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Keith_Richards [23]
3 years ago
13

Find x and y. Please write your answer in simplified radical form.

Mathematics
1 answer:
scoray [572]3 years ago
7 0

Answer:

see explanation

Step-by-step explanation:

Using the sine and cosine ratios in the right triangle

sin30° = \frac{opposite}{hypotenuse} = \frac{6}{y}

Multiply both sides by y

y × sin30° = 6 ( divide both sides by sin30° )

y = \frac{6}{sin30} = \frac{6}{\frac{1}{2} } = 12

---------------------------------------------------------------------------------------

cos30° = \frac{adjacent}{hypotenuse} = \frac{x}{y}

Multiply both sides by y ( y = 12 )

12 × cos30° = x

x = 12 × \frac{\sqrt{3} }{2} = 6\sqrt{3}

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3/7 of 8th graders play sports. is 3/5 of the 8th graders that play sports are boys, what fraction of the 8th graders are boys
Svetach [21]

Answer:

\dfrac{9}{35} is the fraction of 8th graders who are boys.

Step-by-step explanation:

Let total number of 8th graders = x

Given that, \frac{3}{7} of 8th graders play sports

\Rightarrow 8th graders who play sports = \frac{3}{7} \times x

Also, Given that, \frac{3}{5} of 8th graders that play sports are boys

Number of 8th graders that play sports, and are boys = \frac{3}{5} \times \text{Number of 8th graders who play sports}

\Rightarrow \dfrac{3}{5} \times \dfrac{3}{7} \times x\\\Rightarrow \dfrac{9}{35} \times x

Hence, the answer is:

\dfrac{9}{35} is the fraction of 8th graders who are boys.

6 0
3 years ago
Mhanifa can you please help? I will mark brainliest!
Rzqust [24]

Answer:

<u>Given function</u>

  • h(x) = 2x - 1

#15 Find the inverse of h(x)

<u>Substitute x with y and h(x) with x and solve for y:</u>

  • x = 2y - 1
  • 2y = x + 1
  • y = 1/2x + 1/2

<u>The inverse is:</u>

  • h⁻¹(x) = 1/2x + 1/2

#16 The graph with both lines is attached.

The x- and y-intercepts of both functions have reversed values.

#17 Table of the inverse function  will contain same numbers with swapped domain and range.

<u>Initial look is like this:</u>

  • <u>x        |  -3  |  -2  | -1  |  0  |    1  |  2  | 3</u>
  • h⁻¹(x)  |  -1   |       | 0   |      |    1  |      | 2

<u>The rest of the table is filled in by finding the values:</u>

  • <u>x        |  -3  |  -2    | -1  |  0   |  1  |  2   | 3</u>
  • h⁻¹(x)  |  -1   | -0.5 |  0  | 0.5 |  1  | 1.5 | 2

7 0
3 years ago
What is the total amount for an investment of $1600 invested at 4.25% for 20 years and compounded continuously?
galina1969 [7]

Answer:

  $3743.43

Step-by-step explanation:

The amount is given by the formula ...

  A = Pe^(rt)

where P is the principal, r is the annual rate compounded continuously, and t is the number of years. Filling in the values, we get ...

  A = $1600·e^(0.0425·20) = $1600·e^0.85

  ≈ $1600·2.33964685 ≈ $3743.43

The amount in the account will be $3743.43.

5 0
3 years ago
PLZ ONLY HELP IF UR 100% SURE !!!
Zigmanuir [339]

1. 48,000

2. 50%

3. 1,500, week 5

6 0
3 years ago
PLS HELP 30 POINTS URGENT!!!!!!!
Fudgin [204]

Answer:

40x = 1800 +25x

Step-by-step explanation:

3 0
3 years ago
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