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
vitfil [10]
2 years ago
13

Using the provided measures determine the measure of angle K.

Mathematics
1 answer:
forsale [732]2 years ago
5 0

Answer:

B. 34.90°

Step-by-step explanation:

✔️First, find GF using Trigonometric function:

Reference angle = 58°

Adjacent length = GF

Hypotenuse = 6 cm

Apply CAH, thus:

Cos 58 = Adj/Hyp

Cos 58 = GF/6

GF = 6*Cos 58

GF = 3.17951558 ≈ 3.18 cm

✔️Find angle K using the Sine Rule:

\frac{sin(K)}{GF} = \frac{sin(G)}{KF}

Substitute

\frac{sin(K)}{3.18} = \frac{sin(64)}{5}

Multiply both sides by 3.18

sin(K) = \frac{sin(64)}{5}*3.18

sin(K) = 0.5716

K = sin^{-1}(0.5716)

K = 34.8618741° ≈ 34.90°

You might be interested in
What is the value of x?<br><br><br><br> Enter your answer in the box.<br><br> x =
polet [3.4K]
The two angles are the same value. To find, think of the equation 3<em>x</em>+50=6<em>x</em>-10. Put the 6<em>x</em> to the other side of the equation. You shall get -3x+50=-10. Move the 50 to the other side, and you'll end up with -3<em>x</em>=-60. Divide each number by -3 to find <em>x</em> now. Your final answer will be <em>x=20</em>.

Answer: <em>x=20</em>
8 0
3 years ago
BRAINLIEST !!! Can someone add me as a friend plz need to look someone up but cant till someone adds me
eimsori [14]

Answer:

I have done what you want

4 0
2 years ago
Read 2 more answers
f of x equals 4 x over quantity x squared minus 16. Show all work to identify the asymptotes and zero of the function.
yuradex [85]

Given:

The function is

f(x)=\dfrac{4x}{x^2-16}

To find:

The asymptotes and zero of the function.

Solution:

We have,

f(x)=\dfrac{4x}{x^2-16}

For zeroes, f(x)=0.

\dfrac{4x}{x^2-16}=0

4x=0

x=0

Therefore, zero of the function is 0.

For vertical asymptote equate the denominator of the function equal to 0.

x^2-16=0

x^2=16

Taking square root on both sides, we get

x=\pm \sqrt{16}

x=\pm 4

So, vertical asymptotes are x=-4 and x=4.

Since degree of denominator is greater than degree of numerator, therefore, the horizontal asymptote is y=0.

8 0
3 years ago
24 is 3 more than a number p
rewona [7]

Answer: 24 = 3 + P

Step-by-step explanation: 24 is 3 more than a number P can be represented in the equation form of 24 = 3 + P

To solve it:

3 + P = 24

3 - 3 + p = 24 -3

p = 21

7 0
3 years ago
A culture of bacteria has an initial population of 92000 bacteria and doubles every 7 hours. Using the formula P_t = P_0\cdot 2^
ludmilkaskok [199]

Answer:

im here for the a

Step-by-step explanation:

8 0
3 years ago
Other questions:
  • *PLEASE ANSWER[MULTIPLE CHOICE] FOR BRIANLIEST* (08.01 MC)
    5·1 answer
  • Which system is represented by the graph?
    10·1 answer
  • How can one sixthx − 5 = one fifthx + 2 be set up as a system of equations?
    9·2 answers
  • Kinda stuck and would like help
    7·2 answers
  • What is the area of ALP? <br> Answer in the box <br> I’ve tried but i didn’t get the right answer
    5·1 answer
  • Parker borrowed some money from his friend in order to help buy a new video game system. Parker agreed to pay the friend back so
    7·1 answer
  • 5TH GRADE LEVEL QUESTION: Look at photo and list it step by step GIVING OUT BRAINLIEST.
    14·1 answer
  • Perimeter: ____<br> Area: ____
    6·1 answer
  • Choose Yes or No to tell if the fraction 58 will make each equation true. 815−□=37 Yes □−516=58 No 78−12=□ No 34−18=□ Yes
    7·1 answer
  • Enter the range of values for x using the picture shown
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!