All categories

3 years ago

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

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

tan70=

x\tan 70=74

xtan70=74

Cross multiply.

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

tan70

xtan70

tan70

Divide each side by tan 70.

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

tan70

=26.9338≈26.9 feet

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

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