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
Given the function, d(t) = 50t, the variable t represents which of the following? Select all that apply. input output function i
34kurt

Answer:

Input

Independent variable

Step-by-step explanation:

we know that

<u><em>Independent variables</em></u>, are the values that can be changed or controlled in a given model or equation

<u><em>Dependent variables</em></u>, are the values that result from the independent variables

we have the function

d(t)=50t

In this problem

The function d(t) represent the dependent variable or the output

The variable t represent the independent variable or input

6 0
3 years ago
Read 2 more answers
PLEASE ANSWER I WILL GIVE BRAINIEST!!!!!!!!!!!!!!!
o-na [289]

Answer:

It's C

Step-by-step explanation:

Ex. y = 9x

x = 2

y = 18

:)

8 0
3 years ago
Read 2 more answers
Dan is watching the birds in his backyard. Of the birds he watches, 9 of them, or 45%, are sparrows. How may birds are in his ba
andrezito [222]

Answer:

5

Step-by-step explanation:45 divided by 9 is 5

6 0
2 years ago
Read 2 more answers
Evaluate each expression if a=4, b=6 and c=3<br><br> 5b-6c
iragen [17]

Answer:

it is 12

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
What is the next term in the sequence below?
andreyandreev [35.5K]

Answer: Option a.

Step-by-step explanation:

1. The sequence shown in the problem is a Geometric sequence, because it has a common ratio. This means that when you multiply one of those numbers by the common ratio, you obtain the next number.

2. Then, you can calculate the common ratio as following:

r=\frac{108}{-324}=-\frac{1}{3}

3. Therefor, the next term is:

(12)(-\frac{1}{3})=-4

7 0
3 years ago
Read 2 more answers
Other questions:
  • If you leave the faucet on for one half of a day, how many gallons of water do you waste?
    9·1 answer
  • In a hospital wing there are 12 doctors. There are 20 more nurses than doctors. What proportion of the staff are nurses? Write y
    12·1 answer
  • a store has a sale on books. The price is 17.55 for one book, 16.70 each for 2 books, 15.85 each for 3 books, and $15 each for 4
    13·2 answers
  • What is the percent decrease from 120% to 90%
    5·1 answer
  • the value of n is both 5times as much as the value of m and 36more than the value of m. What are the values of n and m?​
    13·2 answers
  • Please hellp!! solve
    10·2 answers
  • A parks department is fencing off a square portion of a park for a memorial. The perimeter of the square is 50.8 meters. How man
    10·1 answer
  • I don’t know the anwser pls help
    5·1 answer
  • Help me pleaseeeee I will give brainleist
    6·1 answer
  • Help me plz..
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!