I need help... please help me through this trigonometry. I need full answer.​

I Need Help... Please Help Me Through This Trigonometry. I Need Full Answer.

Answers

Answer 1

Answer:

see explanation

Step-by-step explanation:

Using the trigonometric identities

tan(x + y) = [tex]\frac{tanx+tany}{1-tanxtany}[/tex] , tan(x - y) = [tex]\frac{tanx-tany}{1+tanxtany}[/tex], tan [tex]\frac{\pi }{4}[/tex] = 1

tan2x = [tex]\frac{2tanx}{1-tan^2x}[/tex]

Consider the left side

tan([tex]\frac{\pi }{4}[/tex] + Θ ) - tan([tex]\frac{\pi }{4}[/tex] - Θ )

= [tex]\frac{tan\frac{\pi }{4}+tan0 }{1-tan\frac{\pi }{4}tan0 }[/tex] - [tex]\frac{tan\frac{\pi }{4}-tan0 }{1+tan\frac{\pi }{4}tan0 }[/tex]

= [tex]\frac{1+tan0}{1-tan0}[/tex] - [tex]\frac{1-tan0}{1+tan0}[/tex]

= [tex]\frac{(1+tan0)^2-(1-tan0)^2}{(1-tan0)(1+tan0)}[/tex]

= [tex]\frac{1+2tan0+tan^20-1+2tan0-tan^20}{1-tan^20}[/tex]

= [tex]\frac{4tan0}{1-tan^20}[/tex]

= 2 [tex]\frac{2tan0}{1-tan^20}[/tex]

= 2 tan2Θ = right side


Related Questions

In the triangles, TR = GE and SR = FE.


Triangles S T R and F G E are shown. Angle S R T is 56 degrees. Angle F E G is 42 degrees. Sides T R and G E are congruent. Sides S R and F E are congruent.

if Line segment G F = 3.2 ft, which is a possible measure of Line segment T S?

Answers

Answer:

3.2 ft

Step-by-step explanation:

the only thing you need to know is that congruent means that all the side and the same and the shape can be flipped and still look the same so the measure of the line segment is 3.2ft

Answer:

3.2 ft

Step-by-step explanation:

The answer above is correct.

Solve for v. 3v + 5v = 72 please simplify as much as possible! v = _ ?

Answers

Answer:

v is 9

Step-by-step explanation:

it is 9 because if you simplify it is 8v=72 or 9

Answer:

v = 9

Step-by-step explanation:

3v + 5v = 72

combine like terms

8v = 72

Divide by 8

8v/8 = 72/8

v =9

Drag each object to show whether distance is proportional to time in the situation represented.

Answers

Answer: please find the answer in the explanation.

Step-by-step explanation:

1.) The distance is not proportional to time. Because the distance was constant from time = 3 seconds to 10 seconds.

2.) A person running down a field to score a touchdown. Not enough information.

3. A dog jogging at a constant speed for 20 minute. The distance is proportional to time because of the constant speed.

4.) The distance is proportional to time because their is increase in distance covered and increase in time taken.

5.) A truck passing through the 4 cities at a constant speed. The distance is proportional to time because the speed is constant.

6.) A horse running around a race track. Distance is not proportional to time because this is not a linear motion.

determine whether the graphs of the equations are parallel lines, perpendicular lines, or neither. 3x-4y=-5 8x+6y=-5 show full work please and thank you

Answers

3x - 4y = -5
4y = 3x + 5
y = (3/4)x + 5/4

8x + 6y = -5
6y = -8x - 5
y = -(8/6)x - 5/6
y = -(4/3)x - 5/6

Because the slopes are negative reciprocals, the lines are perpendicular.
What are the solutions of the equation x4 – 5x2 – 14 = 0? Use factoring to solve.

Find RS. A. 5 B. 10 C. 9 D. 12

Answers

Answer:

x=9

Step-by-step explanation:

PQ + QR + RS = PS

2x-6 + 1 + x-4 = 18

Combine like terms

3x -9 = 18

Add 9 to each side

3x-9+9= 18-9

3x = 27

Divide by 3

3x/3 = 27/3

x = 9

Answer:

RS=5

Step-by-step explanation:

solve for x:

2x-6+1+x-4 = 18

combine like terms

3x-9=18

subtract both sides to make x isolated

3x=27

divide by 3 to get x

x=9

RS=x-4

RS=9-4

RS=5

A building 50ft tall is on top of a hill A surveyor is at a point on the hill and observes that the angle of elevation to the top of the
building measures 48° and to the bottom of the building is 20°. How far is the surveyor from the bottom of the building?

Answers

Answer:

48-20

Step-by-step explanation:

The distance of the surveyor from the bottom of the building is  125.1 feet.

What is the angle of elevation?

You look straight parallel to the ground. But when you have to watch something high, then you take your sight up by moving your head up. The angle from horizontal to the point where you stopped your head is called the angle of elevation.

Assume the distance of the surveyor from the bottom of the building is represented by x.

First, we have to know that the Tan of 48° is equal to 1.11.

The equation to get the distance will then be;

tan(48) = 50/h

h = 45.05  feet

Now, tan(20) = 45.05  /x

x = 45.05  / 0.36

x = 125.1 feet

The distance of the surveyor from the bottom of the building is  125.1 feet.

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Find the value of m∠ACD. A. 30º B. 15º C. 60º D. 90º

Answers

Answer:

A. 30 degrees

Step-by-step explanation:

Set the two angles equal to each other:

3x-15 = 45-x

Solve for x:

4x -15 = 45

4x = 60

x = 15

Finally, plug in the x to one of the equations (preferably 45 - x since it's easier to solve) and solve for x.

45 - 15 = 30

Answer:

A 30 degrees

Step-by-step explanation:

Help and show work please.

Answers

Answer: (D) 50

Any rectangle is also a parallelogram (but not the other way around). So AB is parallel to CD. The angles BAC and ACD are alternate interior angles that are congruent due to the parallel sides mentioned.

(angle BAC) = (angle ACD)

3x+4 = x+28

3x-x = 28-4

2x = 24

x = 24/2

x = 12

So,

angle BAC = 3x+4 = 3*12+4 = 40 degrees

and

angle CAD = 90 - (angle BAC) = 90 - 40 = 50 degrees

With any rectangle, the four interior angles are always 90 degrees. So that's why angles BAC and CAD add to 90.

yes the answer is definitely d.

Plzz help I’ll mark brainliest

Answers

Answer:

6cot 50

Step-by-step explanation:

Tan 50=6/x

x= 6/(tan 50)

x= 6cot 50°

Answer:

? = 6 cot 50

Step-by-step explanation:

Since this is a right triangle, we can use trig functions

tan theta = opp /adj

tan 50 = 6 /?

? tan 50 = 6

? = 6 / tan 50

We know that 1 / tan 50 = cot 50

? = 6 cot 50

Find the measure of the remote exterior angle. m∠x=(197−5n)°m∠y=(6n+22)°m∠z=(n+7)°

Answers

Answer:

x=127°

Step-by-step explanation:First you have to solve for n and to do so you have to add the interior angles together and equal them to the remote exterior angle.

n+7+6n+22=197-5n

12n+29=197

12n=168

n-14

once you get n you have to plug it into 197-5n

197-5(14)

197-70

127

The required value of exterior angle  m∠x is 127.

From figure x is remote exterior angle m∠x=(197−5n)°. and y and z are interior angles m∠y=(6n+22)° and m∠z=(n+7)° respectively. value of x to be determine.

What are exterior angle?

Angle made at outer side of the corner is called exterior angles.

Here, by properties,  sum of the interior angle = remoter exterior angle
So,
m∠x = m∠y + m∠z
197−5n = 6n+22+n+7
168 = 12n
n = 14
put n in m∠x
m∠x=(197−5n)°
m∠x=(197−5*14)°
m∠x=(197−70)°
m∠x=127°

Thus, the required value of exterior angle  m∠x is 127.  

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Julie started to solve the exponential expression (-2).
(-2)3 = -2 -2 -2 - ?
Which of these explains why Julie gets a negative number for her final answer?
The base -2 is a negative number.
The exponent 3 is an odd number.
The exponent 3 is a positive number.
The base - 2 is an even number.

Answers

Answer:

just did this on a test and it was

The exponent 3 is an odd number.

Step-by-step explanation:

Hince the statements which justify it:

The base -2 is a negative number.

The exponent 3 is an odd number.

Julie gets a negative number for her final answer when solving the expression (-2)³ = -2 x -2 x -2

Because the base, -2, is a negative number.

When an odd number of negative numbers are multiplied together, the result is always negative.

In this case, there are three negative numbers (-2 x -2 x -2),

Which is an odd number, resulting in a negative answer.

However, since the base is negative, the result will always be negative for any odd exponent.

Therefore, the negativity of the base and the odd value of the exponent together lead to a negative final answer.

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3(2x - 4) = 4(x + 1)

X=__?

Answers

Answer:

8!

Step-by-step explanation:

SIMPLIFY

6X-12=4X+4

PUT LIKE TERMS TOGETHER

6X-4X=4+12

SIMPLIFY

2X=16

X=16/2

X=8

HOPE I HELPED

PLS MARK BRAINLIEST

DESPERATELY TRYING TO LEVEL UP

        ✌ -ZYLYNN JADE ARDENNE

JUST A RANDOM GIRL WANTING TO HELP PEOPLE!

                                       PEACE!

Hey there! I'm happy to help!

First, let's use the distributive property to remove the parentheses. We multiply the number on the outside by each number on the inside.

3(2x-4)

We multiply the 3 by the 2x, giving us 6x, and we multiply the 3 by the -4, giving is -12.

4(x+1)

We do 4 times x which is 4x, and 4 by 1, which is 4.

This gives us this equation.

6x-12=4x+4

Now, we want to solve for x. We want to move all the numbers to the right side and all the x's to the left side so we can figure out what x is equal to.

6x-12=4x+4

We add 12 to both sides, canceling it out on one side and adds it to the other to keep the equation at the same value.

6x=4x+16

We subtract 4x from both sides.

2x=16

We divide both sides by 2.

x=8

Have a wonderful day! :D

Find the area of the shape shown below.

Answers

Answer

72-30=42. The answer is 42

Step-by-step explanation:

to find the area of this, we first need to add are to the missing space, so we can make a rectangle. If we multiply the dimension of this new shape, we get 72. Now we need to find the are of the triangle-shaped space I added. To do this I must multiply the base by the height, and then divide it by 2, after multiplying the base with the height, which gave me 60, I divided it by 2 which gave me 30. Then I subtracted 30 from 72, therefore giving me 42

Answer:

42cm2

Step-by-step explanation:

You can divide the shape into two parts from the length at the top and the length at the bottom. Which means you have two shapes A and B.

Area of A which is a triangle= 1/2bh

                                              = 1/2*5(THIS IS THE BASE OF THE TRIANGLE)12

                                              = 30CM2

Area of b which is a rectangle= L*W

                                                 = 1(LENGTH) * 12(WIDTH)

                                                 = 12CM2

So to get the total area of the shape you add the area of shape a and b

THE ANSWER IS 42cm2

Simplify
-
12 – 81 – 9
5.12
- 451

Answers

Answer:

-615.12

Step-by-step explanation:

hope this helps

plz mark as brainliest!!

Answer: -615.12
Can check using a calculator

(5.3.4 journal: describing distributions) Looking at the box plots, do you agree or disagree with each team's conjecture? Explain your reasoning(3 points: 1 point for each row of the chart)

Answers

Need the box plots first!

The large rectangle below represents one whole. What percent is represented by the shaded area? (URGENT)

Answers

Answer:

40%

Step-by-step explanation:

The whole rectangle is split into 5 parts. Two out of 5 parts are shaded.

Set up a fraction:

[tex]\frac{\text{Shaded}}{\text{Whole}}=\frac{2}{5}[/tex]

Convert into a decimal:

[tex]\frac{2}{5}= 0.4[/tex]

Multiply the decimal by 100 to get the percent:

[tex]0.4*100=40[/tex]

So, forty percent of the rectangle is shaded.

Hope this helps.

The percentage is calculated by dividing the required value by the total value and multiplying by 100.

Required percentage value = a

total value = b

Percentage = a/b x 100

The percentage of the shaded rectangular boxes in the large rectangle is 40%.

What is a percentage?

The percentage is calculated by dividing the required value by the total value and multiplying by 100.

Required percentage value = a

total value = b

Percentage = a/b x 100

Example:

50% = 50/100 = 1/2

25% = 25/100 = 1/4

20% = 20/100 = 1/5

10% = 10/100 = 1/10

We have,

Number of rectangular boxes in the large rectangle = 5

Number of shaded rectangular boxes in the large rectangle = 2

The percentage of shaded rectangular boxes.

= 2/5 x 100

= 2 x 20

= 40%

Thus,

The percentage of the shaded rectangular boxes in the large rectangle is 40%.

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PLEASE HELP!!! ASAP!!!

Answers

Answer:

28 units²

Step-by-step explanation:

→ Work out the size of the triangle if it was a full rectangle

Height = 4 and Base = 2

→ Work out area of triangle

0.5 × Height × Base ⇒ 0.5 × 4 × 2 ⇒ 2 × 2 ⇒ 4

→ Minus the area of the triangle from the "imaginary full' rectangle

Area of rectangle = Length × Width ⇒ 8 × 4 ⇒ 32

32 - 4 = 28

Answer:

[tex]\huge\boxed{28\ units^2}[/tex]

Step-by-step explanation:

The figure consists of a triangle, a square and a rectangle.

Area of Triangle:

[tex]\sf \frac{1}{2} (Base)(Height)\\Where \ Base = 2 , Height = 4 \\=> \frac{1}{2} (2)(4)\\=> 4\ units^2[/tex]

Area of Square:

[tex]\sf (Length)(Length)\\(4)(4)\\=> 16\ units^2[/tex]

Area of rectangle:

[tex]\sf (Length)(Width)\\Where \ Length = 4 , Width = 2\\=> (4)(2)\\=> 8 \ units^2[/tex]

Area of the whole figure:

=> 4 + 16 + 8

=> 28 units²

Use the method of cylindrical shells to find the volume V generated by rotating the region bounded by the given curves about the specified axis.

y = 6x − x2, y = 8; about x = 2

Answers

Answer:

[tex]\mathbf{V = [\dfrac{ 8 \pi }{3}] }[/tex]

Step-by-step explanation:

Given that:

y = 6x - x² , y = 8  about  x = 2

To find the volume of the region bounded by the curves about x = 2; we have the radius of the cylindrical shell to be x - 1, the circumference to be 2 π (x -2 ) and the height to be 6x - x² - 8

6x - x² - 8

6x - x² - 8 = 0

-x² + 6x - 8 = 0

x² - 6x + 8 = 0

(x -4) (x - 2  ) = 0

So;

x = 2 , x = 4

Thus, the region bound of the integral  are from a = 2 and b = 4

Therefore , the volume of the solid can be computed as :

[tex]V = \int \limits ^b _a \ 2x \times f(x) \ dx[/tex]

[tex]V = \int \limits ^4_2 2 \pi (x -2) (6x -x^2 -8) \ dx[/tex]

[tex]V = 2 \pi \int \limits ^4_2 (6x^2 - x^3 -8x -12 x - 2x^2 +16) \ dx[/tex]

[tex]V = 2 \pi \int \limits ^4_2 (8x^2 -x^3-20x +16) \ dx[/tex]

[tex]V = 2 \pi \int \limits ^4_2 ( -x^3+8x^2-20x +16) \ dx[/tex]

[tex]V = 2 \pi [\dfrac{ -x^7}{4}+\dfrac{8x^3}{3} -\dfrac{20x^2}{2} +16x]^4_2[/tex]

[tex]V = 2 \pi [\dfrac{ -(4^4-2^4)}{4}+\dfrac{8(4^3-2^3)}{3} -\dfrac{20(4^2-2^2)}{2} +16(4-2) ]^4_2[/tex]

[tex]V = 2 \pi [\dfrac{ -(256-16)}{4}+\dfrac{8(64-8)}{3} -10(16-4)} +16(2) ][/tex]

[tex]V = 2 \pi [\dfrac{ 4}{3}][/tex]

[tex]\mathbf{V = [\dfrac{ 8 \pi }{3}] }[/tex]

V = 8 pi / 3 ( pi “ 3.14 “ )

1% social security tax is charged up to the annual income of Rs 3,50,000 to an unmarried individual. If the monthly salary of an individual is Rs 16,400, how much social security tax should he pay in a year?​

Answers

Answer:

Rs. 1968

Step-by-step explanation:

Tax rate = 1%

Monthly income of the person = rs. 16400

Now,

Yearly income of individual = rs. 16400×12=rs196800

Tax = tax rate × yearly income

= 1% × rs. 196800

= Rs.1968

Was the question this simple

Or I misunderstood the question :-(

Identify the slope and y-intercept of the graph of the equation. y = 5/3 x -2

Answers

Answer:

Slope: [tex]\frac{5}{3}[/tex]

Y-intercept: -2

Step-by-step explanation:

Conveniently, this equation is already in slope-intercept form.

The slope is always the constant of proportionality, which we multiply x by.

Therefore the slope is  [tex]\frac{5}{3}[/tex].

The y-intercept is always the constant that comes after the x term, which is -2.

So the y-intercept is -2.

Hope this helped!

Answer:

Slope: 5/3

Y-intercept: -2

Step-by-step explanation:

Since your equation is already in slope intercept form, it makes it easier for you to identify the slope and y-intercept.

In your equation ([tex]y = \frac{5}{3} x -2[/tex]) the coefficient of 5/3 is your slope and your constant of -2 is your y-intercept.

Hope that helps and maybe earns a brainliest!

Have a great day! :)

what is the first step to solving this problem: 3x-10=2(x+3)

Answers

Answer:

x = 16

Step-by-step explanation:

3x - 10 = 2(x+3)

First step is solve this:

2(x+3) = 2*x + 2*3 = 2x + 6

then:

3x - 10 = 2x + 6

3x - 2x = 6 + 10

x = 16

Check:

3*16 - 10 = 2(16+3)

48 - 10 = 2*19 = 38

Answer:

x = 16

Step-by-step explanation:

you start off by isolating the variable

Pllzzz help I’ll mark brainliest

Answers

Answer:

26°

Step-by-step explanation:

AC=tan 64

BC=x=sec 64

Using sine rule

(Sin 64)/tan 64 = (sin BAC)/sec 64

Cos 64 = (sin BAC)(cos 64)

Sin BAC= 1

BAC=90

ACB+ 64+90=180

ACB= 26°

ACB=26.............. :)

5. The cost of movie tickets at the
Cinema Verite is 9 dollars for adults
and five dollars for children under 12.
During the Saturday and Sunday
matinees, adults are charged 8 dollars
for admission and children under 12
are charged 4 dollars. At any time at
all, there is a group discount for groups
of 15 or more adults at a cost of 6
dollars per ticket. What is the cost for 2
adults and 3 children during the
Saturday matinee?
a. 27
b. 28
C. 14
d. 32

Answers

Answer:

its 28 dude, because it says that adults and children are played more on saturday.(adults on Saturday=$8 and children under 12 are $4

B because more adults and children played on saturday.

27.
Charlotte Brontë Linens Warehouse carries a $1,239,500 inventory. Charlotte Brontë Linens
estimates the annual cost of carrying the inventory at 32% of the inventory value. What is
the approximate annual cost of carrying the inventory?

Answers

Answer:

Hey there!

For this question we want to find 32% of 1239500.

0.32(1239500)=396640.

Hope this helps :)

The annual cost would be approximately 396,640

In annual Student vs. Faculty Kickball game, Brian kicked a ball that was in the air for a total of 4.5 seconds before it landed on the ground. Assuming that the ball left from the ground (initial height=0) which of the following was the initial vertical velocity of the ball? HINT: Use the height equation for English units.

Answers

Answer:

72.4004 ft/sec

Step-by-step explanation:

We know the parabola has width of 4.5 above the x-axis.

The parabola must face downward in order to represent a downward arc.

Therefore, the equation is:

-x^2+4.5x

The vertex is at (2.25, 5.063).

The max height was 5.063.

vy=v0y+ay⋅t

y=y0+v0y⋅t+12⋅ay⋅t2

i’m not sure i have to answer 2 more questions and i’m trying to do my work soo

Please answer ASAP

Randomly pick 6 points from a square of side = 1. Show that you can always find 2 points from these 6 that their distance is less or equal to [tex]\frac{\sqrt{2} }{2} }[/tex]

Randomly pick 5 points from a sphere. Show that you can always find a closed semi-sphere ( half a sphere and boundary) that contains 4 points.

Answers

Problem 1.

My thinking is that the furthest you can get is have two points at each opposite corner, so the distance between them is sqrt(2). If we have two other points with this property, then all four corners are filled up. It is possible to pick two points where the distance is 1 unit.

Then a fifth point can be placed at the center such that the distance from it to any of the corners is sqrt(2)/2. We placed the fifth point at the center to try to get as far away as possible from the other four points.

Basically we're trying to find the worst case scenario (leading to the largest distance possible) and seeing how we can fill up the square. This establishes the upper bound. Any other kind of scenario will have a distance less than the upper bound.

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

Problem 2.

For this one, I'm not sure what to make of it. The terminology is a bit strange so I'm not going to be fairly helpful here. Sorry about that.

If I had to guess, I'd assume it has something to do with the fact that a plane is uniquely defined by 3 points. That fourth point is not coplanar with the other three, which helps define the semi-spherical portion. The fifth point is just extra. The points can't be all collinear or else a plane won't form. Though to be honest, I'm still not sure about problem 2. I'd get a second opinion.

The answer above is correct

What is the best estimate of the sum of $14.30, $143.08, and $19.74

Answers

Answer:

Step-by-step explanation:

ok so you start off by adding

  14.30

143.08

  19.74

 177.12

177.12 is close to 180 if u estimate in tens, 177 if ones

The addition of the numbers $14.30, $143.08, and $19.74 will be $177.12.

What is Algebra?

The analysis of mathematical representations is algebra, and the handling of those symbols is logic.

All real numerals and 0 are included in the category of whole numbers.

The process of adding up the different or more sums or figures.

The sum means plus sing is present between the terms.

The whole numbers are given below,

$14.30, $143.08, and $19.74

Then the summation of the whole numbers is given below.

⇒ $14.30 + $143.08 + $19.74

⇒ $177.12

Thus, the addition of the numbers $14.30, $143.08, and $19.74 will be $177.12.

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PLEASE HELP!! WILL GIVE BRAINLIEST!!!! Complete the following two-way table of column relative frequencies. (If necessary, round your answers to the nearest hundredth.) **note: please provide me with the numbers that are supposed to go in the blank boxes as you can see in the attachment below.**

Answers

Answer:

At company for less than 2 years:

College degree: 0.24

No college degree: 0.76

At company for more than 2 years:

College degree: 0.7

No college degree: 0.3

Step-by-step explanation:

To find the relative frequency for those at the company for less than 2 years with a degree:

5 + 16 = 21

5 / 21 = 0.23809523809

≈ 0.24

To find the relative frequency for those at the company for less than 2 years with a degree:

5 + 16 = 21

16 / 21 = 0.7619047619

≈ 0.76

Check:

0.24 + 0.76 = 1

To find the relative frequency for those at the company for more than 2 years with a degree:

14 + 7 = 21

14 / 21 = 0.666..

≈ 0.70

To find the relative frequency for those at the company for less than 2 years with a degree:

14 + 7 = 21

7 / 21 = 0.333..

≈ 0.30

Check:

0.70 + 0.30 = 1

I really hope this helps! Tell me if I'm wrong!

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Evaluate 9x*2 y*−2 for x = –3 and y = 2. Answers:

Answers

Answer:

20 and 1/4.

Step-by-step explanation:

9x^2 * y^(-2), for x = -3 and y = 2.

9(-3)^2 * 2^(-2)

= 9 * 9 * (1/4)

= 81 * 1/4

= 81 / 4

= 20.25

= 20 and 1/4.

Hope this helps!

Answer:

Step-by-step explanation:

Let's fill the values in.

9(-3)*2(2)*-2

Using PEMDAS, we would first multiply the two numbers where x and y used to be.

-27 * 4 * -2

Now we would finish multiplying this.

216.

Hope this helps!! <3

A line plot has a range of 4, from 1 to 5, with 5 modes. How would you describe the graph?

The graph has an outlier.
The data is clustered around 3.
Each column will be the same height.
There is not enough information.
will give brainliest

Answers

Answer:

Each column will be the same height.

Step-by-step explanation:

Mode refers to the most occurring number, and there are five within a data set that is 4 wide, so there will be 5 columns of equal length.

Each colum willl be the same heights
Other Questions
The process by which a parcel of land is measured and its area ascertained is known as what?a. Survey b. Schedule c. A Property Line d. Plot Plan What percentage of the Earth's surface do forests cover? 20% 30% 40% 10% what are the different types of waste? and what are the methods used in biodegrable waste managment 7. Assume two people, Swanson and Suzie, are standing 35 feet apart and are watching a boatrace. At a given moment, Swanson approximates the angle formed by the lead boat, himself, andSuzie to be 30. Suzie approximates the angle formed by the lead boat, herself, and Swanson to be130. How far is the boat from Swanson?13030"35 feetSwansonSuziePart I: What is the missing angle in this triangle? (1 point)Part II: Use the law of sines to find the distance from Swanson to the boat. (2 points) Why don't siblings look exactly alike 3-(-4) answer the question Which of the following do we need to know in order to calculate pH during an acid-base titration of a strong monoprotic acid with a strong monoprotic base? Select all that applya. the concentration of the acid b. the concentration of the base titrant c. the initial volume of the acid solution d. the volume of the titrant used Suppose that the market for candy canes operates under conditions of perfect competition, that it is initially in long-run equilibrium, and that the price of each candy cane is $0.20. Now suppose that the price of sugar falls, decreasing the marginal and average total costs of producing candy canes by $0.15. Based on the information given, we can conclude that in the short run a typical producer of candy canes will be making: which of the following is not irrational number? (1)2 (2)2/6(3)36/1296(4)-6+6 Which of the following best defines the midpoint of a segment? A. The point that splits a line segment into two equal parts. B. Any point on a line segment in between the two endpoints. C. When a line segment is split into equal thirds, a midpoint is any point in the middle third. D. Any point that is closer to one endpoint of the segment than the other. A metal sample of mass M requires a power input P to just remain molten. When the heater is turned off, the metal solidifies in a time T. The heat of fusion of this metal is Determine the number of degrees of freedom for the two-sample t test or CI in each of the following situations. (Round your answers down to the nearest whole number.)(a) m = 12, n = 15, s1 = 4.0, s2 = 6.0 (b) m = 12, n = 21, s1 = 4.0, s2 = 6.0(c) m = 12, n = 21, s1 = 3.0, s2 = 6.0(d) m = 10, n = 24, s1 = 4.0, s2 = 6.0 Read and choose the option with the correct answer, based on what you learned from the lesson. Me llamo Mara. En mi pas yo saco la basura cada every da y quito la mesa despus de cenar. Mi mam me paga pays me cuatro billetes. Juan, y t? Hago la cama despus de desayunar y doblo la ropa en mi cmoda. Antes de salir el sbado, ordeno el bao y corto la grama. Mi pap me to me paga cinco billetes. Based on what you learned from the lesson, which country are Mara and Juan describing? USA Nicaragua Germany Spain What are some of the external motivations that shape who you are every day? Volcanic ash and sulfur dioxide spewed out of Mt. Pinatubo in 1991. These materials can reflect incoming solar radiation. Over the next few years, what do you think happened?The global climate cooled.The global climate warmed.Nothing; volcanic activity doesn't impact climate. Mark is buying supplies for his students. He is buying a notebook (n) and a pack of pencils for each of his 25 students. Each pack of pencils costs $1.25. If Mark's total cost is $156.25, which of the following equations can be used to find how much each notebook cost? Select TWO that apply. solve for b in the mathematical formula A=1/2(a+b)h How many organizations were created when the Immigration and Naturalization Service was divided? twotenno change was madethree If the essay question asked, "How does Harry Potter receive help from his friends throughout the series? Which of the followingwould be the best evidence to include in the essay?A. Due to Hagrid letting Harry know that he would have to face a dragon, he was able to prepare for the battle and succeed.B. Harry would not have been able to sneak around without his invisibility cloak.C. Harry is not allowed to leave Hogwarts. If he is going to sneak out he is going to need help from his friends.D. Harry faces many problems throughout the course of the series; luckily, his friends are there to help.no PLEASE HELP: On a number line, suppose point E has a coordinate of 5, and EG=4. What are the possible coordinates of point G? The possible coordinates for G are ___ (Type integers or decimals. Use a comma to separate answers as needed.)