In ΔMNO, the measure of ∠O=90°, the measure of ∠N=48°, and NO = 73 feet. Find the length of MN to the nearest tenth of a foot.

Answers

Answer 1

Answer:109.1 feet

Step-by-step explanation:

What function uses the ADJACENT and the HYPOTENUSE?

\text{SOH-CAH-TOA}

SOH-CAH-TOA

\cos N = \frac{\text{adjacent}}{\text{hypotenuse}}=\frac{73}{x}

cosN=

hypotenuse

adjacent

=

x

73

\cos 48=\frac{73}{x}

cos48=

x

73

x\cos 48=73

xcos48=73

Cross multiply.

\frac{x\cos 48}{\cos 48}=\frac{73}{\cos 48}

cos48

xcos48

=

cos48

73

Divide each side by cos 48.

x=\frac{73}{\cos 48}=109.0968\approx 109.1\text{ feet}

x=

cos48

73

=109.0968≈109.1 feet

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


Related Questions

Please answer!!! I’ll make brainliest

Answers

Answer:

x = 6

Step-by-step explanation:

Using Pythagoras' identity in the right triangle.

The square on the hypotenuse is equal to the sum of the squares on the other 2 sides.

let the third side be x , then

x² + 8² = 10²

x² + 64 = 100 ( subtract 64 from both sides )

x² = 36 ( take the square root of both sides )

x = [tex]\sqrt{36}[/tex] = 6

Answer:

6

Step-by-step explanation

Ordered triples only apply to right triangles

3,4,5 is an ordered triple

multiply (3,4,5) by 2 and you get (6,8,10)

the 2 other side lengths are 8 and the hypotenuse is 10 then the other side length is 6.

-------------------

That is just a way to do it quickly and it does not always apply.

the formula for Pythagorean and theorem is a^2+b^2=c^2

a=leg of the triangle

b=other leg of teh triangle

c=hypotenuse(longest leg)

as we can see here 10 is the longest so it is the hypotenuse.

So then we can assume that 8 is a leg of the triangle

so we insert that into the equation

a^2+8^2=10^2

subtract 8^2 from both sides

a^2=10^2-8^2

a^2=100-64

a^2=36

square root both sides

a=√(36)

a=6

Hope that helps :)

1/2x+4=20 solve for x.. Help?

Answers

Answer: 32

Step-by-step explanation: ok so here is what i do for those I grab a caculator (desmos online caculator i like to use but not required) then ill do (1/2×x)+4 but then once i write that i go back to the x delete the x and keep putting random numbers in higher and higher by one till the i get the answer (example: for this one i wrote that than i removed the x in it and did 1/2×5+4 then when that did not equal 20 i turned the 5 into a 6 then 6 was wrong so 7, then 8, then i just skipped to 20 then 20 was still wrong so skipped to 30, 30 was also wrong but CLOSE so then i tried 31 then 32 till the answer was 20 and when i did 32 it did say 20) hopes this helps

Answer: x=32

Step-by-step explanation:

1/2x+4=20

      -4   -4

1/2x=16

Multiply by 1/2 on each side

x=32

Ten out of every 32 people
surveyed play Among Us.
What percent of people
surveyed play Among Us?
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Answers

10 divided by 32 is 32.25
multiply 32.25 by 100
then u get 32%

Answer:

31.25%

Step-by-step explanation:

Man its the search engine

Great brushwork btw

I'm confused. Can someone help and also lmk how to work it out? :)

Answers

Answer:

£5

Step-by-step explanation:

5 boxes will cose 5 x 15.40 = 77 normally.

according to the table, he will get 6.5% discount.

6.5 percent of 77 is 77x0.065 = 5.005 ≈ 5

Answer:

he orders 5 boxes of paperclips, that comes around to 77 dollars. That means he will get a 6.5 percent discount. So you would multiply 77 by .065 and you would get 5.005. You would take that number and subtract it by 77 and would get 71.995 and you can round that up to 72 dollars. My guess is that either 72 or 5.005 is the answer as 72 dollars is the price after the discount and 5.005 is how much he is saving

Step-by-step explanation:

Find the value of that makes DEF~XYZ

Answers

Answer:

DEF~XYZ

xz/DF=xy/de in similar triangle side are proportional

3x/7=7.5/5

3x=7.5/5 ×1/7=7.5/35

Explain why this quadrilateral is not a parallelogram.

Answers

Answer:

opposite sides aren't equal

Answer: For a quadrilateral to be considered a parallelogram all opposite sides must be equal, however the shape shown in the image above does not meet this condition as all sides are a different size.

Select all equations that have graphs with the same y-intercept. y = 3x - 8 y = 3x - 9 y = 3x + 8 y = 5x - 8 y = 2x - 8 y = ⅓x - 8

Answers

The y intercept is the one without the x with it so all the -8 ones are the same intercept

determine the missing angle ​

Answers

Answer:

46°

Step-by-step explanation:

These angles are same-side supplementary, therefore they add up to 180°.

180 - 134 = 46°.

An item originally priced at $160 was discounted to $84. What percent was the discount?

Answers

Answer:

the discount was put down to 48%

Answer:

49%

Step-by-step explanation:

I am too tired to do the step by step explanation

Which represents the interval for any local max(s)?
a: (- ∞, - 1) U ( 1, 5)
b: (0, ∞)
c: (1, 5)
d: (0, 4)

Answers

Answer:

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Step-by-step explanation:

14. Two line segments are congruent if they have........... length.

Answers

The same length, if something is congruent it means they’re the same

The cost of 1 dozen pens is ₹ 24. Find the cost of 30 pens.
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Answers

the cost would be 60

PLEASE HELP ASAP ILL GIVE BRIANLIEST AND ACTUALLY HELP PLEASE
A parallelogram is translated 2 units to the right and 1 unit down and then rotated 90 degrees clockwise about the origin. Choose True or False for each statement about the image compared to the original. same orientation O True O False

True The whole statement is true.
False Some of the statement is false.​

Answers

True the whole statement is true

I need help on this question.

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The correct answer is C.

Two numbers have these properties
- Both numbers are greater than 8
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What are the two numbers?
Please add an explanation, thank you!

Answers

Step-by-step explanation:

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Answers

Y could be any number tho

I need help with #2 help if u can

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Answer:

Step-by-step explanation:

G

hello help please i’ll mark brainliest!!!

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Answer:

A waxing gibbous moon is in the sky when darkness falls. It lights up the early evening. It appears more than half lighted, but less than full.

Step-by-step explanation

DUE IN 5 MINUTES HELP

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simplify the expression 3(j+2)-2​

Answers

Answer: (3j + 6) or 3j + 4

Step-by-step explanation:

You distribute the 3 inside the parentheses and you could subtract the 2

Step-by-step explanation:

I hope this helps. 3j+6-2= 3j+4

Item 5
Find the area of the circle. Round your answer to the nearest hundredth.



area: about
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Answers

Here’s the link to the answe

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ALGEBRICAL EXPRESSIONS
SIMPLIFY

(7x+8y)² - (7x-8y)²

Answers

Step-by-step explanation:

hope it helps you

mark me as brainliest

Please please help me

Answers

I believe the answer is G

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Answers

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A repairman leans the top of an 26 foot ladder against the
top of a stone wall. The base of the ladder is 4.7 feet from
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Answers

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Step-by-step explanation:

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Answers

the answers is, n equals -11/18

Answer:

n=-11/18

Step-by-step explanation:

1/6=n+7/9

Change the sign and move the variable to the left hand side

-n+1/6=7/9

Change its sign and move constant to the right hand side

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Subtract the fractions

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ieieieeieeirieiejejejjdjdjdfhdhrhrhrurur

I need help and the step to find

Answers

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Step-by-step explanation:

Hope this helps! Have a good day! :)

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A.
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B.
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C.
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D.
23 square inches

Answers

Answer:

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Answers

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