Calculate the length of the side LN given the following data for 37°.

Sin 37° = 0.602
Cos 37° = 0.790
Tan 37° = 0.754

pls help ASAP

Calculate The Length Of The Side LN Given The Following Data For 37. Sin 37 = 0.602Cos 37 = 0.790Tan

Answers

Answer 1

Answer:

It is given that,

Sin 37° = 0.602

Cos 37° = 0.790

Tan 37° = 0.754

To find:

The length of side LN.

Solution:

In a right angle triangle,

[tex]\sin\theta =\dfrac{Perpendicular}{Base}[/tex]

Using this in triangle LMN, we get

[tex]\sin (37^\circ) =\dfrac{LM}{LN}[/tex]

[tex]0.602=\dfrac{6}{LN}[/tex]

[tex]0.602LN=6[/tex]

Divide both sides by 0.602.

[tex]LN=\dfrac{6}{0.602}[/tex]

[tex]LN=9.966777[/tex]

[tex]LN\approx 9.97[/tex]

Therefore, the correct option is C.


Related Questions

hi, please help thank you !
A randomly selected group of 80 high school students was surveyed to see if Math or English was their favorite subject.
Part A: What percent of students surveyed are in the 10th grade? Round your answer to the nearest percent.
A)29%
B)14%
C)71%
D)15%

Answers

Answer:

A because 11 +12 is 23 and A is the closest

Joshua unfolded a cardboard box. The figure of the unfolded box is shown below:


Which calculation will give the total surface area of the cardboard, in square inches, that was used to make the box? (1 point)

Question 14 options:

1)

6 × 3 × 3

2)

3 × 6 × 6

3)

9 × 6 × 6

4)

6 × 9 × 9

Answers

Answer:

1) 6 * 3 * 3

Step-by-step explanation:

Assuming the box is a cube, the surface area would be 6 times one side's area (since in a cube each side is a square) or A=6s^2 where s is a side length of the cube. This means that the surface area is 6*3*3=6*9=54 in^2

3(x - 7) = 2(x - 12)
explain how u got it too

Answers

Answer:

x = -3

Step-by-step explanation:

3x - 21 = 2x - 24

3x = 2x - 3

x = -3

Answer:

x = 45

Step-by-step explanation:

First, we need to use the distributive property on both sides of the equation. We multiply the number outside of the parentheses by every term inside the parentheses.

3(x - 7) = 2(x - 12)

3x - 21 = 2x - 24    

From here, we solve for x.

3x - 21 = 2x - 24

x - 21 = 24                 (Subtract 2x from both sides)        

x = 45                       (Add 21 to both sides)

A company produces fruity drinks that contain a percentage of real fruit juice. Drink
A contains 20% real fruit juice and Drink B contains 15% real fruit juice. The
company used 100.5 liters of real fruit juice to make 30 more liters of Drink A than
liters of Drink B. Write a system of equations that could be used to determine the
number of liters of Drink A made and the number of liters of Drink B made. Define
the variables that you use to write the system.

Answers

Answer:

x = amount of real fruit juice used to make Drink A

y = amount of real fruit juice used to make Drink B

Step-by-step explanation:

Let

x = amount of real fruit juice used to make Drink A

y = amount of real fruit juice used to make Drink B

1. The company used 100.5 liters of real fruit juice, then

2. Drink A:

x = amount of real fruit juice used

percentage of real fruit juice

Then

5x = amount of drink A produced

Drink B:

y = amount of real fruit juice used

percentage of real fruit juice

Then

amount of drink B produced

The company makes 30 more liters of Drink A than liters of Drink B, so

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I need help with this question it's for a important grade and if anyone can help that will be great.​

Answers

Basically you use the tan/sin/cos rules.

You have your opposite=13 and hypotenuse=33, so use sin to solve it.

sin^-1(opp/hyp)
=sin^-1(13/33)
=23 degree

Step-by-step explanation:

33+13+90=136+?=180

136-180=44

X=44

what is the probability of rolling a standard die twice and getting an even number, then 5?

Answers

Answer: 22.222% or .2222

Step-by-step explanation:

There are 6 sides on a standard die. Two of the numbers (1&4) are perfect squares so the chances of getting a perfect square on the first roll is 2/6. There are 4 numbers less than 5 (1,2,3,4). The chances of rolling a number less than 5 on the second roll is 4/6. The probability of two events is equal to the product of those events or in this case 2/6 x 4/6 which is 8/36. Which reduces to 2/9. That’s 22.222% or .2222

Find the pair of numbers that will multiply to give you the bottom number and add to the top number

Answers

Answer:

4 and 3

4 and 5

4 and 6

3 and -8

-4 and -21

4 and 36

4 and -7

Step-by-step explanation:

1)

4 + 3 = 7

4 × 3 = 12

2)

4 + 5 = 9

4 × 5 = 20

3)

4 + 6 =10

4 × 6 = 24

4)

3 - 8 = -5

3 × (-8) = -24

5)

-4 - 21 = -25

-4 × (-21) = 84

6)

4 + 36 = 40

4 × 36 = 144

7)

4 - 7 = -3

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If cosθ = 8/17 then find tanθ . *
1 point
8/15
15/17
17/15
15/8

Answers

Answer:

15/8

Hope it helps

Please mark me as the brainliest

Thank you

* Countdown
Series 5 / Page 6
Justin has a paper parallelogram with a
lotted line drawn on it. He will use scissors
o cut along the line, forming a triangle and
pentagon
7 cm
8 cm
3 cm
3 cm
Which equation can be used to find p. the
area of the pentagon?
A p= (7 6 / (3.3)
Bp=(7-6)-(3.3)
cp-417.6.3.3)
Dp = (7 + 6) - (3 + 3)

Answers

Answer:

A

Step-by-step explanation:

Area of pentagon = Area of parallelogram - area of triangle

                              = (base * height ) - [tex]\frac{1}{2}*b*h[/tex]

                              = (7 * 6) - [tex]\frac{1}{2}[/tex] * 3 * 3

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Answers

Answer:

y=mx+b

m=2/3, b=-2

your answer is B. y=2/3x-2

Step-by-step explanation:

Hope this helps :)

Is this correct? At this time of the day my brain starts dying lol.

Answers

Answer:

The first one is 0.63

Step-by-step explanation:

3.79 ÷ 6 is 0.63

The second one is correct

Answer:

the first one is wrong the second one is right

Step-by-step explanation:

the first one is - 0.63166666666 or 0.63

n is less than or equal to 13

Answers

Answer:

n ≤ 13

Step-by-step explanation:

≤ is a symbol used to show less than or equal to. Since n is less than or equal to 13, you will put it like n ≤ 13.

Hopes this helps:

Answer:

Let x be the number. If x is no less than 13, the x can be greater than 13 or equal to 13. Combine these two conditions and get x >13.

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Answers

Answer:

whats your question? its hard to answer a question without info man

Step-by-step explanation:

Work out the number of years of investment for each return.
a. £3000 invested at 3% simple interest returns £3720

Answers

Answer:

41 years approx

Step-by-step explanation:

Given data

P=  £3000

R=3%

Simple Interest= £3720

Time=???

We know that from the simple interest expression

SI= PRT/100

substitute

3720= 3000*3*T/100

Make T subject of the formula

T= 3720*100/3000*3

T= 372000/9000

T= 41.33

Hence the number of years is 41 years approx

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Answers

Step-by-step explanation:

as I guess it's a link question between some others so can you show us whole quetsion of it

(2/3) to the 3rd power] plus [(3/4) to the zero power]

Answers

Answer:

1-8/27

Step-by-step explanation:

[tex](\frac{2}{3})^3=\frac{8}{27}[/tex]

[tex](\frac{3}{4})^0=1[/tex] (anything to the zeroth power is 1)

[tex]1+\frac{8}{27}=1\frac{8}{27}[/tex]

We cannot simplify, so 1-8/27 is our answer.

Hope this helps. Have a nice day.

Is -6.743743… a rational or irrational number?

Your answer:

Rational because .743 repeats


Rational because the 6 is negative


Irrational because the number never ends


Irrational because the 6 is negative

Answers

It's rational because it contains a repeating digit pattern, 743 (first option).

In particular, if

x = -6.743743…,

then

1000x = -6,743.743743… .

Subtracting, we can eliminate the trailing end and solve for x exactly:

1000x - x = -6,743.743743… - (-6.743743…)

999x = -6,737

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Answers

Answer:

The equation of the line is;

y = -2x + 2

Step-by-step explanation:

Here, we want to write the equation of the line that passes through the given points

The general form of the equation is

y = mx + b

where m is the slope of the line and b is the y-intercept of the line

Mathematically, to get the slope, we use the slope formula

m = (y2-y1)/(x2-x1)

(x1,y1) = (-2,6)

(x2,y2) = (3,-4)

m = (-4-6)/(3+2) = -10/5 = -2

So the equation is in the form;

y = -2x + b

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The equation of the line is thus;

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Answers

Answer:
-3/2 is the slope of the negative graph
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Answers

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Step-by-step explanation:

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Answers

Answer:

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Step-by-step explanation:

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Answers

Answer:

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Step-by-step explanation:

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Answers

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Answers

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Answers

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Step-by-step explanation:

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Answers

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