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
Solve<br> Y = -1/2 (-2) + 2
Basile [38]

Answer: y = 3

Step-by-step explanation:

7 0
2 years ago
Read 2 more answers
jason spends 3.24 on 6 chocolate chip cookies. The cookies all cost the same amount. What is the cost of each cookie
Vlada [557]
Divide 3.24 with 6 and the answer will be found

$0.54
7 0
3 years ago
Read 2 more answers
From the day it starts to grow from a seedling 2 inches high, a magic tree grows 5 inches a day. how tall will it be after 3 wee
Oduvanchick [21]
Your answer is 107 because there are 7 days in a week and there are three weeks so that is 105 inches then add the starting growth of two inches
6 0
3 years ago
Can y’all help me please
nikdorinn [45]

Answer:

4a^2b^2(ab^3-4a^3+3b)

This is the answer,the option C

Step-by-step explanation:

8 0
2 years ago
If the principal is 3500 the rate is 3% and the time is 3 years want is the answer
8090 [49]
You’re gonna do 3500X3X3 = 31500
4 0
2 years ago
Other questions:
  • Picturing the way a volcano erupts to remember how a volcano functions is called
    8·2 answers
  • A student finished 8 of her homework problems in class. If the ratio of problems she finished to problems she still had left was
    11·2 answers
  • Determine translation
    14·1 answer
  • Suppose that in a certain population of married couples, 30% of the husbands smoke, 20% of the wives smoke, and in 8% of the cou
    9·1 answer
  • Solve for AB. Round your answer to the nearest tenth if necessary.
    10·2 answers
  • Melinda takes out a loan to purchase a car. The balance on her loan after x months is represented by the equation y = 10,000 – 2
    11·2 answers
  • Please need help on this
    12·1 answer
  • What is true about the dilation?
    11·2 answers
  • 8x + 3y = 13<br><br> 3.x + 2y = 11
    14·1 answer
  • When working in trigonometry, you typically measure angles in
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!