In ΔLMN, n = 92 inches, ∠N=46° and ∠L=11°. Find the length of l, to the nearest inch.

Answers

Answer 1

Answer:

24 inches

Step-by-step explanation:

A triangle is a polygon with three sides and three angles. The types of triangles are scalene triangle, equilateral triangle, right angled triangle and obtuse triangle.

Sine rule states that given a triangle with sides a, b, c and their corresponding angles opposite to the sides as A, B, C. Then:

[tex]\frac{a}{sinA} =\frac{b}{sinB} =\frac{c}{sinC}[/tex]

In triangle LMN:

We can find the length of l using sine rule:

[tex]\frac{l}{sinL}=\frac{n}{sinN} \\\\substituting:\\\\\frac{l}{sin(11)}=\frac{92}{sin(46)} \\\\l=\frac{92}{sin(46)}*sin(11)\\\\k=24\ inches \\[/tex]

In LMN, N = 92 Inches, N=46 And L=11. Find The Length Of L, To The Nearest Inch.

Related Questions

$49 to $149
A.2%; increase C.100%; increase B.67%; increase D.204%; increase

Answers

Answer:

D. 204% increase

What is the approximate radius of a sphere with a volume of 1436 cm3?

A. 41 cm

B. 14 cm

c. 7 cm

D. 69 cm ​

Answers

Answer:

r≈7cm

Step-by-step explanation:

Using the formula

V=4

--------= πr^3

    3

r=(3V

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

4π)⅓=(3·1436

4·π)⅓≈6.99877cm

the answer is 7cm

Answer:

C. 7 cm

Step-by-step explanation:

Took the quiz. Trust

5,15,35,65 solve the rule and the next term

Answers

Answer:

105

Step-by-step explanation:

Given the sequence of numbers

5,15,35,65

First lets get the common difference

d1 = 15-5 = 10

d2 = 35 - 15 = 20

d3 = 65-35 = 30

We can see that the differences form an arithmetic sequence

10, 20, 30..

Let's get the next term fist

Tn = a + (n-1)d

T4 = 10+(4-1)(10)

T4 = 10 + 3(10)

T4 = 10+30

T4 = 40

This means that the next term of the original sequence will be gotten by adding 40 to the preceding value

Next term = 65 + 40

Next term = 105

Hence the next term is 105

What is 12 kg into grams

Answers

Answer: 12 kilograms= 12000 grams

Step-by-step explanation:

multiply the mass value by 1000

Answer:

1 Kg = 1000 grams

hence

12Kg = 12000 grams

2/5-1/4 simplified please help will make brainliest ​

Answers

Answer:

8/20-5/20

Step-by-step explanation:

Answer:

0.15

Step-by-step explanation:

0.4-0.25

0.15

A.) 15.7in
B.) 31.4in
C.) 40in
D.) 62.8in

Answers

Answer:

31.4 in

Step-by-step explanation:

This is a tricky question,

if you observe the shape carefully, you will notice that if you mirror (flip outward) each curve surface of each quardrant, what you will end up with is a complete circle with a radius of 5 inches.

Hence the combined length of all the curved surfaces is simply the circumference of the circle, given by:

Circumference = 2πr

= 2 x 3.14 x 5

= 31.4 in

B: 31.4in



hope this helps lol

Solve and check:
y = x + 4
y = 3x

Answers

Answer:

X=2

Step-by-step explanation:

3x = x + 4

3x - x = 4

2x = 4

x = 4/2

x = 2

Check:

3(2) = 2 + 4

6 = 6

Does the point (5, 8) satisfy the inequality 2x + y > 18?​

Answers

Answer:

The answer is...... NO

Step-by-step explanation:

Step 1: Plug in your values in the x and y cordinates.

2(5) + 8 > 18

Step 2: Solve

Then you multiply 2 and 5 and get 10.

SO then your equation should look like this:

10 + 8 > 18

The answer to the question is no because in order for this to work it would need to be the greater than or equal to sign, which looks like this ≥.

Hope this helps and have a great day! :)

What is 1/2x(4+6x3)-9?

Answers

Answer:

Answer is 2

Step-by-step explanation:

Answer:

1st do you do 6 × 3 to get 18 and then you add that by 4 because parentheses come 1st. You want to use Pemdas so you do 1/2 times 22 and then you want to subtract 9 from 22 to get 12.

What is the kinetic energy of a 14 kg mass moving with a velocity of 3 m/s? 1 point
63 J
69 J
66 J
60 J
A 35 kg mass is lifted to a height of 5 m What is the notential anera?*

Answers

The answer Your answer is 63J

-4x + 3y - x - 2y + y

Answers

Answer: -5x+2y

Step-by-step explanation: Have a brilliant day! - Lily ^_^

2.1b b=5 please help

Answers

Answer: 10.5 :) good luck!

Step-by-step explanation:

Answer:

Step-by-step explanation:

10.5

PLS HELP I'LL MARK BRAINLEST

Answers

Answer: C

Step-by-step explanation:

hope this helped

Answer:

D and E.

Step-by-step explanation:

Each angle is a different length and no sides can be the same length. If two angles are the same the triangle is considered an isosceles triangle. If all sides are the same it is an equilateral triangle.

Some friends shared 2 bags of chips. If each person got 2/3 of a bag of chips, how many friends were there?

Answers

Answer:

1 1/3

Step-by-step explanation:

does this look right?

Answers

Answer:

What?

Step-by-step explanation:

what looks right?

Answer:

what ???¿???????

?????

A desk drawer is shaped like a rectangular prism. The height of the drawer is 7 inches. The bottom of the drawer has an area of 210 square inches.

Answers

Answer:

We know the volume formula of rectangular prism is:

Volume = Length × Width × Height

We are given:

Volume = 1428 in³

Height = 6 in

Length = 17 in

Width = p

Apply the formula!

1428 = 6 × 17 × p

1428 = 102p

Divide by 102 on either side to isolate p

p = 14  

The width is 14 inches

Step-by-step explanation:

PLS HELP I'LL MARK BRAINLEST

Answers

Answer:

x+74=135

x=135-74=61(exterior angle of a triangle is equal to the sum of two opposite interior angle)

Evaluate the following when a = 4 and b = 7 (a+b)^2 - (a^2 + b^2)

Answers

Answer:

56

Step-by-step explanation:

(4+7)²-(4²+7²)=121-65

                     =56

Answer:

56

Step-by-step explanation:

(4 + 7)² - (4² + 7²)  =  11² - (16 + 49)  =  121 - 65  =  56

What is 20% of 800, if 10% of 800 is 80?

Answers

Answer:

160

I hope it is helpful to you

x^4-25x^2+144 by x-4

Answers

Answer:

x^5-25x^3-4x+144/x

Step-by-step explanation:

x^4-25x^2+144 by x-4

Write the division as a fraction

x^4-25x^2+144/x -4

Write all numerators above the common denominator

x^5-25x^3+144-4x/x

Use the commutative property to reorder the terms

x^5-25x^3-4x+144/x

if you can give me brainliest thad be amazing! if not thats fine as well, hope this helps

please help me prove the identity​

Answers

Answer:

[tex]\frac{1-\tan x }{1+\cot x}[/tex]

Step-by-step explanation:

Let [tex]\frac{\sin 2x+\cos 2x-1}{\sin 2x+\cos 2x + 1}[/tex], we proceed to prove the given identity by trigonometric and algebraic means:

1) [tex]\frac{\sin 2x+\cos 2x-1}{\sin 2x+\cos 2x + 1}[/tex] Given

2) [tex]\frac{2\cdot \sin x \cdot \cos x +\cos ^{2}x - \sin^{2}x-1}{2\cdot \sin x \cdot \cos x +\cos ^{2}x - \sin^{2}x+1}[/tex] [tex]\sin 2x = 2\cdot \sin x \cdot \cos x[/tex]/[tex]\cos 2x = \cos^{2}x - \sin^{2}x[/tex]

3) [tex]\frac{2\cdot \sin x \cdot \cos x -\sin^{2}x-(1-\cos^{2}x)}{2\cdot \sin x\cdot \cos x +\cos^{2}x+(1-\sin^{2}x)}[/tex] Commutative, associative and distributive properties/[tex]-a = (-1)\cdot a[/tex]

4) [tex]\frac{2\cdot \sin x \cdot \cos x -2\cdot \sin^{2}x}{2\cdot \sin x \cdot \cos x +2\cdot \cos^{2}x}[/tex] [tex]\sin^{2}x + \cos^{2}x = 1[/tex]

5) [tex]\frac{(2\cdot \sin x)\cdot (\cos x-\sin x)}{(2\cdot \cos x)\cdot (\sin x +\cos x)}[/tex] Distributive and associative properties.

6) [tex]\frac{\sin x\cdot (\cos x-\sin x)}{\cos x\cdot (\sin x +\cos x)}[/tex] Existence of multiplicative inverse/Commutative and modulative properties.

7) [tex]\frac{\frac{\cos x -\sin x}{\cos x} }{\frac{\sin x + \cos x}{\sin x} }[/tex] [tex]\frac{\frac{x}{y} }{\frac{w}{z} } = \frac{x\cdot z}{y\cdot w}[/tex]

8) [tex]\frac{\frac{\cos x}{\cos x}-\frac{\sin x}{\cos x} }{\frac{\sin x}{\sin x}+\frac{\cos x}{\sin x} }[/tex] [tex]\frac{x+y}{w} = \frac{x}{w} + \frac{y}{w}[/tex]

9) [tex]\frac{1-\tan x }{1+\cot x}[/tex] Existence of multiplicative inverse/[tex]\tan x = \frac{\sin x}{\cos x}[/tex]/[tex]\cot x = \frac{\cos x}{\sin x}[/tex]/Result

Given m||n, find the value of x.
(2x-24)
(x+5)°

Answers

Answer in picture.
Hope this helps.

I just need the answer pls

Answers

Answer:

(3.5, 5) is my answer

the interior angles formed by the sides of a quadrilateral have measures that sum to 360 degrees. what is the value of x? enter your answer in the box
x =_____

Answers

Answer:

x = 59

Step-by-step explanation:

since the quadrilateral add up to 360 degrees,

X + X + (2x + 3 ) + (2x + 3) would equal 360 degrees

x + x + (2x + 3) + (2x + 3) = 360

6x + 6 = 360, addtion

6x = 354, subtraction

x = 59, division

What is (528^5 x 2419^9)^6 - 328?


Also don’t answer unless your fine with getting hundreds of notifications.

Answers

Answer:

Exact Form:

(41036433850368 ^6  x  2419 ^54 )− 328

Decimal Form:

2.48516121  x  10 ^264

Answer:

Heyyy T-T

Step-by-step explanation:

Consider the figure below.



What are the values of x and y?

Answers

Answers:

x = 14

y = 14

==========================================

Explanation:

The tickmarks indicate the sides x and y are the same length.

So y = x or x = y

We can use the Pythagorean theorem to say

a^2 + b^2 = c^2

x^2 + y^2 = (14*sqrt(2))^2

x^2 + x^2 = 14^2*(sqrt(2))^2

2x^2 = 196*2

x^2 = 196  ...... divide both sides by 2

x = sqrt(196)

x = 14

This must mean that y = 14 as well.

This triangle is an isosceles right triangle. We also consider it a 45-45-90 triangle because the three angles are 45, 45, and 90 degrees.

For any 45-45-90 triangle, the hypotenuse is always sqrt(2) times the leg length.

hypotenuse = leg*sqrt(2)

The contractor for a new school put a rectangular garden in the courtyard. The length of this garden is 5 feet longer than its width. If this area is 414 square feet, what is the length of the rectangle?

Answers

Answer:

23ft

Step-by-step explanation:

Area of the rectangle = LW

L is the length

W is the width

Given

Area = 414ft²

If the length of this garden is 5 feet longer than its width, then;

L = W+5

Substitute into the formula

414 = (W+5)W

414 = W²+5W

W²+5W-414 = 0

W = -5±√5²-4(-414)/2

W = -5±√25+1656/2

W = -5±√1681/2

W = -5+41/2

W = 36/2

W = 18ft

Since L = W+5

L = 18+5

L = 23ft

Hence the length of the rectangle is 23ft

A group of students formed a circle during a game.

The circumference of the circle was about 43.96 ft. ,

and the diameter of the circle was 14 ft.

Which expression best represents the value of π?

Answers

Answer and Step-by-step explanation:

C = circumference = 43.96

d = diameter = 14

C = [tex]\pi d[/tex]

Divide both sides by d.

[tex]\frac{C}{d} = \pi[/tex]

[tex]\frac{43.96}{14}[/tex] = [tex]\pi[/tex]

3.14 [tex]= \pi[/tex]

#teamtrees #WAP (Water And Plant)

The value of y varies directly with x. If x = 8 when y = 32, what is the value of x when
y = 112?
4
A B
14
с
28
D
448

Answers

the answer is (c) 28

explanation:
32/8=4
112/4=28


Is the function increasing or decreasing over the interval (-3,-1)? Explain.

Answers

Answer: Decreasing

Explanation:

The curve is going downhill as you move from left to right, and as you move from x = -3 to x = -1.

The interval notation of (-3,-1) means -3 < x < -1.

Since the curve is going downhill on this region, this means the function is decreasing on this interval.

Yes, the function is decreasing over the interval (-3,-1).

What is the function?

Functions are the fundamental part of the calculus in mathematics. The functions are the special types of relations. A function in math is visualized as a rule, which gives a unique output for every input x.

The given interval is (-3, -1).

The curve is going downhill as you move from left to right, and as you move from x = -3 to x = -1.

The interval notation of (-3,-1) means -3 < x < -1.

Since the curve is going downhill on this region, this means the function is decreasing on this interval.

Yes, the function is decreasing over the interval (-3,-1).

To learn more about the function visit:

https://brainly.com/question/28303908.

#SPJ2

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