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
inysia [295]
3 years ago
14

Solve this pls. WILL AWARD BRAINLIEST TO BEST ANSWER!!!!!

Mathematics
1 answer:
telo118 [61]3 years ago
4 0

Answer: 31.18

Step-by-step explanation:

The problem is focused on mainly the right triangle made up of points M, Q, and R.  This problem can be solved with the base formula, <em>b</em> = <em>a</em> · tan(β) where <em>a</em> = the length of line MR, β = m∠MQR, and <em>b</em> is the unknown length of RQ.  

Given:

RQ = 18 · tan(60°)

Point M is the midpoint of line PM and line MR.  Since MP is equal to 18, MR has to be 18 as well.  This means that the value of <em>a</em> is 18.

The vertex of ∠MQR is Q, which is 60°.

Step 1: Find the tangent of 60°

The tangent of 60° is √3

Step 2: Solve

RQ = 18 · √3

18 · √3 = 31.18

RQ is equal to 31.18

You might be interested in
Prove the identity.<br> secx- cos x = sin x tan x
Mandarinka [93]

Answer:

LHS = RHS

Step-by-step explanation:

\sec(x)  -  \cos(x)  \\  =  \frac{1}{ \cos(x) }  -  \cos(x)  \\  =  \frac{1 -  { \cos(x) }^{2} }{ \cos(x) }

Since

{ \sin(x) }^{2}  +  { \cos(x) }^{2}  = 1 \\ 1 -  { \cos(x) }^{2}  =  { \sin(x) }^{2}

Therefore,

\frac{1 -  \ { \cos(x) }^{2} }{ \cos(x) }   \\ =  \frac{  { \sin(x) }^{2} }{ \cos(x) }  \\  =   \frac{ \sin(x )  \times  \sin(x) }{ \cos(x) }  \\  =  \sin(x)  \tan(x)

Therefore LHS = RHS

8 0
4 years ago
Solve equation if 0 degrees is less than or even to x which is less than or equal to 360 degrees
Elena L [17]

Answer:

x = 60°

Step-by-step explanation:

Use special triangles.

Starting with an equilateral triangle (all angles at 60°) with the side length of 2. Drop an altitude from one of the vertices to cut in half and make a right - triangle.

The hypotenuse length is 2. The base length, because it was cut in half, is 1. The height can be found with the Pythagorean theorem, which is √3.

The ratio for tangent is opposite over adjacent.

Since √3 = √3 / 1, the angle must be the one as marked in the picture.

Remember this triangle came from an equilateral triangle, so that angle is 60°. It was not cut in half, unlike the top angle which is 30°.

7 0
3 years ago
Simplify this expression. If it is already simplified, then write it as it is.
kirill [66]

Answer:

18x^5 +28x^2

Step-by-step explanation:

20x^2 + 14x^5 + 8x^2 + 4x^5

Combine like terms

20x^2  + 8x^2 + 4x^5+ 14x^5

28x^2 + 18x^5

We usually write the highest power term first

18x^5 +28x^2

7 0
4 years ago
Solve the equation 5/7 (x-9)=25
Stells [14]

Answer:

X=44

Step-by-step explanation:

8 0
3 years ago
What is the domain of F(x)=9-x??<br> F F(x) &gt;9<br> G All real numbers<br> H-3 1 x59
Julli [10]
I’m pretty sure it’s h because the lines meet in the x axis
8 0
3 years ago
Other questions:
  • What is 9/16 x 12/13 and 7/10 x 5/28
    10·2 answers
  • The radius AND height of a cone are each doubled. What is the new volume? A) 4 3 πhr2 B) 8 3 πhr2 C) 4πhr2 D) 8πhr2
    7·2 answers
  • √24 + √150 ?<br> What is equivalent?
    14·1 answer
  • Which of the following expressions has the greatest value? A. 62 O B. 53 O c. 52 O D. 32​
    13·1 answer
  • Surface area of a cylinder with a radius of 7cm and a height of 12​
    10·2 answers
  • What is the value of -c+d when c= -14.9 and d= -2.6
    13·2 answers
  • Maria needs to make 6 gallons of lemonade. She only has a 1 quart pitcher to use for measuring. How many times will she need to
    11·2 answers
  • The following exchange rate is given: £1 = 1.11 euros. Convert £8 into euros.
    10·2 answers
  • 4). Machine “B” can pack 11 boxes per minute. The factory receives an
    13·1 answer
  • ∀x, ˜( x ∈ A ∧ x ∈ B )<br> How do you read this?<br> Thanks in advance.
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!