In ΔKLM, m = 18 inches, ∠M=124° and ∠K=29°. Find the length of k, to the nearest 10th of an inch

Answers

Answer 1

Answer:

10.5

Step-by-step explanation:

sin29

k

=

sin124

18

Plug in. Opposite sides go together.

k=\frac{18\sin 29}{\sin 124} \approx 10.526 \approx 10.5

k=

sin124

18sin29

≈10.526≈10.5

Answer 2

The required length of k is 10.5 inches for the given triangle.

What is the sine rule?

The sine rule defines the side length ratios of triangles to their opposing angles. This proportion is true for all three sides and opposing angles.

a/sinA = b/sinB = c/sinC

The triangle is given in the question, as follows:

In ΔKLM, m = 18 inches, ∠M=124° and ∠K=29°.

We have to determine the length of k.

As per the sine rule, the required solution would be as:

m/sin∠M = k/sin∠K

Substitute the known values and we get

18/sin 124° = k/sin 29°

k = (18/sin 124°) × sin 29°

k ≈ 10.5

Thus, the length of k is 10.5 inches.

Learn more about the sine rule here:

https://brainly.com/question/28061648

#SPJ6


Related Questions

How many filled sandwich cookies would you need to reach of 1700 mm if you only had one top of the cookie, the stuffing and one bottom of the cookie? Height of top of cookie 3.5 mm height of stuffing 2 mm and height of bottom of cookie 3.5 mm

Answers

Answer:

??

Step-by-step explanation:

Write the number, (2 × 10) + (9 × 1) + (7 × 1/10) + (8 x 1/1,000) in standard form

Answers

Answer:

The number is 209.708

Step-by-step explanation:

IT'S ON KHAN

Answer:

the answer is 209.708

Step-by-step explanation:

Whenever u see something like 1/1,000, that means is a decimal

So the answer is simple

2 x 10 =20

9 x 1= 9

then u got the decimal

.708

so, the answer is 209.708

hope it helps :)

14.) Mr. Lovell was playing cards with his son. In the first round he earned 52

points. In the second round he lost 20 points. How would you write this as

an addition problem?

Answers

Answer:

That would be;

+52-20

Step-by-step explanation:

From the first part, he gained/earned 52 points

This is a positive so we have + 52

In the second round , he lost 20

This is a negative so we have - 20

Writing this as an addition problem, it will be;

+52-20

Anyone know the answers to this ?

Answers

Answer:

True False True

Step-by-step explanation:

ope this helps! :)

Brainliest pls?

Michael pays $30 to enter a state fair, plus $4 for each ride. Which of the following
equations represents his total cost?

A. y = 30x + 4
B. y = 34x
C. y = 4x + 30
D. y = 4x + 34

PLEASE HELPP!!!

Answers

Answer:

The required equation is:

[tex]y=4x+30[/tex]

So, Option C is correct option.

Step-by-step explanation:

Entry fee for fair = $30

Cost of one ride = $4

Cost of x rides = $4x

If y represents the total cost the equation will be sum, of entree fee and cost of x rides i.e

[tex]y=4x+30[/tex]

The required equation is:

[tex]y=4x+30[/tex]

So, Option C is correct option.

EAST MATH PLS HELP ASAP PLEASE PLEASE
If one side of a square is represented by x + 7, and the perimeter of the square is
represented by 8x - 20, what is the value of X?

Answers

4(x+7)=8x-20

4x+28=8x-20

28=4x-20

48=4x

x=12

I need help with this ​

Answers

Answer:

i know 4 is scalene

not sure about 3

I think the answer is also 3

What's the equation of a horizontal line through the point (4,-6)

Answers

y=-6 would be one equation

QUESTION: Determine if the statement is true or false? if false give an counterexample.

How is it true and false? can you help me please? Log*(f)4(3d)+log*(4)(3d)

the *() means its the base and below the log. Please help :)

oh my please its due in a few minutes certain answers only and please explain how its correct or I will bawl my eyes out...... (>^.^>) Thank you in advance.

PLEASEEEEEEEEEEEEEE NO FAKE ANSWERS OR YOU GET NO BRAIN CROWN AND REPORTED EXPLAIN PLEASE DUE IN FEW MINUTES :)))

Answers

Answer:

False

Step-by-step explanation:

Actual question is:

logf 4(3d) + log4 1 = log4 3d

Solution:

logf 4 + logf (3d)  + 0 = log4 (3d)logf 4 + logf (3d) = log4 (3d)

If we assume f = 4, then

log4 4 + log4 (3d) = log4 (3d)log4 4 = 0

but log4 4 = 1

1 = 0 is impossible

Therefore the statement is False

Solve for x pls help i don’t wanna fail :) if u don’t that’s fine

Answers

[tex]\huge\frak{Answer:-}[/tex]

[tex](8x - 8) + {100}^{\degree} = {180}^{\degree} [/tex]

[tex]\implies8x - 8 = 180 - 100[/tex]

[tex]\implies8x - 8 = 80[/tex]

[tex]\implies8x = 80 + 8[/tex]

[tex]\implies8x = 88[/tex]

[tex]\implies x = \frac{88}{8} [/tex]

[tex]\implies x = 11 \: (a)[/tex]

Why did we used the equation "(8x - 8) + 100° = 180°" to find x?

Because, sum of interior angle in the same side of two parallel lines are always equal to 180°.

Don't forget to give the "°" symbol ;)

If cosθ=3/5, find tanθ

Answers

Answer and step-by-step explanation:

cos = adj/hyp (in a right triangle)

cos0 = 3/5

adj = 3

hyp = 5

opp = sqrt( 5^2 - 3^2) = sqrt( 25-9) = sqrt(16) = 4 (Pythogorean theorem)

tan0 = opp/adj = 4/3

Answer:

[tex]\boxed {\boxed {\sf tan( \theta)=4/3}}[/tex]

Step-by-step explanation:

Cosine is equal to adjacent over hypotenuse.

cos(x)=adjacent/hypotenuse

We are given: cosθ=3/5

Therefore, the adjacent is 3 and the hypotenuse is 5.

We want to find tanθ. Tangent is equal to opposite over adjacent.

We need to find the other leg of the triangle, which is the "opposite". Use Pythagorean Theorem.

[tex]a^2+b^2=c^2[/tex]

The hypotenuse (c) is 5.

[tex]a^2+b^2=5^2[/tex]

One leg (a) is 3, the other (b) is unknown.

[tex]3^2+b^2=5^2[/tex]

Evaluate all the exponents.

[tex]9+b^2=25[/tex]

Subtract 9 from both sides of the equation.

[tex]9-9+b^2=25-9[/tex]

[tex]b^2=16[/tex]

Take the square root of both sides.

[tex]\sqrt{b^2} =\sqrt{16}[/tex]

[tex]b=4[/tex]

Now we know the "opposite" is 4. We can find the tangent now.

[tex]tan(x)=opposite/adjacent[/tex] (opposite=4, adjacent=3)

[tex]tan( \theta)=4/3[/tex]

The tangent of theta is 4/3

Tyson can paint 5 pictures in 12 ½ hours. At this rate, which proportion can be used to find p, the number of pictures he can paint in 8 hours?

Answers

5/12.5 = p/8
0.4 = p/8
P = 3.2 pictures

oint Q is plotted on the coordinate grid. Point P is at (40, −20). Point R is vertically above point Q. It is at the same distance from point Q as point P is from point Q. Which of these shows the coordinates of point R and its distance from point Q? (5 points) On a coordinate grid from negative 50 to positive 50 in increments of 10, Point Q is plotted at the ordered pair negative 10, negative 20. Group of answer choices Point R is at (−10, −10), a distance of 30 units from point Q Point R is at (−10, −30), a distance of 50 units from point Q Point R is at (−10, 30), a distance of 50 units from point Q Point R is at (−10, 10), a distance of 30 units from point Q

Answers

Answer:

The Awnser Is C

Step-by-step explanation:

Hope This Helps! Have A Great Day

Answer:

I think it Is C 6..??

Step-by-step explanation:

I could me wrong IM srry also srry for late respond

The sum of the ages of David and Morgan is 78 years. 7 years ago, David's age was 3 times Morgan's age. How old is David now?

Answers

Answer:

David is 55 years old

Morgan is 23 years old

__________________________________________________________

Step-by-step explanation:

Let the age of David = x years

Let the age of Morgan = y years

We are Given:

The sum of David and Morgan's age is 78

7 years ago, David's age was 3 times Morgan's age

__________________________________________________________

Making the equations:

from the first statement, the sum of their ages is 78

So, we can write it as:

x + y = 78

from the second statement,7 years ago, David's age was 3 times Morgan's age

David's age 7 years ago = (x - 7)

Morgan's age 7 years ago = (y-7)

So, we can write the equation as:

(x - 7) = 3(y - 7)

which can be simplified to:

x = 3y - 14

__________________________________________________________

Solving the equations:

We have the 2 equations:

x + y = 78x = 3y - 14

from the first equation, we can say that:

x = 78 - y

Using this value in the second equation:

x = 3y - 14

78 - y=  3y - 14                                                             [since x = 78 - y]

78 + 14 = 4y

4y = 92

y = 23

Using this value in the first equation:

x + y = 78

x + 23 = 78                                                                  [since y = 23]

x = 55

__________________________________________________________

The Age of David and Morgan:

Since we assigned x to the age of David:

David is 55 years old

We assigned y to the age of Morgan. So,

Morgan is 23 years old

A full glass of water can hold á of a bottle.
How many glasses of water can be filled with 3 bottles of water?

Answers

Answer:

2

Step-by-step explanation:

lol

Find the area of a square is 12cm find the length​

Answers

Answer:

The length would be l=3.46

Step-by-step explanation:

what is the quotient of -45/-5

Answers

Answer:-9

Step-by-step explanation:

-9

Answer:-45 -5

Step-by-step explanation:

Every year on November 1, the Stablo family plants a tree. This tradition has
happened for generations and the first tree the family planted is now 183 years
old. Two of the trees were planted in their backyard; one is an apple tree and the
other is a maple tree. The maple tree is older than 100, but was not the first tree
planted. On November 1 of this year, the age of the maple tree is fifteen times
the age of the apple tree.
On November 1 of some year from now, the age of the maple tree will be eleven
times the age of the apple tree. How old are the trees that year?

Answers

Answer:

64

Step-by-step explanation:

rff

help pls! thank u! <3

Answers

Answer:

she completed 29  

Step-by-step explanation:

if she completed 8 in 6 she made 2  more so you add 2 to the 27 which is 29 hope that is the answer

a 3 foot wide wood deck will be built around a rectangular shaped pool that measures 15 feet by 30 feet. the resulting deck shape is also rectangular. if the lumbar cost is $10 square yard. what is the cost of the wood for the deck?

Answers

Answer:

she has some big feet

Step-by-step explanation:

do u know th

hellllp me plllllllzzzzzzzz​

Answers

Answer:

x = 4

QS = 20

Step-by-step explanation:

PS is all the numbers added together.

PQ + QR + RS = PS

(PLUG IN)

8 + 3x - 1 + 9 = 28 (collect like terms)

3x + 16 = 28 (subtract 16 on both sides)

3x = 12 (divide by 3 on both sides)

x = 4

QR + RS = QS

(PLUG IN)

3(4) - 1 + 9 = QS (distribute)

12 - 1 + 9 = QS (collect like terms)

20 = QS

Hope this helps ya!!

State if the triangles in each pair are similar. If so, state how you know they are similar.

Answers

Answer:

A) similar; SAS similarity.

Step-by-step explanation:

SAS Triangle Similarity

The SAS criterion for triangle similarity states that if two sides of one triangle are proportional to two sides of another triangle and their included angles are congruent, then the triangles are similar.

We are given two triangles BCD and JKL. Sides DB and JL have a ratio of 90/20 = 4.5

Sides JK and BC have a ratio of 81/18 = 4.5

Since both sides are proportional and their included angle of 43° are congruent, then both triangles are similar, SAS similarity.

A) similar; SAS similarity.

A grocery sells green apples and red apples. On Monday, the store put 500 of each kind of apple on display. That day, the store sold 42 red apples and 57 green apples. On Tuesday, the store sold 87 red apples and 75 green apples. On Wednesday, the store sold 29 red apples and 38 green apples. a. Write an addition expression using negative integers and find the number of red apples the store sold.

Answers

Answer:

342 red apples

Step-by-step explanation:

42+87+29=158

500-158=342

Answer:

342

Step-by-step explanation:

i took  the quiz on brainly and got a 100% Hope this helps

Which is the better buy?
17-ounce jar of pickles for $8.84
2-pound jar of pickles for $25,28

Answers

Answer:

The 17 ounce. Less money per pickle.

Step-by-step explanation:

1 pound = 16 ounce
2 pound = 32 ounce
8.84/17 = $0.52 per ounce
25.28/32 = $0.79 per ounce

Based on those, the 17 ounce jar has a better deal

PLZZZZ HELP MEEEEE FASTTTTT I GONNNA CRY
At a local garden shop, a customer pays $48 for 5 gerber daisies and 4 lily-of-the-valleys. Another customer pays $58 for 4 gerber daisies and 6 lily-of-the-valleys. Part A: Write a system of equations you can use to find the cost x of one gerber daisy and the cost y of one lily-of-the-valley. Part B: Solve the system of equations. Show your work or explain your steps.

Answers

Answer:

A lily costs $7 and a geranium $4.

Step-by-step explanation:

From the question we can write two equations. let the number of lilies be l and the number of geraniums be g, then:

5

g

+

4

l

=

48

4

g

+

6

l

=

58

Multiply the first equation by 4 and the second by 5, the number of lilies in the other, gives:

20

g

+

16

l

=

192

20

g

+

30

l

=

290

Subtract the first equation from the second gives:

14

l

=

98

which dividing by 14 gives

l

=

7

Substituting the value

l

=

7

in the first equation gives:

5

g

+

28

=

48

Subtract 20 from both side gives:

5

g

=

20

divide by 5 gives

g

=

4

So, a lily costs $7 and a geranium costs $4.

Answer:A lily costs $7 and a geranium $4.

Step-by-step explanation:From the question we can write two equations. let the number of lilies be L and the number of geraniums be g, then:

5g+41=48

4g+6 L=58

Multiply the first equation by 4 and the second by 5, the number of lilies in the other, gives:

20g + 16 L=192

20g + 30 L=290

Subtract the first equation from the second gives:

14 L =98 which dividing by 14 gives L=7

Substituting the value L = 7

in the first equation gives:

5g + 28 = 48

Subtract 20 from both side gives:

5g = 20

divide by 5 gives

g = 4

So, a lily costs $7 and a geranium costs $4.

Describe the likelihood that a point chosen inside the circle will also be inside the hexagon?

Answers

Answer: likely

Step-by-step explanation:

B) Likely

Step-by-step explanation:

i just just answered the question on e d g e n u i t y

i hope this helps <3

Solve for x.
14 = 28 + 7x

Answers

Answer:

X = 2

Step-by-step explanation:

14= 28 + 7x

28 - 14 = 7x

14 = 7x

14 / 7

2 = x

Answer:

x  =  − 2

Step-by-step explanation:

HELPP
Whaaaa the slope????

Answers

Answer:Mx +b

Step-by-step explanation:

Answer:

The slope of a line is a measure of its steepness. Mathematically, slope is calculated as "rise over run" (change in y divided by change in x).

Step-by-step explanation:

Hope this helps

Find the equation of a line that passes through the points (-1,-3) and (1,-5).
Leave your answer in the form y = mx + c​

Answers

Answer:

Y= -1x - 4

Step-by-step explanation:

name the segment in the scaled copy that corresponds to segment AD

Answers

Answer:

Give diagram please?.

Step-by-step explanation:

???

I need a diagram to answer. Or at least the answer choices.

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