answer.
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
Serjik [45]
2 years ago
14

In ΔKLM, m = 59 cm, ∠L=111° and ∠M=60°. Find the length of l, to the nearest centimeter.

Mathematics
1 answer:
g100num [7]2 years ago
4 0

Answer:

64 (or 63.6)

Step-by-step explanation:

You can figure out the <K by adding the first two angles (111+60) and getting 171 (subtracting that from 180 gives you a 9-degree angle for <K

Given three angles and 1 side, you can calculate the sides as follows:

k=m*sin (K) / sin (M) = 10.65

l=m*sin (L) / sin (M) = 63.60234

Since you're solving for l, the steps would be:

l=59 * sin (111) / sin (60)

l=59 * (0.934) / (0.866)

l=55.106 / 0.866

l=63.63

Hope this helps!

You might be interested in
Devon purchased a new car valued at $16,000 that depreciated continuously at a rate of 35%. Its current value is $2,000. The equ
Phoenix [80]
The correct answer is A
6 0
2 years ago
A sanitation supervisor is interested in testing to see if the mean amount of garbage per bin is different from 50. In a random
Harlamova29_29 [7]

Answer with explanation:

Given : Sample mean =\overline{x}=\text{48.47 pounds}

Standard deviation : \sigma=\text{ 3.1 pounds.}

Sample size : n = 36

Claim : \mu\neq50

∴ H_0:\mu=50

H_1:\mu\neq50

Since the alternative hypothesis is two tail , then the test is two tail test.

By using a z statistic and a 0.05 level of significance. Reject  H_0 if z < -1.960 or is z> 1.960.

Then , the test static for population mean is given by :-

z=\dfrac{\overline{x}-\mu}{\dfrac{\sigma}{\sqrt{n}}}

z=\dfrac{48.47-50}{\dfrac{3.1}{\sqrt{36}}}\approx-2.96

We reject H_0 since -2.96\leq -1.96. We have statistically significant evidence at \alpha=0.05 to show that the mean amount of garbage per bin is not different from 50.  

5 0
2 years ago
Flyaway airline program offers 5 points for every mile flown plus a bonus of 20 points for every trip over 500 miles. My sky air
ivann1987 [24]
Trip G at 1000 miles earning 5 points a mile plus an extra 20 for every 500
5 0
2 years ago
Read 2 more answers
A science test, which is worth 100 points, consists of 24 questions. Each question is worth either 3 points or 5 points. If x is
anzhelika [568]
You need to solve for one variable in equation 1 and substitute it in equation 2 to solve.

Equation 1: x+y=24
x= number of 3 pt questions
y= number of 5 pt questions
24= Total number of questions

Equation 2: 3x+5y=100
100= Total point value possible on test
3x= point value of 3 pt questions
5y= point value of 5 pt questions

x+y=24
Subtract y from both sides
x=24-y

Substitute in equation 2:
3x+5y=100
3(24-y) +5y=100
72-3y+5y=100
72+2y=100
Subtract 72 from both sides
2y=28
Divide both sides by 2
y=14

Substitute y=14 back in to solve for x:
3x+5y=100
3x+5(14)=100
3x+70=100
Subtract 70 from both sides
3x=30
Divide both sides by 3
x=10

So there are 10 three point questions
There are 14 five point questions.

Hope this helped! :)
6 0
2 years ago
Read 2 more answers
Megan wants to find the quotient. Use multiplication and the
Orlov [11]
72÷4=18; 18 is the quotient
8 0
2 years ago
Other questions:
  • Rosa has 4 1/2 pounds of pizza dough. She uses 3/4 of a pound for one pizza. How many pizzas could be made from Rosa's dough?
    6·1 answer
  • The first-serve percentage of a tennis player in a match is normally distributed with a standard deviation of 4.3%. If a sample
    11·2 answers
  • You put $500 in an interest bearing bank account that pays 2% per year but has a fee of $2 per month. are you getting ahead?
    8·1 answer
  • anonymous 4 years ago You have a graduated cylinder that you use to measure volume. The cylinder is marked in 0.1 ml increments.
    12·1 answer
  • Find the inflection point of the function. (hint: g''(0) does not exist.) g(x) = 6x|x|
    6·1 answer
  • At a pizzeria, the ratio of pizzas topped with meat to pizzas topped with vegetables was 4:3 on Saturday. The pizzeria made a to
    13·2 answers
  • Lisa is william's niece, but she isn't emily niece even though emily is williams sister and william not married. how is it possi
    6·1 answer
  • HELPPP
    7·1 answer
  • Find the rational form of 71.625​
    10·1 answer
  • Question 2 of 20, Step 1 of 1
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!