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Vika [28.1K]
3 years ago
6

Find sin 0, where is the angle shown. Give an exact value, not a decimal approximation.

Mathematics
1 answer:
Nata [24]3 years ago
3 0

Answer:

\displaystyle \sin\theta=\frac{12}{13}

Step-by-step explanation:

Recall that in a right triangle, sine is the ratio of the opposite side to the hypotenuse:

\displaystyle \sin\theta=\frac{\text{opposite}}{\text{hypotenuse}}

We are actually not given the opposite side in this case. However, since we know the hypotenuse and the adjacent side, we can use the Pythagorean Theorem to find the opposite side. So:

a^2+b^2=c^2

Let <em>a</em> be the adjacent side and <em>b</em> be the opposite side. <em>c</em> will be the hypotenuse.

Substitute:

(5)^2+b^2=(13)^2

Solve for <em>b: </em>

<em />b=\sqrt{169-25}=\sqrt{144}=12<em />

So, the opposite side measures 12.

Then sine will be:

\displaystyle \sin\theta=\frac{12}{13}

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The radius of a circle is 13miles. what is the area of a sector bounded by a 20 degree arc
Stolb23 [73]

Answer:

Area of the sector = 29.48 square miles.

Step-by-step explanation:

Given:

Radius of a circle = 13 miles

Angle bounded by the arc = 20 deg

To find

Area of the sector bounded by 20 degrees.

Note: Area of a sector = \frac{(\theta)}{360}\times \pi\times r^2

Plugging the values in the equation.

⇒ \frac{(\theta)}{360}\times \pi\times r^2

⇒ (\frac{20}{360})\times  3.14\times 13^2

⇒ 29.48 square-miles

So the area of the sector bounded by 20 degree arc is 29.48 square miles.

5 0
3 years ago
HELP WITH THE QUESTION IN THE PICTURE PLS !
SOVA2 [1]

Answer:

Step-by-step explanation:

54°

3 0
3 years ago
Read 2 more answers
Whats the answer? <br> and how did I get my answer?
Kamila [148]

Answer:

40°

Step-by-step explanation:

Angle 1 and Angle 2 are corresponding angles.

Corresponding angles are congruent, so 3x + 4 = 5x - 20

Solving 3x + 4 = 5x - 20

3x = 5x - 24

2x = 24

x = 12

Substitute angle 1

3x + 4 = 36 + 4 = 40

7 0
2 years ago
How do I find the y intercept in a fraction
Furkat [3]

ANSWER:

Both functions have the same slope

The linear equation does not have a y-intercept

The table and the grahp express an equivalent function

STEP-BY-STEP EXPLANATION:

In order to compare, we must calculate the slope of the table, knowing that the equation in its slope and intercept form is the following:

\begin{gathered} y=mx+b \\ \text{where m is the slope and b is y-intercept} \end{gathered}

The formula to calculate the slope is the following:

m=\frac{y_2-y_1}{x_2-x_1}

The points are (-6, -9/2) and (4,3), replacing:

m=\frac{3-(-\frac{9}{2})}{4-(-6)}=\frac{3+\frac{9}{2}}{4+6}=\frac{\frac{15}{2}}{10}=\frac{15}{20}=\frac{3}{4}

The slope is 3/4

Now, for b

x = 4

y = 3

m = 3/4

replacing:

\begin{gathered} 3=\frac{3}{4}\cdot4+b \\ b=3-3 \\ b=0 \end{gathered}

The equation is:

y=\frac{3}{4}x

Therefore, the true statements are:

• Both functions have the same slope

,

• The linear equation does not have a y-intercept

,

• The table and the grahp express an equivalent function

8 0
1 year ago
Solve the equation and enter the value of x below.<br> x+ (9) = -15<br> X=
Wittaler [7]

Answer:

x=-24 is the correct answer

3 0
3 years ago
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