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
Dafna1 [17]
2 years ago
15

Please help for number 8 I don't understand.

Mathematics
1 answer:
Ksju [112]2 years ago
8 0

Answer:

8a. x = 16√3

8b. y = 8√3

Step-by-step explanation:

8a. Determination of the value of x

Adjacent = 24

Hypothenus = x

Angle θ = 30°

The value of x can be obtained by using cosine ratio as illustrated below:

Cos θ = Adjacent /Hypothenus

Cos 30 = 24 / x

√3/2 = 24/x

Cross multiply

x × √3 = 2× 24

x × √3 = 48

Divide both side by √3

x = 48/√3

Rationalise

x = 48/√3 × √3/√3

x = 48√3 / √3 × √3

x = 48√3 / 3

x = 16√3

8b. Determination of the value of y

Opposite = y

Adjacent = 24

Angle θ = 30°

The value of y can be obtained by using Tan ratio as illustrated below:

Tan θ = Opposite / Adjacent

Tan 30 = y / 24

1 / √3 = y /24

Cross multiply

y × √3 = 1 × 24

y × √3 = 24

Divide both side by √3

y = 24 /√3

Rationalise

y = 24 /√3 × √3/√3

y = 24 ×√3 / √3 × √3

y = 24√3 / 3

y = 8√3

You might be interested in
Simplify the expression<br> (-3+4k) - (-2+ 7k)
DedPeter [7]

Answer: −1−3k

Step-by-step explanation:

Distribute:

(−3+4k)−1(−2+7k)

(-3+4k)+{2-7k}

Eliminate redundant parentheses:

(−3+4k)+2−7k

-3+4k+2-7k

Add the numbers:

−3+4k+2−7k

−1+4k−7k

Add the same term to both sides of the equation:

−1+4k−7k

−1−3k

4 0
3 years ago
sherry and chris live in different cities. they are planning to meet in nashville, but each will need to drive several days to g
Westkost [7]

Answer:

i need to see the table lol do you have a pic?

Step-by-step explanation:

3 0
3 years ago
Given:DE and GH <br> Prove:DFE and GFH
erica [24]
this doesn’t make sense, put in a picture next time.
4 0
3 years ago
Question : 4(3x + 2) -6 x 6
Varvara68 [4.7K]

Answer:

x= 24

Step-by-step explanation:

open the bracket

4×3x =12x + 4 × 2 =8

12×+ 8-6×6

12×+ 12

x= 24

7 0
3 years ago
Read 2 more answers
A circle has a diameter with endpoints (1,6) and (-3, -6). Find its area.
mamaluj [8]

Answer:

(1,6) i think it is\lim_{n \to \infty} a_n \geq x^{2} x^{2} x^{2} \neq \neq

Step-by-step explanation:

5 0
3 years ago
Other questions:
  • Plz answer ill give brainliest i only need 3 if you answer all your a living legend
    13·1 answer
  • What is the area of DeltaSTR?
    6·2 answers
  • 30PTS only answer if you know please!
    7·1 answer
  • What are like terms in the expression?
    8·2 answers
  • The board of directors of a company knows that the probability that the carbon emission from the company’s manufacturing unit is
    6·2 answers
  • A Batch of cookies uses 3 cups of chips
    8·2 answers
  • Ming Gardens Corp., an interior design company, is solely owned by Veronica. The company has been able to achieve competitive ad
    10·1 answer
  • The total value of an investment was $305.33 after $240 was invested for 10 years compounded monthly. Find the interest interest
    11·1 answer
  • Guys PLEASE help me Asp <br><br> Give me 2 fraction mixed number word problems with answers
    5·2 answers
  • a shelf in the metro department store contains 80 colored ink cartridges for a popular ink-jet printer. seven of the cartridges
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!