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
notsponge [240]
3 years ago
8

Given: △FKL, FK= a m∠F=45°, m∠L=30° Find: FL

Mathematics
1 answer:
mr Goodwill [35]3 years ago
6 0

The sum of angles of a triangle is 180°, so m∠K = 180° -45° -30° = 105°.

The Law of Sines tells you

... FL/sin(∠K) = FK/sin(∠L)

Solving for FL, we get

... FL = FK·sin(∠K)/sin(∠L)

... FL = a·sin(105°)/sin(30°) = a·sin(105°)/(1/2)

... FL = 2a·sin(105°) ≈ 1.93185a

You might be interested in
Determine which value best represents each point on the number line below?
DaniilM [7]
A= 0.5 B=1 C=2.5 D=3.5
5 0
3 years ago
What is x+2x=100<br><br> what is x?
Vesnalui [34]

I am not sure about the answer but all you have to think about is what is 100 divided by 3

8 0
3 years ago
Read 2 more answers
Are -3.9 and -0.99 on the same side or the opposite side of zero ?
MAXImum [283]

Same side.  Locate -3.9 on the number line.  Then -0.99 is to the right of -3.9, with both numbers being on the same side (that is, on the left side) of zero.

6 0
3 years ago
Read 2 more answers
<img src="https://tex.z-dn.net/?f=%20%5Csqrt%5B3%5D%7B%28%20%5Cfrac%7B1%7D%7B8%7D%20%20-%20x%29%7D%20%20%3D%20%20-%20%20%5Cfrac%
Rashid [163]

∛(1/8 - <em>x</em>) = -1/2

Take the 3rd power of both sides and solve:

(∛(1/8 - <em>x</em>))³ = (-1/2)³

1/8 - <em>x</em> = -1/8

2/8 = <em>x</em>

<em>x</em> = 1/4

7 0
2 years ago
What are the solutions of 2x2 + 3x = −5? (6 points)
sleet_krkn [62]
I got x = -.3 repeating. 2x2 = 4 + 3x=-5 u then -4 from each side  and you get 3x = -1. divide both sides by 3 and you get x= -.3 repeating. 
6 0
3 years ago
Read 2 more answers
Other questions:
  • Solve 32x+3 = 243 for x. <br><br> A. x = 10<br> B. x = 1<br> C. x = 2/5<br> D. x = 2
    7·1 answer
  • Graph the line y=-3x
    6·2 answers
  • If 9 = c, then c = 9. What algebraic equality property justifies the above statement?
    13·1 answer
  • Correlation coefficients fall in a scale from -1.0 to 1.0 and show how ________ the points are on the scatter plot around a ____
    9·1 answer
  • 4 pizzas ÷ 3 chefs = __<br> pizzas for each chef
    8·2 answers
  • Which of the following data sets would most likely be normally distributed.
    14·1 answer
  • Last question I swear
    5·1 answer
  • A car is traveling at a speed of 81 kilometers per hour. What is the car's speed in meters per second? How many meters will the
    13·1 answer
  • 1 divided by 1/10=....
    14·1 answer
  • You have $30 to buy muffins. However, at the shop you can buy 1 muffin for $4. (a) Write an inequality from the above informatio
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!