All categories

3 years ago

Find X, round your answer to the nearest tenth of a degree.

Mathematics

2 answers:

murzikaleks [220]3 years ago

6 0

Answer:

Step-by-step explanation:

$\text{Use sine}=\dfrac{opposite}{hypotenuse}\\\\\text{We have}\ opposite=7,\ hypotenuse=12.\\\\\text{Substitute:}\\\\\sin x=\dfrac{7}{12}\approx0.5833\\\\x\approx35.7^o\\\\/look\ at\ the\ table\ in\ the\ attachment/$

Svet_ta [14]3 years ago

3 0

Answer: X = 35.7° (approximately)

Step-by-step explanation: What we have here is a right angled triangle with two sides given. That means we can apply trigonometrical ratios to calculate any of the angles as well as the unknown side of the triangle.

The unknown angle, X shall be the reference angle in this particular question. The side that lies between the right angle and the reference angle is the adjacent, while the one facing the reference angle is the opposite. So we have the hypotenuse already, that is, the longest side, (or the side facing the right angle).

Since we have been given the opposite side (7 units) and the hypotenuse (12 units) we can conveniently apply the sine ratio, which is

Sin X = opposite/hypotenuse

Sin X = 7/12

Sin X = 0.5833

By checking with your table of values, or by using your calculator, we can now find the value of 0.5833

X = 35.65

Rounded off to the nearest tenth of a degree,

X = 35.7°

You might be interested in

The height of the tunnel at the center is 35ft, and the vertical clearance must be 21 ft at a point of 8ft from the center. Find

Zinaida [17]

Answer:

y=-0.215x^2+35

Step by Step:

Let, $h=0$ , $k=35$ , $x=8$ , $y=21$

We know that, the general equation of the parabola.

$y-k = a(x-h)^2$

$\Rightarrow y=a(x-h)^2+k .........(i)$

Substitute the value of $h, k, x, y$ in equation $(i)$ and find the value of $a.$

$21=a(8-0)^2+35$

$\Rightarrow 21=a\times 8^2+35$

$\Rightarrow 21=64a+35$

$\Rightarrow 64a=21-35$

$\Rightarrow 64a=-14$

$\Rightarrow a=\frac{-14}{65}$

$\Rightarrow a=-0.215$

Hence, the equation of the parabola is:

$y=-0.215x^2+35$

8 0

2 years ago

I will give brainliest

Angelina_Jolie [31]

Answer:

A,B,D

Step-by-step explanation:

plz mark brainliest

8 0

2 years ago

Read 2 more answers

Is there anybody who can help me with this question?please

Butoxors [25]

Answer:

the people would save 12 meters

Step-by-step explanation:

If it is a right triangle that has 45,45,90 angles, Than two side lengths would be the same, so there are two 30 meter side lengths. The path is 48 meters long, and the road would be 60 meters long (30+30), so you subtract 48 from 60, and get 12. You would save 12 meters

8 0

3 years ago

Three times the square of a nonzero number is equal to twelve times the number.

dedylja [7]

Well if you write the statement as an equation then that will get you

3*x^2 = 12x

Now we just solve. You can divide both sides by 3x and that gives you x = 4

6 0

3 years ago

A couple deposits $23,000 earning 3% annual intrest for 30 years. calculthe future value of the investment of the intrest is com

Hoochie [10]

A = 23,000(1 + .03/365)^365(30)
A = 23,000(1.000082192)^10950
The answer is $56,569 or $56,568.92

Hope this helps :)

8 0

3 years ago

Find X, round your answer to the nearest tenth of a degree.​

Find X, round your answer to the nearest tenth of a degree.