What is the tangent ratio of KJL? (Question and answers provided in picture.)

What Is The Tangent Ratio Of KJL? (Question And Answers Provided In Picture.)

Answers

Answer 1

Answer:

Option (1)

Step-by-step explanation:

The given triangle JKL is an equilateral triangle.

Therefore, all three sides of this triangle will be equal in measure.

Side JK = JL = KL = 48 units

Perpendicular LM drawn to the base JK bisects the base in two equal parts JM and MK.

By applying tangent rule in ΔJML,

tan(∠KJL) = [tex]\frac{\text{Opposite side}}{\text{Adjacent side}}[/tex]

                = [tex]\frac{\text{LM}}{\text{JM}}[/tex]

                = [tex]\frac{\text{LM}}{24}[/tex]

Since, Sin(K) = [tex]\frac{\text{Opposite side}}{\text{Hypotenuse}}[/tex]

Sin(60)° = [tex]\frac{\text{LM}}{48}[/tex]

[tex]\frac{\sqrt{3}}{2}=\frac{\text{LM}}{48}[/tex]

LM = 24√3

Now, tan(∠KJL) = [tex]\frac{\text{LM}}{24}[/tex]

                          = [tex]\frac{24\sqrt{3} }{24}[/tex]

Therefore, Option (1) will be the answer.


Related Questions


Find the mean, median, and mode

Answers

Answer:

Mean = $70.8

Median = $70

Mode = $60

Step-by-step explanation:

From the line plot attached,

Prices of the sunglasses are,

$20, $20, $50, $50, $50, $60, $60, $60, $60, $60, $60, $70, $70, $70, $80, $80, $80, $80, $90, $90, $90, $90, $100, $100, $130

Since mean of the data = Average of the terms

                                       [tex]=\frac{\text{Sum of the terms in the data set}}{\text{Number of terms}}[/tex]

                                       = [tex]\frac{2(20)+3(50)+6(60)+3(70)+4(80)+4(90)+2(100)+130}{(2+3+6+3+4+2+1)}[/tex]

                                       = [tex]\frac{40+150+360+210+320+360+200+130}{25}[/tex]

                                       = [tex]\frac{1770}{25}[/tex]

                                       = $70.8

Median = Middle term of the data set

Since number of terms of the data set are odd (25)

Therefore, median = [tex](\frac{n+1}{2})\text{th term}[/tex] [where n = number of terms in the data set]

                               = [tex]\frac{25+1}{2}[/tex]

                               = 13th term

13th term of the data set is $70.

Therefore, Median = $70

Mode = Term repeated the most

In the data set $60 is the term which is repeated the most (6 times).

Therefore, Mode = $60

Find the GCF of 15 and 25​

Answers

Answer:  5

15 factors into 5*3

25 factors into 5*5

The common factor is 5, and this is the largest common factor between 15 and 25.

Which of the following intervals is the graph decreasing?

Answers

Answer:

B

Step-by-step explanation:

Values of y are decreasing where x is in the range (-4;02)

Use a calculator to find the mean of the data.
{225, 240, 199, 238, 205, 241, 225, 233, 219, 221, 222,
210, 195, 230, 225, 214, 234, 204, 240, 199, 208, 245}

Answers

Answer:

220.455

Step-by-step explanation:

The pepper plant has 2/3 as many fruits on it as the tomato plant has. The tomato plant has 9 fruits on it. How many fruits does the pepper plant have on it?

Answers

Answer:

The pepper plant has 15 fruits on it.

Step-by-step explanation:

Let the tomato plant have x plants. Let the pepper plant have y plants. Since the pepper plant has 2/3 more fruits on it than the tomato plant, we have that y - x = 2x/3

collecting like terms,

y = 2x/3 + x

The above is the number of plants the pepper plant has.

y = 2x/3 + x

y = (2x + 3x)/3

y = 5x/3

Since x = number of fruits on tomato plant = 9, then

y = 5x/3

y = 5(9)/3

y = 5 × 3

y = 15

Since y = number of fruits on pepper plant = 15

So, the pepper plant has 15 fruits on it.

find the area of circle having its radius 15cm​

Answers

Answer:

A≈706.86

Step-by-step explanation:

welcome to brainly

Answer:

Let π =22/7

area of circle = πr²

= 706.86

Step-by-step explanation:

If you like my answer than please mark me brainliest thanks

Vince went on a 333 day hiking trip. Each day, he walked 3\4 ​the distance that he walked the day before. He walked 83.2583, point, 25 kilometers total in the trip.

Answers

Answer:

x= 36 km

Step-by-step explanation:

Vince went on a 3 day hiking trip. Each day, he walked 3/4 the distance that he walked the day before. He walked 83.25 kilometers total in the trip. How far did Vince walk on the 1st day of the trip?

Assume vince walked x km on the first day .

The following equation can be formed

x + 3/4 x + (3/4)^2 x = 83.25

x + 0.75x + 0.5625x = 83.25

Add the like terms

2.3125x = 83.25

Divide both sides by 2.3125

x = 36 km.

Answer:

36

Step-by-step explanation:

I NEED HELP FAST PLEASE

Answers

Answer:

3

Step-by-step explanation:

3

The answer to the question is number 3

When was the first Bible created?????

Answers

Answer:

Started- 1200BC

Moses wrote the book of Torah.

Ended- 96 CE

John wrote the last book, The book of 'revelation'

Step-by-step explanation:

It took 1400 years to write it.

40 people around 38 people wrote the Bible even though the main author of the book is Holy Spirit.

The Bible has 2 sections:

Old testamentNew testament

Old testament

Consists of 39 books.

Also referred to as taNaK which means the 'old testament' in Hebrew.

Based on the first five books of the testament (Torah or Pentateuch)

Written before the birth of Jesus Christ.

New testament

Consists of 27 books.

Written after the birth of Jesus Christ.

Based on the teachings and life of Christ (The Gospel).

Apocrypha:

Written between the Old testament and the New Testament.

Some denominations of Christianity don't believe in the Apocrypha.

Took 400 years to write it.

Hope this helps ;) ❤❤❤

Answer:

k Nishant

Step-by-step explanation:

The Old Testament is the original Hebrew Bible, the sacred scriptures of the Jewish faith, written at different times between about 1200 and 165 BC. This your answer

if A ={1,2,3,4} and B={3,4,5,6} find A-B.​

Answers

Answer: {1,2} is the answer.

Step-by-step explanation:

A-B

{1,2,3,4}-{3,4,5,6)

= {1,2}

trigonometric identities

Answers

With 180° < θ < 270°, we know that both cos(θ) < 0 and sin(θ) < 0.

Then from the Pythagorean identity, it follows that

sin²(θ) + cos²(θ) = 1   ==>   sin(θ) = -√(1 - cos²(θ))

and so

sin(θ) = -√(1 - (-8/13)²) = -√105/13

Recall the double angle identity for sine:

sin(2θ) = 2 sin(θ) cos(θ) = 2 (-√105/13) (-8/13) = 16√105/169

Help!!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

x > - 8 or x < 2

Step-by-step explanation:

Given

- 8 < 2(x + 4) or - 3x + 4 > x - 4

Solve each part separately

- 8 < 2(x + 4) ← divide both sides by 2

- 4 < x + 4 ( subtract 4 from both sides )

- 8 < x , thus

x > - 8

OR

- 3x + 4 > x - 4 ( subtract x from both sides )

- 4x + 4 > - 4 ( subtract 4 from both sides )

- 4x > - 8

Divide both sides by - 4, reversing the symbol as a result of dividing by a negative quantity

x < 2

Solution is x > - 8 or x < 2

2 liters is equivalent to how many ounces

Answers

Answer:

hey hon! 2 liters is equal to 67.628 fluid ounces :) hope you have a nice day.

In a research study, students were randomly assigned to three different groups. Group 1 drank no cups of coffee, group 2 consumed 1 cup of coffee, and group 3 consumed 2 cups of coffee. Following this, all the participants took an IQ test. What is the independent variable

Answers

Answer:

The score that they got on the IQ test is the dependent variable

Step-by-step explanation:

a trader bought 90oranges at 3 for gh¢ 0.75 .how much did she get from selling all​

Answers

Answer:

How much did she sell it

add 2 hours 40 minutes to 11 hours 40 minutes ​

Answers

Answer:

14 hours and 20 minutes

Step-by-step explanation:

11 hours + 2 hours = 13 hours

40 minutes + 40 minutes = 1 hour and 20 minutes

Then you add the answers together

13 hours + 1 hour 20 minutes = 14 hours and 20 minutes

Hope this helps

Answer:

860min or 13:80=14:20=2:20

Step-by-step explanation:

1 hour=60min

2 hours=120min

So, we will add 120min to 40 min

120min+40min=160min

1hour=60min

11hour=660min

So we will add 660min to 40min

660min+40min=700min

160min+700min=860min

2:40

+11:40

13:80

Hope this helps ;) ❤❤❤

Please answer this question now

Answers

Answer:

m∠C = 102°

Step-by-step explanation:

The above diagram is a cyclic quadrilateral

Step 1

First we find m∠B

The sum of opposite angles in a cyclic quadrilateral is equal to 180°

m∠D + m∠B = 180°

m∠B = 180° - m∠D

m∠B = 180° - 80°

m∠B = 100°

Step 2

Since we have found m∠B

We can proceed to find the Angle outside to circle

m∠CDA = 2 × m∠B

m∠CDA = 2 × 100°

m∠CDA = 200°

m∠CDA = m∠CD + m∠DA

m∠DA = m∠CDA - m∠CD

m∠DA = 200° - 116°

m∠DA = 84°

Step 3

Find m∠DAB

m∠DAB = m∠DA + m∠AB

m∠DAB = 84° + 120°

m∠DAB = 204°

Step 4

Find m∠C

It you look at the cyclic quadrilateral properly,

m∠DAB is Opposite m∠C

Hence

m∠C = 1/2 × m∠DAB

m∠C = 1/2 × 204

m∠C = 102°

Therefore ,m∠C = 102°

What is the square root of 48? what is the square root of 1/49 ? what is the square root of 4/100 ?

Answers

Answer:

Step-by-step explanation:

√48 = √(3*16) = 4√3

                   

                  √1                                      

√(1/49) = ------- = 1/7

                √49

                       √4

√(4/100) = --------------- = ±2/10 =                                                                                                                                                                                                                                                                                                                                                                              

                     √100

7.

Explain why the equation 6|x| + 25 = 15 has no solution.


When one solves, they arrive at a step where |x| is equal to a fraction that may not be represented as an integer. Since | x| must be an integer, there is no solution.


When one solves, they arrive at a step where x is equal to a negative number. Since x can never be negative inside of the absolute value bars, there is no solution.


When one solves, they arrive at a step where |x| is equal to a negative number. Since | x| can never be negative, there is no solution.


The statement is false. There is a solution.

Answers

Answer:

When one solves, they arrive at a step where |x| is equal to a negative number. Since | x| can never be negative, there is no solution.

Step-by-step explanation:

6|x| + 25 = 15

Subtract 25 from each side

6|x| + 25-25 = 15-25

6|x|  = -10

Divide by 6

6|x| /6 = -10/6

|x|  = -5/3

There is no solution because the absolute value must be greater than or equal to zero.  This equation has it negative.

what are the squares from 1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20 answer when multiplied by itself​

Answers

Answer:

I hope it helps :)

Step-by-step explanation:

[tex] {1}^{2} = 1 \times 1 = 1\\ {2}^{2} = 2 \times 2 = 4\\ {3}^{2} =3 \times 3 = 9\\ {4}^{2} = 4 \times 4 = 16 \\ [/tex]

[tex]{5}^{2} = 5 \times 5 = 25 \\ {6}^{2} = 6 \times 6 = 36 \\ {7}^{2} = 7 \times 7 = 49\\ {8}^{2} = 8 \times 8 = 64[/tex]

[tex] {9}^{2} = 9 \times 9 = 81 \\ {10}^{2} = 10 \times 10 = 100 \\ {11}^{2} = 11 \times 11 = 121 \\ { {12}^{2} } = 12 \times 12 = 144[/tex]

[tex] {13}^{2} = 13 \times 13 = 169 \\ {14}^{2} = 14 \times 14 = 196 \\ {15}^{2} = 15 \times 15 = 225 \\ {16}^{2} = 16 \times 16 = 256[/tex]

[tex] {17}^{2} = 17 \times 17 = 289 \\ {18}^{2} = 18 \times 18 = 324 \\ {19}^{2} = 19 \times 19 = 361 \\ {20}^{2} = 20 \times 20 = 400[/tex]

Step-by-step explanation:

Is this the answer you want? If nope inform me.i hope you just ignore my handwriting ☺️

2 = 3 − q what does 9 equal

Answers

Step-by-step explanation:

2 = 3 - q

1 = (3 - q)×1/2

9 =(3 - q) ×1/2×9

9 = 27 - Q/2

Answer:

Step-by-step explanation

What the correct answer now

Answers

Answer:

1001.66 in²

Step-by-step explanation:

The following data were obtained from the question:

Pi (π) = 3.14

Slant height (l) = 18 in

Diameter (d) = 22 in

Surface Area (SA) =.?

Next, we shall determine the radius of the cone. This can be obtained as follow:

Diameter (d) = 22 in

Radius (r) =.?

Radius = diameter /2

Radius = 22/2

Radius (r) = 11 in.

Finally, we determined the surface area of the cone as follow:

Pi (π) = 3.14

Slant height (l) = 18 in

Radius (r) = 11 in.

Surface Area (SA) =.?

SA = πr² + πrl

SA = (3.14 × 11²)+ (3.14 × 11 × 18)

SA = (3.14 × 121) + 621.72

SA = 379.94 + 621.72

SA = 1001.66 in²

Therefore, the surface area of the cone is 1001.66 in²

please answer the question in the photo​

Answers

Answer:

b

Step-by-step explanation:

i honestly dont know what a and c are but cytokinesis is the division of the cytoplasm eg in binary fission and the question is on chromatids I chose b since in meiosis is where homologous chromosomes fail to separate however this can happen if it's the second phase of meiosis but since in mitosis in anaphase is where sister chromatids can fail to separate I chose it

Help me please sssssssssssssssssssssssssssss

Answers

I don’t understand the language where the problem is.

Answer:

0[tex]-\frac{1}{2}+\frac{\sqrt{3}}{3}[/tex]

Step-by-step explanation:

[tex]\sin \left(30^{\circ \:}\right)+\cos \left(60^{\circ \:}\right)-1\\\\\mathrm{Use\:the\:following\:trivial\:identity}:\\\quad \sin \left(30^{\circ \:}\right)=\frac{1}{2}\\\\\mathrm{Use\:the\:following\:trivial\:\\identity}:\\\quad \cos \left(60^{\circ \:}\right)=\frac{1}{2}\\\\=\frac{1}{2}+\frac{1}{2}-1\\\\=0[/tex]

[tex]\\\cos \left(60^{\circ \:}\right)+\tan \left(30^{\circ \:}\right)-1\\\\\mathrm{Use\:the\:following\:trivial\:identity}:\\\quad \cos \left(60^{\circ \:}\right)=\frac{1}{2}\\\mathrm{Use\:the\:following\:trivial\:identity}:\\\quad \tan \left(30^{\circ \:}\right)=\frac{\sqrt{3}}{3}\\\\=\frac{1}{2}+\frac{\sqrt{3}}{3}-1\\\\=-\frac{1}{2}+\frac{\sqrt{3}}{3}[/tex]

what does -5/7 x 1/5 equal?

Answers

Answer:

The answer is -0.04

Step-by-step explanation:

a zookeeper has both flamingos and alligators in his zoo there are 78 feet and 27 heads how many flamingos and aligators are there

Answers

Answer:

15 flamingos and 12 alligators

Step-by-step explanation:

Because there are 27 heads, that means there is a total of 27 flamingos and alligators. Flamingos have 2 feet and alligators have 4 feet.

1. Set up a system of equations

(x = number of flamingos, y = number of alligators)

1x + 1y = 27 heads

2x + 4y = 78 feet

2. Multiply to get the same coefficient

2(1x + 1y = 27) → 2x + 2y = 54

3. Subtract

 2x + 2y = 54

- 2x + 4y = 78

 0x + -2y = -24

4. Solve for y

-2y = -24

y = 12

5. Plug in y to solve for x

1x + 1(12) = 27

x + 12 = 27

x = 15

Write 3.6 as a percent.

Answers

Answer:

360%

Step-by-step explanation:

You have to multiply 3.6 by one hundred to get the percentage. When you multiply decimals by numbers that are multiples of ten, you move the decimal place to the right of the number by the number of zeroes that is in your number. Sorry if its confusing.

Examples: 3.76 * 100 = 376. You move the decimal to the right two spaces

46.263 * 1000 = 46263. You move the decimal to the right three spaces. Hope you understand.

A spray irrigation system waters a section of a farmer's field. If the water shoots a distance of 85 feet, what is the area that is watered as the sprinkler rotates through an angle of 60 degrees? Use 3.14 for pi . Round your answer to the nearest square foot, and enter the number only.

Answers

Answer:

The watered area is approximately 3783 square feet.

Step-by-step explanation:

The area that is watered due to the rotation of the spankler is a circular section area ([tex]A[/tex]), whose formula is:

[tex]A = \frac{\theta }{2}\times \frac{1}{360^{\circ}}\times 2\pi \times d^{2}[/tex]

Where:

[tex]d[/tex] - Water distance, measured in feet.

[tex]\theta[/tex] - Rotation angle, measured in sexagesimal degrees.

Given that [tex]d = 85\,ft[/tex] and [tex]\theta = 60^{\circ}[/tex], the watered area is:

[tex]A = \frac{60^{\circ}}{2} \times \frac{1}{360^{\circ}}\times 2\pi \times (85\,ft)^{2}[/tex]

[tex]A \approx 3783\,ft^{2}[/tex]

The watered area is approximately 3783 square feet.

Answer:176

Step-by-step explanation:

6 times 29.33333333333333

Which of the following is equivalent to the expression below?

Answers

Answer:

4

Step-by-step explanation:

ln(e)=1 since ln= log_e

log(x^y)=y*log(x) so ln(e^4)=4*ln(4)=4*1=4

Answer:

D

Step-by-step explanation:

ln(e^4)

The 4 comes down in front of the natural log (ln). You get 4 ln(e)

The natural log of e (ln e )  is 1.

So the answer is 4 * 1 = 4

That may not be clear to you. We could try it another way.

e = 2.718281828

ln (2.718281828) = 1

ln(2.718281828)^4 = 4.  The calculator gags until you get it right.  You need the y^x key (or the x^y key of ^) It does come back with 4.

You have to monkey around with the calculator to get this to happen.  

A car starts from rest. if the velocity of car become 15m/s after 20s calculate the acceleration of the car.​

Answers

Answer:

[tex]0.75 {ms}^{ - 2} [/tex]

Step-by-step explanation:

[tex]acceleration = \frac{velocity}{time} \\ = \frac{15ms ^{ - 1} }{20s} \\ = \frac{3}{4} ms ^{ - 2} \\ = 0.75 {ms}^{ - 2} [/tex]

[tex]\Large\rm{\underbrace{\green{ \: Acceleration \: = \: \ \frac{v}{t} \: }}}[/tex]

V denotes rate of change in Velocity

t denotes time taken

[tex] \bf \large \implies \: Acceleration \: = \: \frac{15}{20} \\ [/tex]

[tex]\bf \large \implies \: Acceleration \: = \: \cancel\frac{15 \: \small \: m /s }{20 \: s} \: = \: \frac{3}{4} \: m /s ^{ - 1} \\ [/tex]

[tex]\bf \large \implies \: Acceleration \: = \: \cancel\frac{3}{4} \:m /s ^{ - 1} \: = \: 0.75 \: \: m /s ^{ - 1} \\ [/tex]

[tex] \bf \large \implies \: \: Acceleration \: = \: 0.75 \: \: m /s ^{ - 1} \\ [/tex]

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