The Jellybean company is building a new cylinder container with a height of 3.5 inches and a radius of
2 inches. It needs a diagonal divider to separate the two flavors it plans on packing per container. The
production of this divider is being outsourced for manufacturing. What should be the length of the
diagonal divider after removing ¼ of an inch from its top to accommodate for packaging decorative
paper?

Answers

Answer 1

Answer:

Length of diagonal paper is 5.15 inch.

Step-by-step explanation:

Please refer to the images attached.

As per the cylindrical image, we have radius given as 2 inches.

Height as 3.5 inches - 0.25 inches = 3.25 inches

If we look closely, we actually have a right angled triangle whose

Base = 2+2 = 4 inches

Height = 3.25 inches

And we have to find the hypotenuse of triangle:

According to pythagoras theorem:

[tex]Hypotenuse^{2} = Base^{2} + Height^{2}[/tex]

[tex]\text{ Diagonal}^{2} = 4^{2} + 3.25^{2}\\\Rightarrow 16 + 10.5625\\\Rightarrow 26.5625\\\Rightarrow \text{Diagonal = }5.15\ inch[/tex]

Hence, Length of diagonal paper required is 5.15 inch.


Related Questions

Find the volume of the rectangular prism
A) 19 in3
B) 57 in3
C) 144 in3
D) 288 in3

Answers

Answer:

C) 144 in3

Step-by-step explanation:

Area of rectangular prism = lwh

8*9*2 = 144

Ms. Nellies has 2 1/2 pints of vinegar for her students to use in a science experiment. Each
group of students needs 3/8 pint of vinegar. Trey draws the number line model and writes the
equation below to help Ms. Nellies figure out how many 3/8-pint servings of vinegar she has.
Are Trey's number line model and equation correct?

Answers

Answer:

Trey's number line model is incorrect because it represents the expression 2 1/2 / 3/4. The correct equation is 2 1/2 / 3/8 = 6 2/3. Ms. Nellies has enough vinegar for 6 groups of students.

Answer:

incorrect

wrong equation 2 1/2 / 3/4

correct equation 2 1/2 / 3/8 = 6 2/3

6 groups of students.

Step-by-step explanation:

In the diagram shown, 4 24, and 22 = 23. The sum of the measures of the four
angles is 120°. The measure of 22 is 10° less than the measure of 4. What is the
combined measure of angles 1, 2 and 3?
A. 85°
B. 95°
C. 105
D. 115°

Answers

The correct answer is B

What is the distance between points A(1,9) and B(4, -2)?

Answers

about 11.4 the full decimal is 11.40175425

Virtual Nerd™: How Do You Use a Tree Diagram to Count the Number of Outcomes in a Sample Space?

Answers

Answer:

We use tree diagram by connecting relevant samples

Step-by-step explanation:

thats all

Find the equation of the circle that is shifted 5 units to the left and 2 units down from the circle with the equation x² + y2 = 19.

A. (x - 5)2 + (x - 2)2 = V1

B. (x + 5)2 + (x - 2)2 = 19

C. (x + 2)2 ++5)= 19

D. (+52 + (y + 2)2 = 19

Answers

The Answer is D

Hope this helps

The standard New York state license plate has three letters followed by four digits. How many different
license plates are possible if the digits can't be repeated and letters can be repeated?
a
1,560,000 possible license plates
175,760,000 possible license plates
88,583,040 possible license plates
90,283,340 possible license plates
с
d

Answers

Answer:

175,760,000 possible license plates

Step-by-step explanation:

There are 3 spots where there are 26 choices each  

= 26 ^3

and 4 spots where there are 10 choices each (the digits 0 through 9,  

= 10 ^4

This gives:

26^3*10^4=175,760,000

Hope this Helps...!!

Find the 91st term of the arithmetic sequence 5, -14, -33, ...

Answers

Answer:

a(91) = -1705

Step-by-step explanation:

Each successive term is 19 less than the previous term, so the common difference is 19, and the general term is a(n) = a(1) - 19(n - 1).

Thus, the 91st term is    a(91) = 5 - 19(91 - 1), or

                                        a(91) = 5 - 1710, or

                                        a(91) = -1705

The 91st term of the arithmetic sequence is -1705.

What is Arithmetic progression?

An arithmetic progression is a sequence of numbers such that the difference of any two successive members is a constant.

Given that an arithmetic sequence 5, -14, -33, ...

nth term of an AP is, a(n) = a + (n-1)d

Each successive term is 19 less than the previous term, so the common difference is 19, and the general term is a(n) = a(1) - 19(n - 1).

Thus, the 91st term is  

a(91) = 5 - 19(91 - 1)

a(91) = 5 - 1710

a(91) = -1705

Hence, The 91st term of the arithmetic sequence is -1705.

For more references on arithmetic sequence, click;

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Write an equation of the line that passes through (−1, 3) and is perpendicular to the line y=1/9x−1.

Answers

Answer:

Step-by-step explanation:

General equation of line

y = mx + c

m is slope

y = (1/9)x - 1

1/9 is slope

Since the other line that passes through the point is perpendicular, the product of both slopes is -1

1/9 * m = -1

m = -9

Using point-slope method

y-y1 = m(x-x1)

y-3 = -9(x-(-1))

y-3 = -9(x + 1)

y-3 = -9x -9

y = -9x-6

In a board game, when you land on a specific square, you must roll a die. If the result is an odd number, you receive four times the result, in dollars. If the result is even, you must pay five times the result, in dollars.
Determine the expectation.

a. 5 - 4
b. 4 x ( 1 + 3 + 5) x 1/2 - 5 ( 2 + 4 + 6) x 1/2
c. 0
d. 5 x 1/2 - 4 x 1/2

Answers

Answer:

Option B is correct.

It represents exactly the expectation.

Hope this helps!

:)

Answer:

The answer is B

STEP BY STEP EXPLANATION BOIZ:

if its an odd number four times the result   = 4 x (1 + 3 + 5)

If result is even you must pay five times the result = 5(2 + 4 + 6)

So 4 x (1 + 3 + 5) x 1/2 - 5(2+4+6) x 1/2 is the answer

Hope dis helped :3  o(* ̄▽ ̄*)ブ

What’s this answer?

Answers

Answer:

x=2, y=1

Step-by-step explanation:

The left and right sides are equal

7x-2 = 5x+2

Subtract 5x from each side

7x -5x-2 = 5x-5x+2

2x-2 = 2

Add 2 to each side

2x -2+2 = 2+2

2x = 4

Divide by 2

2x/2 = 4/2

x =2

The top and the bottom are the same length

6x+y = 7x-1

6(2) +y = 7(2)-1

12 +y = 14-1

Subtract 12 from each side

12 +y-12 = 13-12

y = 1

Suppose f(x) = x2. What is the graph of g(x)= 1/3f(x)

Answers

Answer:

Step-by-step explanation:

The graph of f(x) = x^2 is a parabola opening up and with vertex at (0, 0).

The graph of (1/3)f(x) is also a parabola that opens up and has vertex at (0, 0), but this new graph has been vertically compressed by a factor of 3.

The graph of g(x) = 1/3 f(x) is parabola. (as shown in the following image.)

What is the graph of a function?

"The graph of a function f is the set of all points in the plane of the form (x,  f(x))."

For given example,

f(x) = x²

The graph of a function f(x) would be a parabola with vertex at origin (0, 0).

And g(x) = 1/3 f(x)

⇒ g(x) = 1/3 (x²)

We know, the greater the quadratic coefficient, the narrower the parabola and the lesser the quadratic coefficient, the wider the parabola.

Since for a parabola g(x) the quadratic coefficient is 1/3.

This means the parabola g(x) is wider than the parabola f(x)

So, the graph of g(x) is the graph of f(x) scaled by 1/3 units.

The graph of g(x) is parabola (as shown in following figure)

Learn more about the graph of the function here:

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please help , 20 points

Answers

Answer:

C

Step-by-step explanation:

10% as a decimal is .10, or .1. This has to be added to the original wage, 1 (100%) so its 1.1

Doug purchased land for $8,000 in 1995. The year value of the land depreciated by 4% each year thereafter. Use an exponential function to find the approximate value of the land in 2002.

Answers

Answer:

Option C. $6,012

Step-by-step explanation:

we know that

The  formula to calculate the depreciated value  is equal to

[tex]V=P(1-r)^{t}[/tex]

where  

V is the the depreciated value  

P is the original value  

r is the rate of depreciation  in decimal

t is Number of Time Periods  

in this problem we have  

t = 7 years

P = $8,000

r = 0.04

substitute in the formula above

[tex]V = 8,000(1-0.04)^{7} = 6,012[/tex]

Hope this helps :)

What is the length of the hypotenuse of a triangle with the points (0,k), (0,0) and (2k, 0)?

Answers

the answer is 2 ! :)



Lines AB and CD are parallel. If 2 measures (3x - 33)°, and 4 measures 147°, what is the value of x?

Answers

X equals 22
Step by step:
189-147=33
33+33=66
66/3=22

A batter hits a fly ball. a scout in the stands makes the following observations. TIME (SECONDS) .75 1.5 2 2.75 3.25 4.75 HEIGHT (FEET) 77 133 160 187 194 169 What type of function that best models this data. use a graphing calculator to perform the regression for the best fit equation. write the resulting equation below, rounding to the nearest hundredth. determine the initial velocity of the baseball and the height of the ball when hit. round to the nearest hundredth. calculate how many seconds an outfielder has to position himself for the catch if he intends to catch the ball 6 feet above the ground. show your work and round to the nearest hundredth.

Answers

Answer:

y = -15.9x² + 110.48x + 3.02

initial velocity: 110.48 ft/s

initial height: 3.02 ft

time to cath the ball at 6 ft: 6.92

Step-by-step explanation:

In the picture attached, the plot of the data points and the equation of the best regression is shown, which correspond to a quadratic equation. (It was obtained using Excel)

The initial velocity is the second coefficient.

The initial height is the third coefficient.

Replacing y = 6 into the equation and solving with the quadratic formula:

6 = -15.9x² + 110.48x + 3.02

0 = -15.9x² + 110.48x + 3.02 - 6

0 = -15.9x² + 110.48x - 2.98

[tex]x = \frac{-b \pm \sqrt{b^2 - 4ac}}{2a} [/tex]

[tex]x = \frac{-110.48 \pm \sqrt{110.48^2 - 4(-15.9)(-2.98)}}{2(-15.9)} [/tex]

[tex]x = \frac{-110.48 \pm 109.62}{-31.8} [/tex]

[tex]x_1 = \frac{-110.48 + 109.62}{-31.8} [/tex]

[tex]x_1 = 0.03[/tex]

[tex]x_2 = \frac{-110.48 - 109.62}{-31.8} [/tex]

[tex]x_2 = 6.92[/tex]

In the context of the problem, only x2 has sense.

evaluate this expression:
(1/5 x 5) ^5

Answers

Answer:

The answer is x ^5

Daryl performs an experiment where he rolls a number cube 25 times and records the results. Three of the trials
resorted in a 1 being rolled. What can be said about the experimental and theoretical probability of rolling a one?
A. The experimental probability is greater than the theoretical probability.
B. The theoretical probability is greater than the experimental probability.
C The theoretical probability is equal to the experimental probability.
D. Nothing can be said to relate the two, because the number of trials was too small

Answers

Answer: it’s B

Step-by-step explanation:

I just took the test

Which of the following equations have infinitely many solutions?
Choose all answers that apply:
46x - 23 = 46x + 23
-46x + 23 = 46x + 23
46x + 23 = 46x +23
-46x - 23 = 46x + 23

Answers

Answer:

46x + 23 = 46x +23

Step-by-step explanation:

46x - 23 = 46x + 23

Subtract 46x from each side

-23 = 23

This is not true so there are no solutions

-46x + 23 = 46x + 23

Add 46x to each side

23 = 96x +23

Subtract 23 from each side

0 = 96x

x=0   one solution

46x + 23 = 46x +23

Subtract 46x from each side

23 = 23

This is always true so there are infinite solutions

-46x - 23 = 46x + 23

add 46x to each side

-23 = 96x +23

subtract 23 from each side

-46 = 96x

x = -1/2

Megan has a bag containing 5 pink marbles, 3 orange marbles, 6 green marbles, and 2 yellow marbles.

Megan started to develop a probability model. Here is the sample space.
S = {P, P, P, P, P, O, O, O, G, G, G, G, G, G, Y, Y}

Part A
put in order where it would go on the table 2/16, 3/16, 5/16, 6/16
Help Megan complete the model by assigning probabilities to the four listed events. Drag each fraction to the correct probability.

Part B
Suppose Megan drew a marble 80 times. Estimate how many times she should expect to draw an orange marble. Megan would draw an orange marble ____
times.

Answers

Step-by-step explanation:

To find the probability

Total marbles = 5 + 3 + 6 + 2 = 16

P pink = 5/ 16

P orange = 3/16

P green = 6/ 16 = 3/8

P yellow = 2/16 = 1/8

Part B when we divide 80 by 16 = 5

So she drew every marble 5 times

So 3 x 5 = 15

She drew the orange marble 15 times

Raffle tickets are being sold for a fundraiser. The function a(n) relates the
amount of money raised to the number of tickets sold, n.
It takes as input the number of tickets sold and returns as output the amount
of money raised.
a(n) = 3n - 25
Which equation represents the inverse function n(a), which takes the money
raised as input and returns the number of tickets sold as output?

Answers

Answer:

If the function is

A(n) = 4n -25

and we wish to get the inverse function N(a)

We let

A(n) = a

n = N(a)

Plugging in the values

a = 4 N(a) - 25

Arranging the equation:

4 N(a) = a + 25

N(a) = (a + 25) /4

The answer is

N(a) = (a + 25) /4

Step-by-step explanation:

The inverse function of a(n) = 3n - 15 is n(a) = 5 + a/3.

What is an inverse function?

An inverse function exists a function that undoes the action of another function. A function g exists as the inverse of a function f if whenever

y = f(x) then x = g(y).

We have:

a(n) = 3n - 15

Rewrite the above equation as

a = 3n - 15

Add 15 to both sides of the equation

3n = 15 + a

Divide through by 3, we get

n = 5 + a/3

Express as function then, we get

n(a) = 5 + a/3

Hence, the inverse function is n(a) = 5 + a/3.

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Find the value of the missing angle. Will mark brainliest.

Answers

Answer:

100

Step-by-step explanation:

Because adjacent angles in a parallelogram are supplementary, angle 1 and 80 must add up to 180 degrees. Therefore, angle 1 is 180-80=100 degrees. Hope this helps!

Answer:

100

Step-by-step explanation:

Hope this helped!

will give 100 pts again.
Sari applied the distributive property using the greatest common factor to determine the expression that is equivalent to 84 + 40. Her work is shown below. Factors of 84: 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84 Factors of 40: 1, 2, 4, 5, 8, 10, 20, 40 84 + 40 = 2(42 + 20) What statement best describes Sari’s error?

Answers

Answer: She did not use the factors in correct order therefore she is inncorrects

Step-by-step explanation: I got it right on edge

Answer:

Sari did not use the greatest common factor in the equation.

Step-by-step explanation:

What is the solution to the inequality |X-4 <3?
0 -7 O 1 X<-7 or x<-1
O x> 1 or x<7

Answers

Answer:

|X - 4| < 3 is equivalent to 1 < X < 7.

Step-by-step explanation:

Given

|X - 4| < 3

Required

Solution of the inequality

The options are not properly presented. However, I'll solve the question without considering the options.

To simplify the given inequality, it's worth knowing that the absolute function of any inequality returns the positive form of any value it takes (whether negative or positive).

Since, we've understood that the absolute can take negative of positive, the above inequality can take the following form

-3 < X - 4 < 3

Add 4 through

4 - 3 < X - 4 + 4 < 3 + 4

1 < X < 7.

Hence, |X - 4| < 3 is equivalent to 1 < X < 7.

11. Dr. Lamb is mixing a solution for his next patient. He has a cylindrical beaker
which is 4 inches across on the inside. The depth of the beaker is 9 inches. If 1
cubic inch of space holds 16.38 milliliters of water, about how many milliliters of
water will the beaker hold?​

Answers

Answer:

34.35 liters

Step-by-step explanation:

Consider the formula d = , where
d represents density,
• m represents mass and has units of kilograms (kg), and
V represents volume and has units of cubic meters (mº).
Select an appropriate measurement unit for density.

Answers

Answer:

kg/ m³

Step-by-step explanation:

Since density is= [tex] \frac{mass}{volume} [/tex], where mass is in kg and volume is in cm³, the unit of density would follow so it is kg/m³.

When using an equivalent fraction to find the percent , why do u write 100 as the denominator?

Answers

Answer:

This is because It is easy to convert a fraction to a percent when the denominator is 100. If a fraction does not have a denominator of 100, you can convert it to an equivalent fraction with a denominator of 100, and then write the equivalent fraction as a percent.

Step-by-step explanation:

someone help ples alk i need is the first two pleassss​

Answers

table:

x values: 5, 10, 15, 20, 25

y values: 7, 14, 21, 28, 35

Answer:

x values: 5, 10, 15, 20, 25

y values: 7, 14, 21, 28, 35

Step-by-step explanation:

just help me plssssssssss

Answers

Answer:

The perimeter of triangle is 30ft.

Step-by-step explanation:

First you have to find the value of a using Pythogoras Theorem, a² + b² = c² where a and b is the sides and c is the hypotenuse :

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

[tex] {a}^{2} = {c}^{2} - {b}^{2} [/tex]

[tex]a = \sqrt{ {c}^{2} - {b}^{2} } [/tex]

Let b = 12,

Let c = 13,

[tex]a = \sqrt{ {13}^{2} - 12 {?}^{2} } [/tex]

[tex]a = \sqrt{25} [/tex]

[tex]a = 5feet[/tex]

Next you have to find the perimeter of triangle by adding all the sides together :

[tex]perimeter = 5 + 12 + 13[/tex]

[tex]perimeter = 30feet[/tex]

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