Find the slope on the graph

Given:

In  ΔKLM, l = 48 inches, ∠K=55° and ∠L=46°.

To find:

The length of k, to the nearest inch.

Solution:

According to Law of sine,

[tex]\dfrac{a}{\sin A}=\dfrac{b}{\sin B}=\dfrac{c}{\sin C}[/tex]

In ΔKLM, using law of sine, we get

[tex]\dfrac{k}{\sin K}=\dfrac{l}{\sin L}[/tex]

[tex]\dfrac{k}{\sin (55^\circ)}=\dfrac{48}{\sin (46^\circ)}[/tex]

[tex]k=\dfrac{48\times \sin (55^\circ)}{\sin (46^\circ)}[/tex]

On further simplification, we get

[tex]k=\dfrac{48\times 0.819152}{0.7193398}[/tex]

[tex]k=\dfrac{39.319296}{0.7193398}[/tex]

[tex]k=54.66025 [/tex]

Approximate the value to the nearest inch.

[tex]k\approx 55 [/tex]

Therefore, the length of k is 55 inch.

The length of k, to the nearest inch is  ∠K=55°.

Since

In ΔKLM, l = 48 inches, ∠K=55° and ∠L=46°.

Now here we apply law of sine

[tex]a\div sin\A = b\div sin\ B = c\div sin\c \\\\k\div sin \ k = l\div sin\ L\\\\k\div sin\ 55 = 48\div sin\ 66[/tex]

k = 54.66

k = 55 degrees

hence, The length of k, to the nearest inch is  ∠K=55°.

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Answer:

3.14

Step-by-step explanation:

d=2

A= pi*r^2 = pi*(d/2)^2 = pi*(2/2)^2= pi*1 =pi =3.14

Answer:

$3.11

Step-by-step explanation:

It is given that,

Salvador bought 6 lbs of coffee for $18.66.

We need to find the unit price per pound.

The unit price per pound is calculated by dividing total cost by 6 as follows :

[tex]C=\dfrac{18.66}{6}\\\\=\$3.11[/tex]

Hence, the unit price per pound is $3.11

i don't know how to explain it I can just tell you that 7 is (1,5) 8 is (1,40) 9 is (-16,-7) and 10 is (8,5)

Answer:

34

Step-by-step explanation:

15 mins is 1/4 od an hour so mulitply 8 1/2 (8.5) x 4

Answer:

First we figure out how many words in total she has to read.

This would be the (number of pages) times (number of words per page).

820 * 350 = 287000

so she has to read 287000 words

we divide this by 110 to get how long it would take for her to finish (in minutes)

287000 / 110 = 2609.09090909....

then since there are 60 minutes in an hour, we divide that number by 60

2609.09090909... / 60 = 43.48484848...

Therefore it would take her about 43.5 hours to complete her assignment.

Step-by-step explanation:

Answer:

Number of video game = 20

Step-by-step explanation:

Given:

Total number of project = 56

Ratio = 5:9

Find:

Number of video game

Computation:

Number of video game = 56[5/(5+9)]

Number of video game = 56[5/(14)]

Number of video game = 280 / 14

Number of video game = 20

Answer:

400 points for you

Step-by-step explanation:

n + 5 = 2n - 6

n - 2n = -6 - 5

-n = -11

n = -11/-1

n = 11

FG = 2n - 6

FG = 2(11) - 6

FG = 22 - 6

FG = 16

Answer:

Your answer is 3.

Step-by-step explanation:

I hope this helped.

Answer:

[tex]c + r \leq 10[/tex]

[tex]7.5c + 10r \geq 56[/tex]

Step-by-step explanation:

Given

Hours = not more than 10

Earnings = At least 56

Required

Represent this as a system of inequalities

Let c represents the cleaning job

Let r represents the retail job

The number of hours

Not more than means [tex]\leq 10[/tex]

So:

[tex]c + r \leq 10[/tex]

Earnings

c = 7.50 per hour

r = 10 per hour

Earnings = At least 56

At least 56 means [tex]\geq 56[/tex]

So;

[tex]7.5c + 10r \geq 56[/tex]

Hence, the system is:

[tex]c + r \leq 10[/tex]

[tex]7.5c + 10r \geq 56[/tex]

Answer:

Please check the explanation.

Step-by-step explanation:

We also know that the slope-intercept form of the line equation is

[tex]y=mx+b[/tex]

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

Given the lines

1)

Comparing with y=mx+b, the slope of y = 6х - 3:

m₁=6  

Comparing with y=mx+b, the slope of y = - 1/6x + 7:

m₂=-1/6

As

m₁ × m₂ = -1

6 ×  - 1/6 = -1

-1 = -1

Thus, the lines y = 6х - 3 and y = - 1/6x + 7 are perpendicular.

2)

Comparing with y=mx+b, the slope of y = 3x + 2:

m₁=3  

simplifying to write in slope-intercept form

y=3x-3

Comparing with y=mx+b, the slope of y=3x-3:

m₂=3

As the slopes of y = 3x + 2 and 2y = 6x - 6 are equal.

i.e. m₁ = m₂ → 3 = 3

Thus, the lines y = 3x + 2 and 2y = 6x - 6 are paralle.

3)

simplifying to write in slope-intercept form

y = 4x - 3/2

Comparing with y=mx+b, the slope of y = 4x - 3/2:

m₁=4  

simplifying to write in slope-intercept form

y=-1/4x-1/4

Comparing with y=mx+b, the slope of y=-1/4x-1/4:

m₂=-1/4

As

m₁ × m₂ = -1

4 ×  - 1/4 = -1

-1 = -1

Thus, the lines 8x - 2y = 3 and x + 4y = - 1 are perpendicular.

4)

simplifying to write in slope-intercept form

y = -3/2x + 5/2

Comparing with y=mx+b, the slope of y = -3/2x + 5/2:

m₁=-3/2  

simplifying to write in slope-intercept form

y = -2/3x - 1

Comparing with y=mx+b, the slope of y = -2/3x - 1:

m₂=-2/3

As m₁ and m₂ are neither equal nor their product is -1, hence the lines neither perpendicular nor parallel.

5)

simplifying to write in slope-intercept form

y=6x+5

Comparing with y=mx+b, the slope of y=6x+5:

m₁=6  

simplifying to write in slope-intercept form

y=6x-1

Comparing with y=mx+b, the slope of y=6x-1:

m₂=6

As the slopes of y - 5 = 6x and y - 6x = -1 are equal.

i.e. m₁ = m₂ → 6 = 6

Thus, the lines y - 5 = 6x and y - 6x = -1 are paralle.

6)

Comparing with y=mx+b, the slope of y = 3х + 9:

m₁=3  

Comparing with y=mx+b, the slope of y =  1/3x - 4:

m₂=1/3

As m₁ and m₂ are neither equal nor their product is -1, hence the lines neither perpendicular nor parallel.

Answer:

you make 15 birdhouses, your friend makes 30.

Step-by-step explanation:

Answer:

hi

Step-by-step explanation:

hdisbkaab

Answer:

-5/6

Step-by-step explanation:

Multiplying numerators and denominators to get the LCD in all fraction denominators

=−7×38×3−1×83×8+3×38×3

Then rewriting the equation with the equivalent fractions

=−2124−824+924

With like denominators we can operate on just the numerators

=−21−8+924

=−2024

Simplifying the answer

=−56

Answer:

4j=-4

j=-1

Step-by-step explanation:

Answer:

4j=-4  j=-1

Step-by-step explanation:

Answer:

d

Step-by-step explanation:

this is the correct answer on edge people.

A sample of 10 gardenia bushes in the shade and 10 in full sun will help us determine the most representative result.

"Scientific testing involves figuring out what we would expect to observe if an idea were correct and comparing that expectation to what we actually observe.

Any aspect of the natural world could be explained in many different ways. It is the job of science to collect all those plausible explanations and to use scientific testing to filter through them, retaining ideas that are supported by the evidence and discarding the others."

Hence,

from the definition it is clear that a sample of 10 gardenia bushes in the shade and 10 in full sun.

To know more about scientific testing here

https://brainly.com/question/1598630

#SPJ3

Answer:

B is the answer for the question

Answer:

MP=18

Perimeter of ∆LMP=42

Answer:

MP= 18

Perimeter is 42

Step-by-step explanation:

The midsegment is always half of the third side

LP=LO/2

LP=15

18+15+9=42

Answer:

one solution

Step-by-step explanation:

they only meet up once

get a new computer br.uh

Answer:

g= (9,8)  f= (-5,1)

Step-by-step explanation:

you're welcome =)

Answer:

9/10 and it can't be simplified

Step-by-step explanation:

BRAINLIEST PLEASE  

Answer:

9/10

Step-by-step explanation:

1/2 = 5/10

2/5 = 4/10

5/10+4/10= 9/10

Answer:

C

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

Answer:

with what

Step-by-step explanation:

Answer:

Oooooo

Step-by-step explanation:

Answer:

70m-175=6m-12

70m-6m=175-12

64m=163

m=163/64

Answer:

i think its c

but im not sure

Step-by-step explanation:

Answer:

B. 7 cups

Step-by-step explanation:

16+16=32

3 1/2+3 1/2=

3+3=6 1/2+1/2=1

6+1=7

Answer:

B. 7 cups

Step-by-step explanation:

31/2 cups for 16 servings.

32 servings are two 16 servings

Convert 3 1/2 to fraction 7/2 then multiply by 2

7 cups