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

PLEASE HELP!!!!This table shows the temperature change in these
places from 1960 to 2014.
Enter the missing values.

Answers

Answer:

50/52/2

85/87/(2)

-6/-3/(3)

(-13)/12/1

Answer:

answer below

Step-by-step explanation:

Antarctica ( average temperature in 1960 Fahrenheit) = -11

Khartoum, Sudan ( change from 1960 to 2014 Fahrenheit) = 2

Greenland ( change from 1960 to 2014 Fahrenheit) = 3

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

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

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)

* 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

Write an equation of a line that goes thru the points (-2, 6) & (3, -4)

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

To get b, we substitute any of the two points

6 = -2(-2) + b

6 = 4 + b

b = 6-4 = 2

The equation of the line is thus;

y = -2x + 2

The original scale factor for a scale drawing of a house plan is 1/80, and the length of the original scale drawing is 12 inches. What is the length of the actual house if the scale factor is 1/80? PLEASE HELP!​

Answers

Answer:3

Step-by-step explanation : because i division

Can someone tell me which equation this is
1. f(x)= 1/4x +4
2. y=1/2x +4
3. f(x)=-2/3 +4

Answers

Answer:

#3

Step-by-step explanation:

The line follows an inverted slope format, indicated by -2/3. Or down 2, and 3 to the right after going up by 4, creating the line. The other equations would flip the line horizontally because of a positive slope.

Pls help me number 8 plsssss

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 :)

PLEASE HELP ASAP!!!!

Answers

Answer:

B - symmetrical

Step-by-step explanation:

Skewed grams and Uniform graphs are waaaay different

Skewed is basically all of it is tyo the left or right

Uniform is everything about the same level

GIVING BRAINLIEST! What is the slope of the negative graph?


Answers

Answer:
-3/2 is the slope of the negative graph
Hoped this helped have an amazing day!

(+3 120-130'+ 24c +8

Answers

Answer:

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

Step-by-step explanation:

What is the surface area??

Answers

Answer:

120+96+rhom do the rest

Step-by-step explanation:

HURRY PLEASE I NEED HELP

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

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

The system of two equations is

1). There are 25 students in grade 7. 15 are boys and others are girls. A
student is selected for a field trip at random.
A) Find the probability of selecting a boy
B) Find the probability of selecting a girl|

Answers

Answer: 1) 15:25 or 15/25 2) 10:25 or 10/25

Step-by-step explanation: if there are 25 students total and there are 15 boys that means the rest are girls so 25-15 is 10 girls. So the ratio for selecting a boy would be 15:25 or 15/25 and the ratio for selecting a girl would be 10:25 or 10/25

Hiiiiiiiiiiiiiiiiiiii take your best guess

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

x = -6,737/999

Use kite WXYZ to find m<YZQ​

Answers

90°

Hope this helps

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

A triangle where one angle measures 20° and another angle measures 45°.Help please

Answers

Answer: 115 degrees

Step-by-step explanation:

Pretty vague question but with the info given im guessing that your looking for the last angle in the triangle which is 115 since all angles in a triangle must add up to 180

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.

WILL AMRK BRAINLIEST IF GOTEN CORRECT

Answers

Answer: if im not mistaken its D

Step-by-step explanation:

$17divided by 20% rounded to the nearest dollar

Answers

Answer:

$13.60??????

Step-by-step explanation:

$17 divided by 20% = $85 rounded by the nearest dollar is 90 ??????

I GOT THE POWER IF GOD AND ANIME ON MY SIDE

i dont know for sure if the answer is right sorry

math is not on my side

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

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

Name the property illustrated.

(4 + 6) + 9 = 4 + (6 + 9)

Answers

Commutative property.
Mark brainliest

(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.

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

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

4 × (-7) = -28

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