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otez555 [7]
3 years ago
6

Find the value of x, rounded to the nearest tenth.

Mathematics
1 answer:
V125BC [204]3 years ago
7 0

Answer:

x=6.2

Step-by-step explanation:

So to find this we can use the trignometric function sin(Θ):

Perpendicular = x

Hypotonuse = 18

Θ = 20°

sin(Θ) = \frac{Perpendicular}{Hypotonuse}

Substituting our values we get:

Sin(20°) =\frac{x}{18}

Using a calculator we get:

0.34202 = \frac{x}{18}

x=0.34202*18

x=6.15636

So rounding that to the nearest tenth :

x=6.2

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A horse takes 3 steps to walk the same distance for which a goat takes 4 steps. Suppose 1 step of the dog covers 1/2 of a metre.
almond37 [142]

Answer:

The goat would cover <u>9 meters</u> in taking 24 steps.

Step-by-step explanation:

<u><em>There is a mistake in the question so the correct question is below:</em></u>

A horse takes 3 steps to walk the same distance for which a goat takes 4 steps. Suppose 1 step of the horse covers 1/2 of a metre. How many metres would the goat cover in taking 24 steps?

Now, to find the meters goat cover in taking 24 steps.

As 1 step of horse covers =  \frac{1}{2} \ meter.

So, 3 step of horse covers = \frac{1}{2} \times 3 =\frac{3}{2} =1.5\ meters.

<u><em>Thus, 3 steps of horse covers = 1.5 meter</em></u><em>s.</em>

<em>As given, the horse takes 3 steps to walk the same distance for which a goat takes 4 steps.</em>

<u><em>So, the distance covers by goat in 4 steps = 1.5 meters.</em></u>

Now, to get the meters goat cover in taking 24 steps by using unitary method:

If, the distance cover by the goat in 4 steps = 1.5 meters

So, the distance cover by the goat in 1 step = \frac{1.5}{4}

Thus, the distance cover by the goat in 24 steps = \frac{1.5}{4}\times 24

= \frac{36}{3}

= 9\ meters.

Therefore, the goat would cover 9 meters in taking 24 steps.

8 0
2 years ago
The sum of two consecutive odd integers is<br> - 108. Find the two integers.
Ulleksa [173]

Answer:

-55 and -53

Step-by-step explanation:

5 0
2 years ago
Please answer 3 question I will mark as brainlest
Vlad1618 [11]

Answer:

The mode is 7

Step-by-step explanation:

5 0
3 years ago
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1) What is the ratio of out-of-state fans attending the game to local fans?
arsen [322]

Answer:

b

Step-by-step explanation:

4 0
2 years ago
William bought some tickets to see his favorite singer. He bought some adult tickets and some children tickets, for a total of 1
Viefleur [7K]
Hello!

Let 'a' stand for adult tickets and 'c' for children tickets.

a + c = 15

(Both adult and children tickets make up a total of 15 tickets).

30a + 20c = 330

a = 3

c = 12

A N S W E R:

William bought 3 adults tickets and 12 children's tickets.

5 0
3 years ago
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