What is the tangent ratio of angle KJL?

The first coefficient is 2 and the last term is 6. They multiply to 2*6 = 12.

Now we must find two factors of 12 that add to 7 (the middle coefficient).

Through trial and error, you should find that:

3*4 = 12

3+4 = 7

So 3 and 4 are the numbers we're after. We'll split the 7m into 3m+4m and use the factor by grouping method as shown in the steps below.

2m^2 + 7m + 6

2m^2 + 3m + 4m + 6

(2m^2 + 3m) + (4m + 6)

m(2m + 3) + 2(2m + 3)

(m + 2)(2m + 3)

(2m + 3)(m + 2)

The order of the factors doesn't matter since something like 2*3 is the same as 3*2.

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Verifying the answer:

You can use technology like you did to check the answer, but here's one way to do it without a calculator.

(2m + 3)(m + 2)

n(m + 2) ...... let n = 2m+3

mn + 2n .... distribute

m( n ) + 2( n )

m(2m+3) + 2(2m+3) .... plug in n = 2m+3

m*2m + m*3 + 2*2m + 2*3 .... distribute

2m^2 + 3m + 4m + 6

2m^2 + 7m + 6

We arrive back at the original trinomial, so we have confirmed the answer.

Answer:

you need to find that missing side... so (A squared) x (B squared) = (C squared)

A squared = 5

B squared is missing

C squared = 6

A=25

C=36

36-25= B squared....... B= (square root of 11)

now you need to plug in the numbers for the 6 trig equations...

sin0 = 5/6

cos0 = (square root of 11)/6

tan0 = 5/(square root of 11) which actually equals    5(square root of 11)/11

csc0 = 6/5

sec0= 6/ (square root of 11) which actually equals   6(square root of 11)/11

cot0 = (square root of 11/5

Step-by-step explanation:

Answer:

42cm

Step-by-step explanation:

It's a rectangle so sides are 6, 6, 15, 15. Σs = 42.

Minus square root of 2, minus square root of 3, minus pi, minus e, etc. Or, to be a bit more fancy, 1 - pi, 2 - pi, 3 - pi, pi - 4, pi - 5, 2 - e, e - 3, square root of 2 minus 2, etc.

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Answer:

-3/8

Step-by-step explanation:

Answer:

16/81

Step-by-step explanation:

(-2/3)^4

expand...

-2/3*-2/3*-2/3*-2/3

multiply

numerator: -2*-2*-2*-2=16

denominator: 3*3*3*3=81

Thus the fraction is 16/81

Hope this helps!!!

Answer:

I'm pretty sure that it's exponential but I'm still going over this topic in class.

Answer:

12

Step-by-step explanation:

its as easy as this:
what is 4 times 3?

12

Answer: the answer is 12 .

Step-by-step explanation: multiply 4 shirts times 3 shorts will give you 12 . HOPE IT HELPS YOU .PLEASE GIVE BRAINLIEST

.THANKS .

The probability of winning a lottery by selecting the correct six integers from the positive integers not exceeding 50 is 6 × 10–8.

Probability is a measure of the likelihood of an event to occur. Many events cannot be predicted with total certainty.

The sample-set S consists of all combinations of 6 distinct elements of the set of 50 elements, and;

[tex]\rm |S| =C(50, 6)=\dfrac{50!}{44!6!}[/tex]

The winning event E ⊆ S is just one winning combination, so that

|E| = 1.

Therefore, the probability of winning a lottery is;

[tex]\rm P(E)=\dfrac{|E|}{|S|}\\\\ P(E)=\dfrac{1}{\dfrac{50!}{44!6!}}\\\\\\ P(E)=\dfrac{44!6!}{50!}\\\\ P(E)= 6 \times 10 {-8}[/tex]

Hence, The probability of winning a lottery by selecting the correct six integers from the positive integers not exceeding 50 is 6 × 10–8.

Learn more about probability here;

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Answer:

114 Feet^2

Step-by-step explanation:

Volume is length*width*height

So we can cut our shape into 2 rectanges.

The bottom one will have the dimensions of 6*1*3 which is 18 feet

And the top one will have the dimensions of 8*4*3 which is 96 feet

Add them up, 96+18=114 feet

Answer:

answer A

Step-by-step explanation:

nnnnmmmkkkkkkookl

The circumstances where an individual will feel disadvantaged if they misplace or lost a parking ticket is that:

A parking ticket is a piece of paper informing someone that they have parked a car unlawfully or for an excessively lengthy period of time and must pay a fine.

It is also know to be a notice informing a driver of a fee levied for improperly parking, usually written by a traffic officer and placed to a vehicle windscreen.

However, an individual will feel disadvantaged if they misplace or lost the ticket because:

Learn more about a parking ticket here:

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Answer:

a)5.83cm

Step-by-step explanation:

You have to do 3² × 5² to get the length of AC (the diagonal length of the base of the rectangle) which is √70 or 5.83 rounded to 2 d.p.

not sure about the 2nd bit, but you may have to use trigonometry

Answer:

About 28.27 inches² per slice

Step-by-step explanation:

   First, we will find the area of the pizza. Since it is a pizza, we will assume it is a circle and will use the formula for area of a circle.

   24-inch diameter / 2 = 12-inch radius

   A=πr²

   A=π(12)²

   A ≈ 452.39 inches²

   Now, since the pizza is cut into 16 slices, we will divide the total area by 16.

452.39 inches² / 16 ≈ 28.27 inches² per slice

-0.6875

[tex]Convert\ -11/16\ to\ decimal\\ \downarrow\\ -0.6875[/tex]

I hope this helps you

:)

Answer: -0.6875.

Step-by-step explanation: -1/16 is -0.0625, and if you add -1/16 eleven times, you get -0.6875.  Therefore, -11/16 as a decimal is -0.6875.

Have a great day! :)

Answer:

9 months

Step-by-step explanation:

$500 - $240 = $260

$260/$30 = 8.67(3s.f.) ≈ 9 months

Recheck:

Balance after 9 months = 240 + (30×9) = 240 + 270 = $510

                                      ∴ $510 > $500

Answer:

Sorry for my handwriting

[tex]180(x - 2) = sum[/tex]

where x is the number of sides of the polygon.

[tex]180x - 360 = 5940[/tex]

[tex]180x = 5940 + 360[/tex]

[tex]180x = 6300[/tex]

[tex]x = \frac{6300}{180} = 35 \: sides[/tex]

Answer:

Step-by-step explanation:

I haven't got time to do all these by I'll give you the method in each case.

You have to make the x or y term equal (or 1 term + and other -) in both equations before adding or subtracting.

A . Multiply  equation 2 by 2 and subtract (to eliminate x)

- don't forget to multiply EACH TERM by 2.

B. Multiply  equation 2 by -2 and add.

C.  Multiply  equation 1 by 3 and equation 2 by 2 ( this will give -6y and +6y in the resulting equations ) so  you then add to eliminate y.

D.  Multiply equation 1 by 13 and equation  and equation 2 by 2 to eliminate x then add.

Answer:

6

Step-by-step explanation:

4 time one is 1

plug in 1 for m

and you got 4 - -2

witch both negatives make a positive

Given -

To find -

Solution -

We know to find the perimeter of the quarter of a circle we use the formula,

1/4 × circumference of the circle

= 1/4 × 2πr

= 1/4 × 2×3.14×3.57

= 2.8 yards

Answer:

x=[80]

Step-by-step explanation:

angle 1+angle 2+angle x=180

50 +50+x=180

100+x=180

100-100+x=180-100

x=80

Answer:

80

Step-by-step explanation:

The triangle on the image is an isosceles triangle so both of the bottom angles' measure = 50

The sum of interior angles in a triangle is equal to 180

if two angles has 50 degrees then x:

50 + 50 + x = 180

100 + x = 180 subtract 100 from both sides

x = 80

The current price of the stock given the dividend, cost of equity and growth rates is $46.90.

Thw two-stage dividend growth model would be used to determine the value of the stock.

First stage:

Second stage:

Y3 = (1.69 X 1.06) / (0.095 - 0.06) = 51.059

Find the present value of these cash flows

(1.344 / 1.095) + (1.505 / 1.095²) + (1.69 / 1.095³) + (51.059/1.095³) = $46.90

To learn more about the two stage dividend model, please check: https://brainly.com/question/26564273

Answer:

intersect at (-1,-3)

Step-by-step explanation:

y = 4x + 1. the points should be at (0,1) and (-0.25,0) and is an infinite line in both directions.

y = -2x - 5. the points should be at (-2.5,0) and (0,-5) and is an infinite line in both directions.

both the lines meet at (-1,-3) so make a point at that location

Reason:

The central angle is the same measure as the arc it subtends.

Answer:

the range of the function.

Step-by-step explanation:

Hope this helps! Please let me know if you need more help or think my answer is incorrect. Brainliest would be MUCH appreciated. Have a wonderful day!

Answer:

The rate "20 pounds per 4 feet", doesn't belong with the other three because you get "5 pounds per foot" for the unit rate and for the other three, you get "4 pound per foot" for the unit rate.

Step-by-step explanation:

Unit rate = How much of something per 1 unit of something else

We write this as a ratio with a denominator of one

In this case, we are using "pound per foot"

1. "8 pounds for every 2 feet"

You can find the unit rate by dividing the first term of the ratio by the second term

[tex]\mathrm{\dfrac{ 8\:pounds }{ 2\:feet }}[/tex]

Simplify

[tex]\mathrm{4\:pounds}[/tex]

Unit rate = 4 pounds per foot

2. "12 pounds per 3 feet"

First, write the rate as a fraction

[tex]\mathrm{\dfrac{ 12\:pounds }{ 3\:feet }}[/tex]

Next, divide the numerator and denominator by 3

[tex]\mathrm{\dfrac{ 12\:pounds \div 3 }{ 3\:feet \div 3 }}[/tex]

Lastly, simplify and turn the denominator equal to 1

[tex]\mathrm{\dfrac{ 4\:pounds }{ 1\:foot }}[/tex]

Unit rate = 4 pounds per foot

3. "20 pounds per 4 feet"

First, write the rate as a fraction

[tex]\mathrm{\dfrac{ 20\:pounds }{ 4\:feet }}[/tex]

Next, divide the numerator and denominator by 4

[tex]\mathrm{\dfrac{ 20\:pounds \div 4 }{ 4\:feet \div 4 }}[/tex]

Lastly, simplify and turn the denominator equal to 1

[tex]\mathrm{\dfrac{ 5\:pounds }{ 1\:foot }}[/tex]

Unit rate = 5 pounds per foot

4. "24 pounds for every 6 feet"

You can find the unit rate by dividing the first term of the ratio by the second term

[tex]\mathrm{\dfrac{ 24\:pounds }{ 6\:feet }}[/tex]

Simplify

[tex]\mathrm{4\:pounds}[/tex]

Unit rate = 4 pounds per foot

The rate that doesn't belong is "20 pounds per 4 feet"

The volume of the cross-section perpendicular to the solid is the amount of space in the cross-section

The question is incomplete;

So, I will give a general explanation on how to set up a definite integral for volume of a solid

Assume the solid is a cone;

Using the disk method, the integral of the volume is:

[tex]V = \int\limits^a_b {\pi r(x)^2} \, dx[/tex]

Using the washer method, the integral of the volume is:

[tex]V = \int\limits^a_b {\pi [R(x)^2 -r(x)^2 ]} \, dx[/tex]

Read more about volume integrals at:

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Answer: See below

Step-by-step explanation:

a) There is a correlation between the number of employees in the plant and the number of products produced yearly. Specifically, a positive correlation exists because, as we can see on the table, as the number of employees increases, the number of products also increases. And the rate of increase is constant.

b) Let the function be: y = mx + b

When x = 0; y = 120

So:

120 = 0 + c

c = 120

Now the slope:

[tex]\text { Slope }=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}=\frac{200-120}{10-0}=\frac{80}{10}=8[/tex]

Therefore, the equation that best fits the data is y = 8x + 120

c) The slope in the function represents the constant rate of change, meaning that as the number of employees increases by 1, the number of products produced monthly increases by 20. While the y-intercept of the plot, which is 120, indicates the constant number of products, that is to say, when there are no employees, there are still 120 products.