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svet-max [94.6K]
2 years ago
15

Someone pls help :(

Mathematics
1 answer:
irga5000 [103]2 years ago
5 0
The answer is . . .
c= 25.9

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Find sin 0, where is the angle shown.<br> Give an exact value, not a decimal approximation.
Nata [24]

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}

3 0
3 years ago
Given the similarity statement<br> AJKL ANOP, what's the<br> corresponding side of ON ?
levacccp [35]

Answer:

ON = KJ

Step-by-step explanation:

JKL = NOP

We know the angles match

<J = <N

<K = <O

< L = <P

And we know

JK = NO

KL =  OP

JL = NP

We are looking for ON = KJ

5 0
3 years ago
Read 2 more answers
Simplify the midpoint of PR.<br> Q (2b, 2c)<br> R (2a+2b, 2c)<br> Pl(0,0)<br> S (2a, 0)
Tomtit [17]

Answer:

The midpoint of PR is;

(a + b, c)

Step-by-step explanation:

Here, we want to get the coordinates of the midpoint of PR

To get these, we make use of the midpoint formula

Mathematically, that will be;

(x,y) = (x1+y1)/2, (x2+y2)/2

(x1,y1) = (0,0)

(x2,y2) = (2a+2b, 2c)

The midpoint is thus;

(2a+2b)/2 , 2c/2

= (a + b, c )

4 0
3 years ago
∠A and ∠B are vertical angles. If ∠A=8x+14 and ∠B=2x+50, what is m∠B?
Maslowich

Answer:

∠B = 62°

Step-by-step explanation:

Because ∠A and ∠B are vertical angles they are equal hence we can write

∠A = ∠B

8x + 14 = 2x + 50

Now we have to solve for x

To do so, subtract 2x on both sides of the equation:

6x + 14 = 50

Now, subtract 14 on both sides of the equation

6x = 36

Now, divide 6 on both sides of the equation

x = 6

To find m∠B you have to you have to plug in x = 6 back into the ∠B equation

∠B = 2(6) + 50

∠B = 62°

4 0
3 years ago
What is the smallest whole number that is a multiple of 5, 9, and 12?
Marianna [84]

Answer:180

Step-by-step explanation:

you start by finding the prime factorization of the number

5=1*5

9=3*3

12=2*2*3

the shortest way to find the factors is to find is most of them like example, at max, there are 2 two's, 2 three's and 1 five then you multiply them all together

4*9*5=180 and that's the answer

7 0
3 years ago
Read 2 more answers
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