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arlik [135]
3 years ago
8

Find the value of x

Mathematics
1 answer:
marin [14]3 years ago
5 0

Answer:

x=14

Step-by-step explanation:

The given triangle is a right triangle, meaning it is a triangle with a right angle, this is indicated by the box around one of the angles. When given a right triangle, one can use the right triangle trigonometric ratios. These ratios describe the relationship between an angle in a right triangle, and the sides in a right triangle. Such ratios are as follows,

sin(\theta)=\frac{opposite}{hypotenuse}\\\\cos(\theta)=\frac{adjacent}{hypotenuse}\\\\tan(\theta)=\frac{opposite}{adjacent}

Bear in mind that the way one names the sides, in the sense of (opposite or adjacent) will change based on the angle one uses to describe the triangle. However, the hypotenuse is the same no matter the angle, as the hypotenuse is the side opposite the right angle.

In this case, one is given one of the angles, and the side opposite the angle. One is asked to find the hypotenuse of the triangle. One can use the sine (sin) ratio to achieve this.

sin(\theta)=\frac{opposite}{hypotenuse}

Substitute,

sin(30)=\frac{7}{x}

Inverse operations,

x=\frac{7}{sin(30)}

Simplify,

x=14

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Find the intercepts to graph the line. <br> 4x−y=−4
Murljashka [212]

Answer:

X intercept is -1

Y intercept is 4

Step-by-step explanation:

The intercepts are when the line goes through the x axis or when

the line goes through the y axis.

7 0
2 years ago
Which one is it I need to know quick and I’ll mark you Brainly
QveST [7]

Answer: i think

the corrcect answer is 0.5*10^-1

Step-by-step explanation:

hope this helps

5 0
2 years ago
Two tourists went on a hike at dawn. One went from a to b and another one went from b to a. They met at noon but did not stop an
Alecsey [184]
<span>Dawn was at 6 am. Variables a = distance from a to passing point b = distance from b to passing point c = speed of hiker 1 d = speed of hiker 2 x = number of hours prior to noon when dawn is The first hiker travels for x hours to cover distance a, and the 2nd hiker then takes 9 hours to cover that same distance. This can be expressed as a = cx = 9d cx = 9d x = 9d/c The second hiker travels for x hours to cover distance b, and the 1st hiker then takes 4 hours to cover than same distance. Expressed as b = dx = 4c dx = 4c x = 4c/d We now have two expressions for x, set them equal to each other. 9d/c = 4c/d Multiply both sides by d 9d^2/c = 4c Divide both sides by c 9d^2/c^2 = 4 Interesting... Both sides are exact squares. Take the square root of both sides 3d/c = 2 d/c = 2/3 We now know the ratio of the speeds of the two hikers. Let's see what X is now. x = 9d/c = 9*2/3 = 18/3 = 6 x = 4c/d = 4*3/2 = 12/2 = 6 Both expressions for x, claim x to be 6 hours. And 6 hours prior to noon is 6am. We don't know the actual speeds of the two hikers, nor how far they actually walked. But we do know their relative speeds. And that's enough to figure out when dawn was.</span>
8 0
3 years ago
Find the missing measure if a and b are the legs of the right triangle and c is the hypotenuse, with a = 11 and c =18.
never [62]

Answer:

\sqrt{203}

Step-by-step explanation:

1. 11^{2} + b^{2} = 18^{2}

2. b^{2} =203

3. b = \sqrt{203}

Can't be simplified.

3 0
3 years ago
Read 2 more answers
F(x)=6x-18 sub in f(x/3), f(x)/3
arlik [135]

These are two separate problems: in the first we will have to substitute in a new value for x into the original equation and in the second we will manipulate the preexisting equation for f(x).

To begin, we will sub in f(x/3). To do this, we will substitute each variable x in the equation (in this case there is only one) with x/3, and then simplify the resulting equation.

f(x) = 6x - 18

f(x/3) = 6(x/3) - 18

To simplify, we should distribute the 6 on the right side of the equation.

f(x/3) = 6x/3 - 18

Now, we can divide the first term on the right side to finalize our simplification.

f(x/3) = 2x -18

Secondly, we are asked to find f(x)/3. To do this, we will take our original value for f(x), and then simplify divide that entire function by 3.

f(x) = 6x - 18

f(x)/3 = (6x-18)/3

This means that we must divide each term of the binomial by 3, so we are really computing

f(x)/3 = 6x/3 - 18/3

We can simplify by dividing both of the terms.

f(x)/3 = 2x - 6

Therefore, your answer is that f(x/3) = 2x - 18, but f(x)/3 = 2x - 6. It is important to recognize that these are two similar, yet different, answers.

Hope this helps!


8 0
2 years ago
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