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stiv31 [10]
4 years ago
12

Find the indicated side of the triangle !!!

Mathematics
2 answers:
babymother [125]4 years ago
7 0

Answer:

b = 6

Step-by-step explanation:

The above questions is trigonometry where hypothenus = 12; opposite = b; and adjacent = a. Applying SOHCAHTOA principle, the appropriate is

Sine = opposite/hypothesis, since we are to find the value of b. Thus,

Sine 30 = b/12

0.5 =b/12

By cross multiplying,

b = 0.5 × 12

b = 6

maks197457 [2]4 years ago
5 0

Answer:

<u>The correct answer is b = 6 √3 units</u>

Step-by-step explanation:

Let's recall that we can use the following ratio for the sides of a 90 - 60 - 30 triangle:

1 : √3 : 2, where 2 is the hypotenuse.

Upon saying that, we have that in our triangle:

Hypotenuse = 12 units

a = 6 units

b = 6 √3 units

<u>The correct answer is b = 6 √3 units</u>

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artcher [175]

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3 years ago
Compute a value for t that satisfies the equation below. "-2/3" t - 2 = - 3
Dima020 [189]

Answer:

t = 3/2

Step-by-step explanation:

Instead of randomly guessing values of "t" that will satisfy the equation, you can easily find the correct value by solving the equation in terms of "t". In other words, you can set the equation equal to "t" to find the final answer.

(-2/3)t - 2 = -3                             <----- Original equation

(-2/3)t = -1                                   <----- Add 2 to both sides

t = 3/2                                        <----- Divide both sides by -2/3

You can check this value by plugging it into "t" and determining whether both sides of the equations will be equal.

(-2/3)t - 2 = -3                            <----- Original equation

(-2/3)(3/2) - 2 = -3                      <----- Plug 3/2 into "t"

-6/6 - 2 = -3                               <----- Multiply -2/3 and 3/2

-1 - 2 = -3                                    <----- Simplify -6/6

-3 = -3                                        <----- Subtract

6 0
2 years ago
Avery and Caden have saved $27,000 towards a down payment on a house. They want to keep some of the money in a bank account that
AfilCa [17]

Answer:

They should put $6750 in the bank account and $20,250 in the stock fund.

Step-by-step explanation:

Consider the provided information that Avery and Caden have saved $27000.

Let <em>x</em> is the money deposit in the bank and <em>y</em> is the money deposit in stock fund.

Therefore,

<em>x</em> + <em>y</em> = 27000

<em>x</em>  = 27000 - <em>y</em>

The bank account will pay 2.4% annual interest.

\frac{2.4}{100}x+x=1.024x

Stock fund pays 7.2% annual interest.

\frac{7.2}{100}y+y=1.072y

Therefore,

1.024 <em>x</em> + 1.072 <em>y</em> = 1.06 × 27000

Substitute the <em>x</em>  = 27000 - <em>y</em> in above equation.

1.024 (27000 − <em>y</em>) + 1.072 <em>y</em> = 1.06 × 27000

27648 − 1.024 <em>y</em> + 1.072 <em>y</em> = 28620

0.048 <em>y</em> = 28620-27648

0.048 <em>y</em> = 972

<em>y</em> = 20250

Now, substitute the <em>y</em> = 20250 in <em>x</em>  = 27000 - <em>y</em>.

<em>x</em> = 27000 − 20250

<em>x</em> = 6750

Hence, they should put $6750 in the bank account and $20,250 in the stock fund.

7 0
4 years ago
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