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
liberstina [14]
2 years ago
12

PLEASE HELP ASAP ILL GIVE BRAINLIEST!!!!!find measure of arc MK​

Mathematics
1 answer:
Gwar [14]2 years ago
6 0

Answer:

Arc length MK = 15.45 units (nearest hundredth)

Arc measure = 58.24°

Step-by-step explanation:

Calculate the measure of the angle KLN (as this equals m∠KLM which is the measure of arc MK)

ΔKNL is a right triangle, so we can use the cos trig ratio to find ∠KLM:

\sf \cos(\theta)=\dfrac{A}{H}

where:

  • \theta is the angle
  • A is the side adjacent the angle
  • H is the hypotenuse (the side opposite the right angle)

Given:

  • \theta = ∠KLM
  • A = LN = 8
  • H = KL = 15.2

\implies \sf \cos(KLM)=\dfrac{8}{15.2}

\implies \sf \angle KLM=\cos^{-1}\left(\dfrac{8}{15.2}\right)

\implies \sf \angle KLM=58.24313614^{\circ}

Therefore, the measure of arc MK = 58.24° (nearest hundredth)

\textsf{Arc length}=2 \pi r\left(\dfrac{\theta}{360^{\circ}}\right) \quad \textsf{(where r is the radius and}\:\theta\:{\textsf{is the angle)}

Given:

  • r = 15.2
  • ∠KLM = 58.24313614°

\implies \textsf{Arc length MK}=2 \pi (15.2)\left(\dfrac{\sf \angle KLM}{360^{\circ}}\right)

\implies \textsf{Arc length MK}=\sf 15.45132428\:units

You might be interested in
For every 12 slices of pizza sold at Ping's Pizza Shop,
kaheart [24]

Answer:

3:5 Is the ratio because there are five pieces of cheese.

Step-by-step explanation:

If there are 12 pieces, then you can add 4 and 3 together and get 7 and then you can take 7 from 12 and get 5 which is how many cheese pieces there are. Now you know that there are 3 slices of pepperoni and 5 pieces of cheese. Therefore the ratio is 3:5.

6 0
3 years ago
There is a bag with 6 marbles. Three marbles are blue, 2 are red and 1 is green. What is the probability that you will randomly
Dominik [7]

Answer:

Mike is not correct.

Step-by-step explanation:

The probability is an "out of" statement. meaning out of all 6 marbles if 2 are red how what is the probability of choosing a red marble the answer is 2 out of 6 or 1/3 or 0.3333333etc. For green the probability is 1 out of 6 or 1/6 or 0.16666666etc

8 0
3 years ago
Solve for x . Leave your answer in the simplest form
Alisiya [41]

Hello!

Here we are given a composite shape, meaning that we can divide this shape up into ways that we are given formulas to solve for legs and such.

I can see here that this can be divided into a triangle and a rectangle using a horizontal line.

The leg lengths of this triangle would be 9, because it is congruent to the bottom side of the rectangle, and 7, because it is the left side minus the right side.

This would also make a right triangle, meaning we could solve for the hypotenuse utilizing the Pythagorean Theorem.

a^2+b^2=c^2

6^2+7^2=c^2

36+49=c^2

c^2=85

c=\sqrt{85}

Which is in simplest radical form.

Hope this helps!

3 0
3 years ago
7. Find the length of HP.<br> 12<br> P<br> 9<br> H
bearhunter [10]

Step-by-step explanation:

hope it is helpful to you

4 0
3 years ago
Read 2 more answers
which product will result in a sum or difference of cubes? (x 7)(x2 – 7x 14) (x 8)(x2 8x 64) (x – 9)(x2 9x 81) (x – 10)(x2 – 10x
Alina [70]
Hello,
++++++++++++++++++++++++
Answer C
++++++++++++++++++++++++

x^3+7^3=(x+7)(x²-7x+49) A: False (+14)
x^3+8^3=(x+8)(x²-8x+64) B:False  (+8x)
x^3-10^3=(x-10)(x²+10x+100) D:False (-10x)


6 0
3 years ago
Read 2 more answers
Other questions:
  • What is 8 ninths plus 7 fifteenths
    9·1 answer
  • Need help please.
    13·1 answer
  • Please help ASAP please please
    15·2 answers
  • I need help on this question if someone can help me that would be great
    6·2 answers
  • Simplify 12^3/12^7<br> A. 12^4<br> B 1/12^4<br> C 1/12^-4<br> D 12^10
    9·2 answers
  • 2.)---------------------------------------------------------------------------
    6·1 answer
  • Factor f(x) = (x³-x²)(3x+3)
    10·1 answer
  • ASAP PLEASE HELP WILL MARK AS BRAINLIST HELP
    15·1 answer
  • A total of 356 tickets were sold for the school play. They were either adult tickets or student tickets. The number of student t
    15·1 answer
  • How to round 831,756 nears hundred thousand
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!