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
Makovka662 [10]
3 years ago
8

In ΔJKL, k = 9.6 cm, l = 2.7 cm and ∠J=43°. Find ∠L, to the nearest 10th of a degree.

Mathematics
1 answer:
Bogdan [553]3 years ago
3 0

Answer:

L = 10.64°

Step-by-step explanation:

From the given information:

In triangle JKL;

line k = 9.6 cm

line l = 2.7 cm; &

angle J = 43°

we are to find angle L = ???

We can use the sine rule to determine angle L:

i.e

\dfrac{j}{SIn \ J} = \dfrac{l}{ SIn \ L}

Using Pythagoras rule to find j

i,e

j² = k² + l²

j² = 9.6²+ 2.7²

j² = 92.16 + 7.29

j² = 99.45

j = \sqrt{99.45}

j = 9.97

∴

\dfrac{9.97}{Sin \ 43} = \dfrac{2.7}{ Sin \ L}

{9.97 \times    Sin (L ) = (2.7 \times Sin \ 43)

=  Sin \ L = \dfrac{ (2.7 \times Sin \ 43)}{9.97 } \\ \\ =  Sin \ L = \dfrac{ (2.7 \times 0.6819)}{9.97 }  \\ \\  = Sin \ L = 0.18466 \\ \\  L = Sin^{-1} (0.18466) \\ \\  L = 10.64 ^0

You might be interested in
PLZ HELP QUICK!!! A restaurant catered a party for 40 people. A child’s dinner (c) cost $11 and an adult’s dinner (a) cost $20.
sergey [27]

The correct answer maybe

Actually I don't understand ur question

4 0
3 years ago
Read 2 more answers
Please help!!!!! Thank you
marin [14]
Its 872 when the integer goes down
7 0
2 years ago
Find solution to logarithm. 
sveta [45]
\log5x+\log(x-1)=2\\
D:5x>0 \wedge x-1>0\\
D:x>0 \wedge x>1\\
D:x>1\\
\log5x(x-1)=2\\
10^2=5x^2-5x\\
5x^2-5x-100=0\\
x^2-x-20=0\\
x^2-5x+4x-20=0\\
x(x-5)+4(x-5)=0\\
(x+4)(x-5)=0\\
x=-4 \vee x=5\\
-4\not \in D\Rightarrow x=5

8 0
3 years ago
Read 2 more answers
Which number is a rational number<br> A. 7<br> B. 7.07....<br> C. 8.12....<br> D. 9.94...
Lady bird [3.3K]
Answer:

A

Explanation:

All of the other choices are ongoing decimals which make the irrational numbers
7 0
3 years ago
Five more than three times the number is one-third more than the sum of the number and itself.
disa [49]

The sentence is converted into a mathematical equation will be 3n + 5 = n + n + 1/3. Then the correct option is C.

<h3>What is Algebra?</h3>

The analysis of mathematical representations is algebra, and the handling of those symbols is logic.

Five more than three times the number is one-third more than the sum of the number and itself.

Let the number be n.

Then convert the sentence into a mathematical equation. Then the equation will be

3n + 5 = n + n + 1/3

The sentence is converted into a mathematical equation will be 3n + 5 = n + n + 1/3. Then the correct option is C.

The complete question is attached below.

More about the Algebra link is given below.

brainly.com/question/953809

#SPJ1

5 0
1 year ago
Other questions:
  • Rodney is given twi equations:x-y=11 and 2x+y=19
    13·1 answer
  • You and your friend are selling tickets for the orchestra concert. On Thursday, you sold 15 tickets and your friend sold 10 tick
    5·1 answer
  • ⦁ Find the area of the trapezoid. Show your work and explain how you solved using First, Next, and Last. (Please help! and thank
    6·1 answer
  • Is the following relation a function? Yes or No
    9·1 answer
  • I need help with all of them
    6·1 answer
  • You have 16 coins that are heads up and 18 coins that are tails up. After you add some coins that are tails up, the ratio of hea
    13·1 answer
  • Please help me and explain! (1 and 2)​
    14·1 answer
  • 2(3x + 2) = 2x - 1+x.
    7·2 answers
  • The graph below shows the price of different numbers of swim bags at a store:
    6·2 answers
  • Let f(x) = x2 − 3x − 7. Find f(−3).
    14·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!