1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
VARVARA [1.3K]
2 years ago
12

Unit 8 right triangles and trigonometry homework 2 answers key.

SAT
1 answer:
OlgaM077 [116]2 years ago
5 0
<h3>Unit 8 right triangles and trigonometry homework 2 Correct Responses;</h3>
  1. x = 13, y = 2·√13
  2. x = 15·√2 = y
  3. x = 6, y = 3·√3
  4. y = 17, x = 17·√3
  5. x = y = 10
  6. x = 50, y = 25
  7. x = 2·√7 = y
  8. x = 16·√3, y = 8·√3
  9. x = 11·√3, y = 33
  10. y = 2·√6, x = 3·√2
  11. x = √(10), y = 2·√5
  12. y = 8·√7, x = 4·√7
  13. x = 17·√3, z = 34·√3, y = 34·√6
  14. x = 18·√3, y = 18, z = 9
  15. x = 14·√2, y = 14, z = 14·√3
  16. x = 8·√3, y = 12·√2 = z
  17. z = 39·√2, x = 22·√3, y = 11·√3
  18. z = 10·√2, y = \dfrac{10 \cdot \sqrt{6} }{3},  x= \dfrac{20 \cdot \sqrt{6} }{3}
  19. y = 12, x = 6, z = 12·√2
  20. z = 10·√3, x = 20·√3, y = 30
  21. Perimeter = 24·√5
  22. Perimeter = 64·√2
  23. Length of the ramp = 6.25 feet
  24. Speed = 106.1 feet/s

<h3>Method by which the above responses are obtained;</h3>

1. An acute angle of the right triangle = 45°

Length of the legs are equal; x = 13

y = <u>2·√13</u>

2. ∠45°

x = y

√2·x = 30

x = 30 ÷ √2 =<u> 15·√2</u> = y

3. An acute angle of the right triangle = 60°

Therefore;

  • x = 3 × 2 =<u> 6</u>

6·√3 = 2·y

  • y =<u> 3·√3</u>

4. Interior angle = 30°

y = 34 ÷ 2 = 17

34·√3 = 2·x

x = <u>17·√3</u>

5. Interior angle = 45°

x = y =<u> 10</u>

6. ∠60°

x·√3 = 2 × 25·√3

x = <u>50</u>

y =<u> 25</u>

7. 45°

x·√2 = 2·√14

x = √2 × √14 = √28 =<u> 2·√7 </u>= y

8. ∠30°

x·√3 = 2 × 24

x = √3 × 2 × 8 =<u> 16·√3</u>

y = <u>8·√3</u>

9. ∠60°

x = <u>11·√3</u>

22·√3 × √3 = 2 × y

y =<u> 33</u>

10. ∠30°

y =<u> 2·√6</u>

2·√6 × √3 = 2·x

x = √(18) = <u>3·√2</u>

11. ∠45°

x = √(10)

y = √(10)·√2 = √(20) =<u> 2·√5</u>

12. ∠60°

y·√3 = 2 × 4·√(21)

y =<u> 8·√7</u>

x = <u>4·√7</u>

13. ∠30°

<u>17·√3 </u>= x

∠45°

Common side = <u>34·√3</u> = z

y = 34·√3 × √2 = <u>34·√6</u>

14. ∠60°

x·√3 = 2 × 27

x = 2 × 9·√3 = <u>18·√3</u>

Common side = 9·√3

y·√3 = 2 × 9·√3 = 18·√3

y = <u>18</u>

z = <u>9</u>

15. ∠45°

x = <u>14·√2</u>

Common side = 28

∠30°

y = <u>14</u>

28·√3 = 2×z

z = <u>14·√3</u>

16. ∠30°

x = <u>8·√3</u>

16·√3 × √3 = 2 × Common side

Common side = 24

∠45°

y·√2 = 24

<u>y = 12·√2 = z</u>

17. ∠45°

z = <u>39·√2</u>

∠60°

x·√3 = 39 × 2

x = <u>22·√3</u>

y =<u> 11·√3</u>

18. ∠45°

z·√2 = 20

z = <u>10·√2</u>

y·√3 = 10·√2

y = 10·√2 ÷ √3 = 10·√6/3 = \dfrac{10 \cdot \sqrt{6} }{3}

\underline{x= \dfrac{20 \cdot \sqrt{6} }{3}}

19. ∠60°

a×√3 = 6·√3 × 2

a =<u> 12 = y</u>

<u>x = 6</u>

<u>z = 12·√2</u>

20. ∠45°

z·√2 = 10·√6

<u>z = 10·√3</u>

<u>x = 20·√3</u>

y×2 = 60

<u>y = 30</u>

21. ∠60°

s×√3 = 2 × 4·√15

<u>Perimeter = 3 × 8 × √ 5 = 24·√5</u>

22. ∠45°

s·√2 = 28

<u>Perimeter = 4 × 14·√2 = </u>64·√2

23. Length of the ramp = 2 × 37.5 inches = 75 inches = <u>6.25 feet</u>

24. Speed = 90·√2ft./(1.2 s) = <u>106.1 feet/s</u>

Learn more about right triangles here:

brainly.com/question/2437195

You might be interested in
What are the coordinates of the roots of the equation x^2+4x+3=0.
aleksklad [387]

Answer:Solving the quadratic equation, the coordinates of the roots are: (-1,0) and (-3,0)

The quadratic equation given is:

Which has coefficients .

Now, we find the solutions:

 

The coordinates of the roots are  and , as a root is a value of x when y = 0, thus, in the problem, (-1,0) and (-3,0).

A similar problem is given at brainly.com/question/13729358

Explanation:

5 0
2 years ago
Gavin’s gross pay is $3851. His deductions total $756. 72. What percent of his gross pay is take-home pay? 20% 24% 80% 82%.
Arte-miy333 [17]

Answer:

Percentage of his gross pay which is take-home pay is 80.35%.

Explanation:

5 0
2 years ago
A grocery store is selling 6 cans of cat food for $3. Write and solve a multiplication equation to find the cost of a can of cat
inn [45]

Answer:

A

Explanation:

4 0
3 years ago
Read 2 more answers
Magnesium chloride is a salt formed with ionic bonds
mrs_skeptik [129]
FORMED WITH IONIC BONDS OF MAGNESIUM WITH A CHARGE OF 2+AND CHLORINE WITH A CHARGE OF -1
8 0
2 years ago
On a coordinate plane, 2 triangles are shown. Triangle 1 has points at A (negative 3, 4), B (negative 2, 1), C (negative 4, 1).
Gre4nikov [31]

Answer:

b: +7, -6

Explanation:

no

6 0
2 years ago
Read 2 more answers
Other questions:
  • In the US milk is sold by the gallon, while in Denmark it is sold by the liter. How many liters of milk would you need to equal
    12·1 answer
  • state five different ways in which SATourism promotes tourism development and growth in south Africa as a destination of choice
    9·1 answer
  • The hardest question ever. in SatMath. please help me
    5·1 answer
  • Which statements are true about routers? check all that apply.
    14·1 answer
  • Graph the image of the given triangle after a rotation of 180º about the origin. Select the Polygon tool. Click the points of th
    14·1 answer
  • A binary number is to be transformed by appending three 0s to the end of the number. For example, 11101 is transformed to 111010
    8·1 answer
  • The table shows the heights of players in a basketball team.
    12·2 answers
  • The area of a rectangle whose width is 5 less than its length.
    8·1 answer
  • In the future, jennifer could use a budget to help her better manage her money and live within her means. Which is not a fixed e
    15·1 answer
  • How many aluminum atoms are there in 3.50 grams of al2o3?
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!