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Fantom [35]
4 years ago
11

Question 27 Find the length of the hypotenuse. Leave answer in simplest radical form.

Mathematics
1 answer:
skelet666 [1.2K]4 years ago
6 0

Use SOHCAHTOA.  Since we are looking for the hypotenuse, you must use sine or cosine.  Since, we are given the adjacent side, use cosine.

cosx=a/h

cos45=8/h

√2/2=8/h

<em>*Cross multiply*</em>

h√2=16

<em>*Divide both sides by √2*</em>

h=16/√2

<em>*Multiply by √2/√2*</em>

h=(16√2)/2

<em>*Simplify the fraction*</em>

h=8√2

Hope this helps!!

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Answer:

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Step-by-step explanation:

Formula:

Sin ∅ = Opposite side /Hypotenuse

From the figure we can see a right angled triangle.

One angle is given, hypotenuse = 10 and height = x.

To find the value of x

sin 20 = Opposite side/hypotenuse = x/10

x = 10 * sin 20

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Therefore the value of x = 3.42

7 0
3 years ago
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kirza4 [7]
The measure of ∠1 is also <span>93° because vertically opposite angles are equal.</span>
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Answer:

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Step-by-step explanation:

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6 0
3 years ago
Please solve the following questions!!
alexandr402 [8]

Answer:

3. The missing angle is 56°

4. x = 7

Step-by-step explanation:

3.

We know sum of 3 angles in a triangle is 180°.

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85 + 35 + x = 180

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x = 180 - 120

x = 60

<u>The angle "x" and the angle that is missing from the "bottom" triangle in the figure, are vertical angles, and hence, are EQUAL.</u>

So the bottom triangle now has 2 angles, 60 and 64 (given). Let the third angle be y(the one with a question mark). So we can write:

60 + 64 + y = 180

124 + y = 180

y = 180 - 124

y= 56

This is the missing angle.

4.

10x - 5 AND 8x + 9 are vertical angles. They ARE EQUAL.

Thus we can write the equation:

(10x-5) =  (8x+9)

10x-8x=9+5

2x=14

x=14/2

x=7

So x = 7

5 0
3 years ago
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Damm [24]

Answer: X=7

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Step-by-step explanation:

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8 0
3 years ago
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