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elena55 [62]
3 years ago
7

Find y. A. 63–√ B. 33–√ C. 23√3 D. 3

Mathematics
1 answer:
vagabundo [1.1K]3 years ago
5 0
<h3>Answer: D. 3</h3>

This is a 30-60-90 triangle. The shortest leg (opposite the smallest angle) is half that of the hypotenuse, so y = 6/2 = 3.

Extra info: The long leg is sqrt(3) times the short leg, so x = y*sqrt(3) = x = 3*sqrt(3)

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Mr. Brown's salary is $32,000 and it increases by 3% each year. What is the explicit rule for this sequence in simplified form?
katovenus [111]

Answer:

This is the concept of geometric series. We are required to find the recursive formula for year n. Here we will use the formula;

nth=ar^(n-1)

where;

a=first term

r=common ratio

n=nth term

Thus

a=8.50

r=(8.85)/(8.50)=1.0412

thus the formula will be:

nth=8.50(1.0412)^n

3 0
3 years ago
If 38 = 11 + 3x, what is the value of x ?
Serhud [2]

Answer:

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27=3x

27/3=x

x=9

3 0
3 years ago
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Match each of the trigonometric expressions below with the equivalent non-trigonometric function from the following list. Enter
andreev551 [17]

Answer:

Step-by-step explanation:

In each case, draw the right triangle which produces the inverse trig value. That is, label the two sides as needed, and calculate the third side.

It should be clear that

tan(sin^{-1} x/4) = x/\sqrt{16-x^{2} }

sin(tan^{-1} x/4) = x/\sqrt{16+x^{2} }

sin(2α) = 2 sinα cosα

So,

1/2 sin(2sin^{-1} x/4) = (1/2)(x/4) * x/\sqrt{16-x^2} = x^{2} /(8\sqrt{16-x^2})

See what you can do with the others.

6 0
3 years ago
Options<br> A positive <br> B negative <br> C zero<br> D undefined <br> I’ll give you brainlest
True [87]

Answer:

A

Step-by-step explanation:

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3 0
3 years ago
If 6:2:8:x, then<br> a. 2x=14<br> b. 2x=48<br> c. 6x=10<br> d. 6x=16
Annette [7]

Answer:

D) 6x=16

Step-by-step explanation:

6 : 2 = 8 : x  

=> x = 8/(6/2 )  

=> x = 8/3  

=> 6x = (8/3) * 6 = 8 * 2 = 16  

3 0
3 years ago
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