3. A rectangular prism has dimensions of , 2, and in.
(a) Determine the edge length of the largest unit cube that you could use to pack the prism. Explain.
(b) What is the volume of the prism? Explain.
(c) How many cubes with the edge length from part (a) will fit into the prism? Explain.

Answer:

Answers

Answer 1

Answer:

(b). 3.5

(c). 28 cubes

Step-by-step explanation:


Related Questions

Multiple Choice Question:

x2+2x-48=0 is a(n)

A.) Equation
B.) Expression

Answers

Answer:

This is an equation.

Step-by-step explanation:

An expression would mean that there is no equal sign, but since there is, that makes it an equation.

Calculate the exact value of cos(a−b) given that sin a=12/13 with π/2

Answers

Answer:

Step-by-step explanation:

[tex]sin ~a=\frac{12}{13} ,\frac{\pi}{2} <a<\pi\\a ~is~in~2nd~quadrant.\\sin~b=\frac{3}{5} ,0<b<\frac{\pi}{2} \\b~is~in~1st~quadrant.\\cos~b=\sqrt{1-sin ^2b} \\=\sqrt{1-(\frac{3}{5} )^2} \\=\sqrt{\frac{25-9}{25} } \\=\sqrt{\frac{16}{25} } \\=\frac{4}{5} ,\\cos~a=-\sqrt{1-sin^2 a} \\=-\sqrt{1-(\frac{12}{13} )^2} \\=-\sqrt{\frac{169-144}{169} } \\=-\sqrt{\frac{25}{169} } \\=-\frac{5}{13} \\cos(a-b)=cos~acos~b+sin~a sin~b\\=\frac{-5}{13}* \frac{4}{5} +\frac{12}{13}* \frac{3}{5} \\=?[/tex]

300 is what percent less than 599

Answers

Answer:

59.8%

Step-by-step explanation:

599 - 300 = 299. Now we need to find the percentage 299 is of 500.

299 / 500 = 0.598

0.598 as a percent is 59.8%.

Answer: 59.8%

Hope this helps!

What’s the missing side length? Round to the nearest tenth please :)))

Answers

Answer:

the answer is 4.6

Step-by-step explanation:

the explanation is shown in the following attachment below...

hope this helps...

find the missing variables pythagorean theorem

Answers

Answer:

y = 12     x = 12√2     z  = 12√3

Step-by-step explanation:

The 45° triangle will also have a height of y so....

    y² + y² = x²          2y²  = x²     y² = x²/2       y = √(x²/2)

The 30°  triangle

    y² + z² = 24²                          y² = 24² - z²          y = √(24² - z²)

                               

sin 30 = y/24          1/2 = y/24      y = 12    

          y² = x²/2

         12² = x²/2²

    2(144)  = x²         x = √(288)       x = 12√2  

      y² + z² = 24²

           z² = 24² - y²

           z² = 24² - 12²

           z² = 576 - 144

            z² = 432      

                =  √(16·9·3)

            z  =  4·3√3

            z  = 12√3

     y² + z² = 24²

    12² + (12√3)² = 24²

    144 + 144·3    =   576

     2y²  = x²

     2(12)²  = x²

      288  =  (12√2)  = 144·2  = 288

The sales tax rate on a new vehicle is 6.5%. If the vehicle is $12,000, then how much will you be charged for sales tax

Answers

12,000+sales tax would be the offer the dealer has so it wouldn’t be 12000::34

DeVondrea stacked 2
quarters and a nickel on top
of each other. What is the
thickness of the stack of
coins?

Answers

Answer:

Step-by-step explanation:

Number of nickels = $1 * 1 nickel/$0.05 = 20 nickels

Thickness of 20 nickels = 20 nickels * 1.95 mm = 39 mm

Let's do the same for the quarters. Each quarter is worth $0.25.

Number of quarters = $1 * 1 quarter/$0.25 = 4 quarters

Thickness of 4 quarters = 4 quarters * 1.75 mm = 7 mm

Find the ratio of the two:

39 mm/7 mm = 5.57

H) Cole worked 20 hours and
earned $500. How many hours must Cole work in order to earn $700?

Please help me :)

Answers

Answer:

he would have to work 28 hours

Step-by-step explanation:

Answer:

Cole have to work 28 hours


Find the range of values of k for which -7x^2+9x+k is always negative for all real values of x.​

Answers

Answer:

-7x^2 +9x-ki

Step-by-step explanation:

A punch bowl has 1/3 of a gallon of Rainbow sherbet, 1/2 of a gallon of Sprite, and 1/6 of a gallon of Sundrop. After the punch is split equally among two serving bowls how much of each ingredient is in one serving bowl. How much Rainbow Sherbet will be in the bowl if it is split equally between two bowls?

Answers

Answer:

1/6

Step-by-step explanation:

To solve this, multiply the denominator by 2, which would be 2x3 which would be 6.

Josh cycled 8 laps on a bicycle path surrounding a lake. Each lap was the same length. If he cycled a total of 26.4mi, what was the length of each lap around the lake? Write your answer in feet. Use the table of conversion facts as necessary, and do not round your answer. ft

Answers

Answer:

The length of each lap around the lake was of 3.3 miles.

Step-by-step explanation:

Given that Josh cycled 8 laps on a bicycle path surrounding a lake, and each lap was the same length, to determine what was the length of each lap around the lake if he cycled a total of 26.4 miles, the following calculation must be performed:

26.4 / 8 = X

3.3 = X

Thus, the length of each lap around the lake was 3.3 miles.

In 2011, 51% of cell phone owners in a country reported that their cell phone was a smartphone. The following year, the researchers wanted to test to see if the proportion of cell phone owners in that country who have a smartphone has increased over time at the a = 0.05 level. They surveyed a random sample of 934 cell phone owners in that country and found that 501 of them had a smartphone. They conducted a significance test and found the p-value to be 0.0532. Is there convincing evidence that the proportion of cell phone owners in that country who have a smartphone has increased over time?

Answers

Answer:

The calculated value Z = 1.5950 < 1.96 at 0.05 level of significance

The null hypothesis is accepted at a 0.05 level of significance

The proportion of cell phone owners in that country who have a smartphone has not increased over time

Step-by-step explanation:

Step(i):-

Given that the random sample size 'n' = 934

Given that the population proportion P = 0.51

                                                            Q= 1-P

                                                           Q = 1- 0.51 = 0.49

The sample proportion

                                   [tex]p = \frac{x}{n} = \frac{501}{934} = 0.5364[/tex]

Level of significance = 0.05

Critical value Z₀.₀₅ = 1.96

Step(ii):-

Null hypothesis:  P < 0.51

Alternative Hypothesis : P > 0.51

  Test statistic

                    [tex]Z = \frac{p-P}{\sqrt{\frac{PQ}{n} } }[/tex]

                   [tex]Z = \frac{0.536-0.51}{\sqrt{\frac{0.51 x 0.49}{934} } }[/tex]

                  Z =  1.5950

Final answer:-

Given that P-value 0. 0532

P-value > 0.05

Rejected Alternative Hypothesis and accepted null hypothesis

               ( OR)

The calculated value Z = 1.5950 < 1.96 at 0.05 level of significance

The null hypothesis is accepted at a 0.05 level of significance

The proportion of cell phone owners in that country who have a smartphone has not increased over time

Find the area of the figure below. Round to the nearest tenth.

Answers

6x9 + 3^2pi would be the area so 54+9pi=57.14

find the missing length

Answers

Answer:

PQ=36

Step-by-step explanation:

If the triangles are similar, then they must have a common ratio between them.

RQ corresponds with CB, so [tex]\frac{84}{18}=\frac{14}{3}[/tex]

If the ratio is [tex]\frac{14}{3}[/tex], then [tex]\frac{168}{\frac{14}{3}}=36[/tex], so PQ=36.

a car is moving 70 miles per hour. how far does it travel in 16secs

HELP ME PLS ITS URGENT!!!!!!!!!!!!

Answers

Answer:

180

Step-by-step explanation:

Plz give the answer for 8th and 9th question​

Answers

Answer:

8. 8/9 is not the multiplicative inverse of –1⅛

9. 0.3 is the multiplicative inverse of 3⅓

Step-by-step explanation:

To answer the above questions, we must understand the meaning of multiplicative inverse. This is illustrated below:

Let y be the number.

The multiplicative inverse of y denoted by y¯¹ (or 1/y) when multiplied with y will give an identity of 1 i.e

y × y¯¹ = 1

Or

y × 1/y = 1

Now, let us answer the questions given above by calculating the multiplicative inverse.

8. The number (y) = –1⅛ = –9/8

Multiplicative inverse (y¯¹) =?

y × y¯¹ = 1

–9/8 × y¯¹ = 1

Divide both side by –9/8

y¯¹ = 1 ÷ –9/8

y¯¹ = 1 × –8/9

y¯¹ = –8/9

Thus, 8/9 is not the multiplicative inverse of –1⅛

9. The number (y) = 3⅓ = 10/3

Multiplicative inverse (y¯¹) =?

y × y¯¹ = 1

10/3 × y¯¹ = 1

Divide both side by 10/3

y¯¹ = 1 ÷ 10/3

y¯¹ = 1 × 3/10

y¯¹ = 3/10

y¯¹ = 0.3

Thus, 0.3 is the multiplicative inverse of 3⅓.

Bob took out a 5 year loan for $4000 and paid 3% annual simple interest

Bill took out a 4 year loan for $4000 and paid 5% annual simple interest

What is the sum of amounts of interest bob and bill paid for their loans

Answers

Bob ended up paying an extra 600 in interest over the 5 years for a total of 4600
Bill ended up paying 800 in interest for 4 years for a total of 4800

Devon has $5,768 in his savings account, which is $2,709 more than Serena has in her savings account. How much money does Serena have in her savings account?

Answers

I got 8,477 . I hope it’s right

The histogram below shows the number of push-ups the students in Hayley's class can do.



Select all of the true statements about the data.

The majority of students can do more than 15 push-ups.
The data distribution is skewed to the right.
More students did 6-10 push-ups than 11-15 push-ups.
The students in Hayley's class can do between 1 and 25 push-ups.
The data distribution is skewed to the left.

Answers

Statements 1, 4, and 5 are true.

HELP! ITS DUE RIGHT NOW HELP

Answers

Answer:

Step-by-step explanation:

D

Answer:

x > 2

Step-by-step explanation:2 and under

please help!!!hehene snsn

Answers

Answer:

y = 2x+2

As we can see X has 0 while Y has 2 already, meaning the Y intercept has to be 2.

Answer:

its B

Step-by-step explanation:

y=2x

3% as a fraction
a- 1/50
b-3/100
c-30/100

Answers

Answer:

b

Step-by-step explanation:

Answer:

The answer is b

Step-by-step explanation:

100 represents a whole amount so the numerator would be 3 over 100 because it is 3% out of a total of 100.

A shirt company packs 24 shirts in a box. How many boxes do they need to pack 14,568 shirts?

Answers

607 because u can just divide 14,568 by 24

Answer:

607 boxes are needed to pack all 14,568 shirts.

Step-by-step explanation:

we need to use division for this to see how many boxes 14,568 shirts will fit in.

14568 / 24 = 607

607 boxes will be needed to pack those shirts.

hope this helped, good luck!

-cheesetoasty

Please help me with this for 20 points !!!!

Answers

Answer:

A (the first answer)

Step-by-step explanation:

I need find the value of x

Answers

Answer:

x = 115

Step-by-step explanation:

The chord- chord angle x is half the sum of the arcs intercepted by the angle and its vertical angle, then

x = [tex]\frac{1}{2}[/tex] (145 + 85 ) = 0.5 × 230 = 115

Step-by-step explanation:

answer is 115 you should solve it also your answer will be same


One number is five less than a second number. Five times the first is 2 more than 2 times the second. Find the numbers.

Answers

Your numbers are 4 and 9

We’ll call the first number a, the second b.
a = b - 5
5a = 2b + 2
(if you’re not sure where I got those equations, just let me know in the comments.)

Then we’ll substitute the first value into the second equation:

5(b - 5) = 2b + 2
5b - 25 = 2b + 2
3b = 27
b = 9

a = b - 5
a = 9 - 5 = 4

Name a pair of lines that are perpendicular

Answers

Answer:

Two distinct lines intersecting each other at 90° or a right angle are called perpendicular lines. Here, AB is perpendicular to XY because AB and XY intersect each other at 90°. The two lines are parallel and do not intersect each other. They can never be perpendicular to each other.

Step-by-step explanation:

hope it helps:)

Only if there slopes are negative

A triangle has a 90° angle and two sides that measure 5 cm in length. Which statements are true about this triangle?

Answers

Answer:

what are the statements

Step-by-step explanation:

We don’t know what the statements are so we can’t do anything

Give one word for the following.

To find the way, carefully and safely​

Answers

GPS.....................GPS..............................................................................................

What is 1/2 plus 1/3 plus 5/6 ??

Answers

Answer:

10/6 or 5/3

Step-by-step explanation:

1/2 ---> 3/6

1/3 ---> 2/6

5/6 ---> 5/6

Add those new fractions together:

(3/6) + (2/6) + (5/6) = 10/6 or 5/3

Answer:

10/6 or 5/3

Step-by-step explanation:

Hope it help's :)

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