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Mice21 [21]
3 years ago
11

Find the height of the triangle.

Mathematics
2 answers:
Ierofanga [76]3 years ago
7 0

Answer:

The value of x = 3.42

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

 = 10 * 0.342 = 3.42

Therefore the value of x = 3.42

Liula [17]3 years ago
5 0

Answer:

Height of the triangle is 3.42.

Step-by-step explanation:

We have given a right angle  triangle.

In the figure, hypotenuse = 10 , angle= ∅ = 20°

We have to find height of the triangle.

We have to find the height of triangle, in the figure it is represented by x.

As it is right angle triangle we use the following formula to find the value of x.

sin ∅= hypotenuse / height

sin ∅ = 10/x

sin 20= 10/x

x = 10 × sin 20

x = 10× 0.342

x = 3.42

height of the triangle is 3.42.

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Olenka [21]

Given:

In an asteroid field, 75% of the asteroids are carbonaceous asteroids.

There are 375,000 carbonaceous asteroids in the asteroid field.

To find:

The number of asteroids that are not carbonaceous.

Solution:

Let the total number of asteroids be x.

According to question,

75\%\text{ of }x = 375000

\dfrac{75}{100}x=375000

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Divide both sides by 0.75.

x=\dfrac{375000}{0.75}

x=500000

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                                                =500000-375000

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6 0
3 years ago
For which value of x must the expression radical 71x be further simplified?
Brilliant_brown [7]

Answer:

B  32

Step-by-step explanation:

sqrt(71*x)

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A. 19   prime

B. 32    = 16*2  16 is a perfect square

C. 34    = 2*17  both of which are prime

D. 41  prime


sqrt(71) sqrt(16 *2) = sqrt(71) * sqrt(16) * sqrt(2) = sqrt(71)*4*sqrt(2)

                                                                            =4sqrt(142)

8 0
4 years ago
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Answer:

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Third time reached in,

17/34(=1/2=(50%)) chance of getting a white sock, 17/43(=1/2(50%)) chance of getting a blue sock

Regardless of what sock is picked you would have a matching pair of socks in hand

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