degrees

Step-by-step explanation:

1. Find angle J.

The outside angle and angle J are supplementary, which means they add up to 180 degrees.

180 - 130 = 50.

So angle J is 50 degrees.

2. The angles in a triangle add up to 180. Add up angles J and K and subtract that from 180

50 +65 = 105

180- 105 = 75

8 0
3 years ago
In this situation, simple interest is calculated yearly how much was earned. $5500; time: 8 years; interest rate 2.5% interest?
bija089 [108]
With in 8 years should have made 1,760,000 with the interest rate
8 0
3 years ago
Use the diagram of the right triangle above and round your answer to the nearest hundredth.
Svetlanka [38]

Option a: 17.32 \ {m} is the length of b

Explanation:

The angle of B is \angle B=60^{\circ} and a=10 \ m

We need to determine the length of b.

First, let us determine the angle of A.

Since, ABC is a triangle, then all the angles add up to 180°

Thus, we have,

\angle A+\angle B+\angle C=180^{\circ}

\angle A+60^{\circ}+90^{\circ}=180^{\circ}

       \angle A+150^{\circ}=180^{\circ}

                   \angle A=30^{\circ}

Thus, the angle of A is \angle A=30^{\circ}

Now, we shall determine the length of b using the sine law formula.

The formula for sine law is given by,

\frac{a}{\sin A}=\frac{b}{\sin B}

where a=10 \ m , \angle A=30^{\circ} , \angle B=60^{\circ}

Thus, we have,

\frac{10}{\sin 30}=\frac{b}{\sin 60}

Simplifying, we get,

\frac{10}{0.5}=\frac{b}{0.866}

Multiplying both sides by 0.866, we get,

\frac{10\times0.866}{0.5}=b

Multiplying the numerator, we have,

\frac{8.66}{0.5}=b

Dividing, we get,

17.32=b

Thus, the length of b is b=17.32 \ m

Hence, Option a is the correct answer.

7 0
3 years ago
There were 80 runners to start a race. In the first half of the race, 1/4 of them dropped out. In the second half of the race, 2
IgorLugansk [536]

Answer:

36 runners finished the race.

Step-by-step explanation:

In the first half of the race, 1/4 of them dropped, so we need to calculate 1/4 of 80:

(1/4) * 80 = 80/4 = 20

If 20 runners dropped out, now we have 80 - 20 = 60 runners.

Then, in the second half, 2/5 of the remaining runners dropped out, so:

(2/5) * 60 = 2*60/5 = 120/5 = 24

If 24 runners dropped out, now we have 60 - 24 = 36 runners.

So, 36 runners finished the race.

7 0
3 years ago
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