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
n200080 [17]
3 years ago
10

In ΔLMN, the measure of ∠N=90°, the measure of ∠M=70°, and NL = 74 feet. Find the length of MN to the nearest tenth of a foot.

Mathematics
1 answer:
Zina [86]3 years ago
5 0

Answer:26.9 feet

Step-by-step explanation:

SOH-CAH-TOA

\tan M = \frac{\text{opposite}}{\text{adjacent}}=\frac{74}{x}

tanM=

adjacent

opposite

​

=

x

74

​

\tan 70=\frac{74}{x}

tan70=

x

74

​

x\tan 70=74

xtan70=74

Cross multiply.

\frac{x\tan 70}{\tan 70}=\frac{74}{\tan 70}

tan70

xtan70

​

=

tan70

74

​

Divide each side by tan 70.

x=\frac{74}{\tan 70}=26.9338\approx 26.9\text{ feet}

x=

tan70

74

​

=26.9338≈26.9 feet

Type into calculator and roundto the nearest tenth of a foot.

L

M

N

74

26.9

(opposite of ∠M)

(adj. to ∠M)

(hypotenuse)

70°

You might be interested in
What is the slope of the line that passes through the points (-3, 5) and (1, 7)?
Stells [14]

Answer: The slope of the line is \frac{1}{2}

Step-by-step explanation:

The slope of a line can be calculated with the following formula:

m=\frac{y_2-y_1}{x_2-x_1}

Then, given the points (-3, 5) and (1, 7), you can identify that:

y_2=5\\y_1=7\\\\x_2=-3\\x_1=1

Knowing these values you can substitute them into the formula for calculate the slope:

m=\frac{5-7}{-3-1}

Finally, evaluating, you get that the slope of that line is:

m=\frac{-2}{-4}\\\\m=\frac{1}{2}

8 0
3 years ago
Best Answer gets BRAINLIEST!!!
Bumek [7]

Answer:

maybe is b

Step-by-step explanation:

but just wait to other people

8 0
2 years ago
Read 2 more answers
Find x and y and i just need the answer, no need to show work.
vichka [17]

Answer:

x= 20

y = 60

Step-by-step explanation:

y = 3x

6(3x) = 360

3x = 360/6

3x = 60

x = 20

y = 3*20

y = 60

7 0
1 year ago
Help fast please....
SIZIF [17.4K]

Answer:

a triangular prism

Step-by-step explanation:

they are all 180)

7 0
3 years ago
Read 2 more answers
A sample of 4 different calculators is randomly selected from a group containing 18 that are defective and 35 that have no defec
Sphinxa [80]
<span>1.

P(</span>at least one of the calculators is defective)= 

1- P(none of the selected calculators is defective).

2.

P(none of the selected calculators is defective)

           =n(ways of selecting 4 non-defective calculators)/n(total selections of 4)

3.

selecting 4 non-defective calculators can be done in C(35, 4) many ways, 

where  C(35, 4)= \frac{35!}{4!31!}= \frac{35*34*33*32*31!}{4!*31!}=  \frac{35*34*33*32}{4!}=  \frac{35*34*33*32}{4*3*2*1}=  52,360

while, the total number selections of 4 out of 18+35=53 calculators can be done in C(53, 4) many ways,

C(53, 4)= \frac{53!}{4!*49!}= \frac{53*52*51*50}{4*3*2*1}= 292,825

4. so, P(none of the selected calculators is defective)=\frac{52,360}{292,825} =0.18


5. P(at least one of the calculators is defective)= 

1- P(none of the selected calculators is defective)=1-0.18=0.82



Answer:0.82
7 0
3 years ago
Other questions:
  • Please help it’s really important because if I get it wrong I have to restart.
    13·1 answer
  • Frank an active 11 year old male, consume 660 calories during breakfast. This is 30 percent of the recommended number of calorie
    7·1 answer
  • HELP ME PLEASE ASAP
    13·2 answers
  • A sound wave is modeled with the equation y=1/4 cos 2pi/3theta. Find the period. Explain your method. Find the amplitude. Explai
    11·1 answer
  • Help needs to be done in 10 mins​
    5·1 answer
  • What are the answers to Daffynition Decoder
    8·1 answer
  • What is the measure of the missing side
    6·2 answers
  • Who else is bored? I am, someone wanna talk
    15·2 answers
  • What is the solution for 4 x-3+1=1
    12·2 answers
  • A golf ball weighs about 45.9 grams. About how many ounces would a dozen golf balls weigh?
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!