A hockey puck has a diameter of 7.6 cm and a height of 3.4 cm. What is the volume of a cylindrical package containing six pucks? Express your answer to the nearest cubic centimeter.

Answers

Answer 1

Answer:

[tex]924.96\ cm^3[/tex]

Step-by-step explanation:

Given that,

The diameter of a hockey puck, d = 7.6 cm

Height, h = 3.4 cm

We need to find the volume of the volume of a cylindrical package containing six pucks.

Volume of 1 puck,

[tex]V=\pi r^2 h\\\\=3.14\times (3.8)^2\times 3.4\\\\=154.16\ cm^3[/tex]

Volume of 6 pucks,

[tex]V=6\times 154.16\ cm^3\\\\=924.96\ cm^3[/tex]

So, the volume of the 6 puck is [tex]924.96\ cm^3[/tex].

Answer 2

Given the dimensions of a single hockey puck, we want to find the volume of a cylindrical package containing six pucks. We will see that the volume must be 925 cm^3

So the volume of a cylinder of diameter D and height H is:

V = 3.14*(D/2)^2*H

Here we have:

D = 7.6cmH = 3.4cm.

Then the volume of each single puck is:

V = 3.14*(7.6cm/2)^2*3.4cm = 154.16cm^3

Then the volume of a package that contains 6 of these must have at least 6 times that volume:

6*V = 6*154.16cm^2 = 924.96 cm^3

Rounding to the next cubic centimeter we get 925 cm^3

So the volume of the package must be 925 cm^3

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Related Questions

2 to the power of 46 is how many times as many as 2 to the power of 42

Answers

Answer:

2⁴⁶ is 2⁻⁴ times as many as 2⁴²

Step-by-step explanation:

Given;

2 to the power of 46 = 2⁴⁶

2 to the power of 42 = 2⁴²

Let the number of times = y

2⁴⁶y = 2⁴²

divide both side of the equation by  2⁴⁶

[tex]\frac{2^{46}y}{2^{46}} = \frac{2^{42}}{2^{46}} \\\\y = 2^{42-46}\\\\y = 2^{-4}[/tex]

Therefore, 2  to the power of 46 is 2 to the power -4 times as many as 2 to the power of 42. (i.e 2⁴⁶ is 2⁻⁴ times as many as 2⁴²)

Answer:

16

Step-by-step explanation:

On Monday, I bought 1 dog and 2 cats for a total cost of $6.75. On Tuesday, /
bought 1 dog and 3 cats for a total cost of $9.25. Can you find the price of each
item

Answers

$2.31 each is the answer

According to Hatfield, which kind of love is about caring and intertwining your
life?
A. Attachment
B. Intimate love
C. Passionate love
D. Companionate love

Answers

the correct answer is companionate love.

According to Hatfield, the kind of love that is about caring and intertwining your life is companionate love.

Option D is the correct answer.

What is compassionate love?

Companionate love is a type of love characterized by feelings of intimacy and affection but without the intense passion or sexual attraction associated with passionate love.

We have,

Companionate love typically involves a deep level of commitment, trust, and mutual support between partners who have a strong emotional bond.

In companionate love, partners may still experience physical attraction to each other, but the primary focus is on building a strong, long-term partnership based on mutual respect, communication, and shared experiences.

This type of love is often seen in long-term relationships or marriages, where partners have developed a deep understanding and appreciation for each other over time.

Overall, companionate love is about caring for and supporting your partner through the ups and downs of life and building a life together based on shared values, goals, and interests.

Thus,

The kind of love that is about caring and intertwining your life is companionate love.

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Enter the equation in standard form.
y − 6 = −(x + 4)

Answers

Answer:   x + y = 2

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

Work Shown:

y - 6 = -(x + 4)

y - 6 = -x - 4

y = -x - 4 + 6 ..... adding 6 to both sides

y = -x + 2

y + x = 2 .... adding x to both sides

x + y = 2

The equation is in standard form Ax+By = C, with A = 1, B = 1, and C = 2.

Forensic scientists can determine the approximate height that a person was by measuring the length of the femur (thigh bone). They use a formula to calculate the person’s height, based on the person’s race and gender. The formula for a Caucasian female is given by: height = 2.47f + 54.13, where f is the length of the femur in centimeters.

To the nearest centimeter, how many centimeters long is the femur of a female who is 168 centimeters tall?

46 centimeters
90 centimeters
14 centimeters
469 centimeters

Answers

Answer:

46 centimeters.

Step-by-step explanation:

First you need to plug in the numbers you have.

Your equation now is:

168 = 2.47f + 54.13.

You could use the process of elimination, or you could solve it algebraically.

168 = 2.47f + 54.13.

What you want to do is subtract 54.13 from both sides.

113.87 = 2.47f.

Now divide 2.47 from both sides.

46

The length of the femur of a female with a height of 168 cm is; Option A: 45 centimeters.

We are given the formula for Caucasian female's height as;

H = 2.47f + 54.13

Where;

f is the femur length in cm.

H is height in cm

Thus, if a females height is 168 cm, then;

168 = 2.47f + 54.13

Using subtraction property of equality by subtracting 54.13 from both sides gives;

168 - 54.13 = 2.47f

113.87 = 2.47f

Using division property of equality, divide both sides by 2.47 to get;

113.87/2.47 = f

f ≈ 46 cm

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Find 3 ratios that are equivalent to the given ratio.
12 to 30

Answers

Answer:

4:10

24:60

48:120

As long as you multiply or divide both sides of the ratio by the same number, you will have an equivalent ratio.

Somebody help this assignment is due tonight for a grade

Answers

1.) 24 pack for $6.88
2.) 12 oz box for $2.15
3.) 16 pound turkey for $20.00
4.) $1.60 per notebook

At the bottom it says

m/_XZY=

Please help

Answers

Answer:

x=13

Step-by-step explanation:

Once again, all three angles of a triangle add up to 180° so we can form the equation: 47+90(this is the right angle)+4x-9=180°

Algebra:

47+90+4x-9=180

128+4x=180

4x=52

x=13

Hope this helps!! :) And that's all the time I have!! :( You can do it!! Good luck with the rest of your homework! :D

I'M IN A HURRRRYYYYYY
PLEASEE HELP
18 POINTS
Which expression is equivalent to square root 80
^4 square root 2 times square root 5
square root 2^4 times square root 5
square root 2 times square root 2 times square root 5
square root 2^2 times square root 2^2 times square root 5^2

Answers

Answer:

4 square root 5 (A)

Step-by-step explanation:

Given:  square root of -80

We have to find an equivalent expression.

(hope this helps) :))

Answer:

I think the second one. I could be wrong

Step-by-step explanation:

HURRY WILL MARK BRAINLESS
Which expression is equivalent to ပါ။ (C) - -​

Answers

First to Answer

Answer:

The correct option is the third option. -2 1/4 / -2/3 = 3 3/8

-9/4 / -2/3 = 3 3/8

HELP ME PLEASE ASAP?!?!
What is the area of the obtuse triangle given below?

Answers

Answer:c

Step-by-step explanation:

Triangle with angles 1, 2, 3 has a baseline k, and triangle with angles 4, 5, 6 has a baseline l. Lines k and l are parallel. Given that k ∥ l, identify the congruent angles in the triangles. ∠1≅ ∠2≅ ∠3≅

Answers

Answer:

angel 5,4,and 6 in that order

Step-by-step explanation:

Answer:

look at the pictureeeeeee

Step-by-step explanation:

The value of a mountain bike y (in dollars) can be approximated by the model y=200(0.75)t, where t is the number of years since the bike was new.
Would this table show growth or a decline (decay)? How do you know?




Identify the annual percent increase or decrease in the value of the bike.





Estimate when the value of the bike will be $50.

Answers

The mountainbike will cost 72 bucks

Daniela has a container full of marbles. She gives away some of her marbles every day for five days. Each day, she has 1/4 the number of marbles she had a previous day. What fraction of the original number of marbles does Daniela have left after five days?

Answers

Given:

Daniela gives away some of her marbles every day for five days.

Each day, she has [tex]\dfrac{1}{4}[/tex] the number of marbles she had a previous day.

To find:

The fraction of the original number of marbles Daniela have left after five days.

Solution:

Let the origin number of marble be x.

Number of marbles after one day = [tex]\dfrac{1}{4}x[/tex]

Number of marbles after two days = [tex]\dfrac{1}{4}(\dfrac{1}{4}x)[/tex]

                                                        = [tex](\dfrac{1}{4})^2x[/tex]

Similarly,

Number of marbles after three days = [tex](\dfrac{1}{4})^3x[/tex]

Number of marbles after four days = [tex](\dfrac{1}{4})^4x[/tex]

Number of marbles after five days = [tex](\dfrac{1}{4})^5x[/tex]

                                                         = [tex]\dfrac{1}{1024}x[/tex]

Since, [tex]\dfrac{1}{1024}[/tex] is multiplied with x, therefore, the number of marbles Daniela have left after five days is [tex]\dfrac{1}{1024}[/tex] part of original number of marbles.

plz help HW
plz help HW
plz help HW

Answers

Answer:

55°, 70°, 55°

Step-by-step explanation:

Δ MHP is right triangle, therefore

m∠P = 90° - 35° = 55°

ΔMNP  is isosceles triangle as MN = MP, therefore

m∠N = m∠P = 55°m∠NMP = 180° - 2*55° = 70°

55°, 70°, 55° tbh i just got it from googgg le

determine the range of the following graph​

Answers

Answer:It has to be more clear

Step-by-step explanation:

On a 40-question test, Peggy answers 34 questions correctly. What percent of the questions does she answer correctly?
A. 85%
B. 0.75
C. 1.17%
D. 8.5%

Answers

Answer:

A.) 85%

Step-by-step explanation:

the answer is A 85%

if y=6 and x=-2, find x when y=-3

Answers

Answer:

1

Step-by-step explanation:

if you divide 6 by -2 you will end up with -3, so then you will divide -2 by -2 and you will get 1.

Find the value of x.
28°

Answers

The value of x is 56 degrees.

What is a Right Angle Triangle ?

A right angle triangle is any angle in which the value of the angle is 90°

The value of the other angle in the right angle will be 90 - 28 = 62°

Since the two triangles in the figure are isosceles triangles, the two angle at the base of an isosceles triangle will be the same.

Sum of the angle of a triangle = 180°

Then, 62 + 62 + x = 180

124 + x = 180

make x the subject of formula

x = 180 - 124

x = 56

Therefore, the value of x is 56 degrees.

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Work out the answers to:
a) 7 - 41
b) (-15) + 33
c) 62 - 84
d) (-26) – 14

Answers

Answer:

a= -34

b=18

c=-22

d=-40

a) -34
b) 18
c) -22
d) -40

hope this helps :)

A wildlife preserve features a crocodile with a documented age of 24 years, believed to be one of the oldest crocodiles in captivity. The lifespans of crocodiles have an approximately Normal distribution, with a mean of 18 years and a standard deviation of 2.6 years. What proportion of crocodiles have lifespans of at least 24 years? Find the z-table here. O 0.0104 O 0.3336 O 0.4896 O 0.6664​

Answers

Answer:

0.0104

Step-by-step explanation:

Given that, the lifespans of crocodiles have an approximately Normal distribution, with a mean of 18 years and a standard deviation of 2.6 years.

So, mean, [tex]\mu=18[/tex]

and standard deviation, [tex]\sigma=2.6[/tex]

The z-score, for any arbitrary life span of  x year, is given by

[tex]z=\frac{x-\mu}{\sigma}[/tex]

By using the given values, we have

[tex]z=\frac{x-18}{2.6} \cdots(i)[/tex]

The z-score for x=24, by using equation (i), is

[tex]z=\frac{24-18}{2.6}=\frac{6}{2.6}=2.31[/tex]

From the table, the area to the left side of z=2.31 =0.98956

But, the proportion of crocodiles have lifespans of at least 24 years

= Area to the right side of the z=2.31

=1- (Area to the left side of the z=2.31)

=1-0.98956

=0.01044

So, the proportion of crocodiles that have lifespans of at least 24 years is 0.0104.

Hence, option (a) is correct.

Answer:

A

Step-by-step explanation:

Helppppppppppppppppppp

Answers

Answer is -4/3
Merry Christmas

are the angels vertical or adjacent

Answers

Answer:

Adjacent

Step-by-step explanation:

Adjacent angles are when two angles have a common side and a common vertex (corner point) and don't overlap.

Vertical angles are each of the pairs of opposite angles made by two intersecting lines.

In this diagram, the angles are adjacent.

Hope this helps and answers your question! :)

any real number is equal to itself a=a

Answers

Answer:

well no, π is a real number and 1/9 is a real number but they are not equal

Yes, If you saying a=a

Step-by-step explanation:

Answer:

Yes, that's true

Step-by-step explanation:

If a real number is the representation of a specific value, then said number should equal itself.

Help me! I’ll mark you brainly!

Answers

Answer:

Step-by-step explanation:

15) 1

16) 4

17) 21.95

Leslie can buy her dog's food at Petco for $25 and receive 9 packs with four cans in each. Leslie can buy the same food at Petsmart for the same price with 7 packs of six cans in each. Which store should Leslie buy her dog food from?

Answers

Answer:

Leslie should buy her dog food from Petsmart  because the price per can is cheaper

Step-by-step explanation:

Step one;

given data

At Petco, we are told that she receives 9 packs with four cans each for $25

Hence Petco gives a total of 9*4= 36cans

the cost of each can will be 25/36

=$0.69 per can

Step two:

At Petsmart, we are told that she receives 7 packs with six cans each for $25

Hence Petsmart gives a total of 7*6= 42cans

the cost of each can will be 25/42

=$0.59 per can

Leslie should buy her dog food from Petsmart  because the price per can is cheaper

2) Read and answer the following
12 points
Kenisha goes to the market with $30 in
her wallet. She is going to buy candy and
water bottles. Each candy at the market
costs $2 and each water bottle costs $1.
Which of the following equations can
represent the amount of candy and water
Kenisha can buy at the market?
$30 = c + $2w
O $30 = $2c + W
$30 + w = $20
$30 -2C = -W

Answers

Ya the correct answer is b. Bc water is only 1 dollar and each c is 2 dollars

A girl's feet are negative 2 over 4 yards from the surface of a pool. A boy's feet are negative 3 over 4 yards from the surface of the pool. Determine whose feet are closer to the surface. pls help asap

Answers

The boys feet are closer. -3/4 is closer than -2 feet

which of the following must be true

Answers

Answer: it is c

Step-by-step explanation:

C) angle c is congruent to angle q

13
According to the social hierarchy below, which of the
following held a higher place in society?
A
slaves
B
scribes
C С
Craftworkers
D
peasants/farmers

Answers

The answer is B. scribes
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