3. A rectangular prism has dimensions of 1/2 , 2, and 7/2 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.

Answers

Answer 1

Answer:

A

Step-by-step explanation:

B.In

geometry, a prism is a polyhedron comprising an n-sided polygon base, a second base which is a translated copy of the first, and n other faces, necessarily all parallelograms, joining corresponding sides of the two bases. All cross-sections parallel to the bases are translations of the bases.

C.4 cubes is have

I hope it helps


Related Questions

Find the distance using the modulus of the difference between z1 = -8 + 3i and z2 = 7 - 4i.

Answers

Answer:

[tex]d = 16.55[/tex]

Step-by-step explanation:

Given

[tex]z_1 = -8 + 3i[/tex]

[tex]z_2 = 7 - 4i[/tex]

Required

The distance between them

First, calculate the difference (d) between z1 and z2

[tex]d = z_1 - z_2[/tex]

[tex]d = -8 + 3i - [7 - 4i][/tex]

Open bracket

[tex]d = -8 + 3i - 7 + 4i[/tex]

Collect like terms

[tex]d = -8 - 7+ 3i + 4i[/tex]

[tex]d = -15+ 7i[/tex]

Using modulus, we have:

[tex]d = \sqrt{R^2 + I^2}[/tex]

Where

R = Real Part = -15

I = Imaginary Part = 7

So, we have:

[tex]d = \sqrt{(-15)^2 + 7^2}[/tex]

[tex]d = \sqrt{225 + 49}[/tex]

[tex]d = \sqrt{274}[/tex]

[tex]d = 16.55[/tex]

What is the slope of the line that passes through the points (-3, -3)(−3,−3) and (-18, -23) ?(−18,−23)? Write your answer in simplest form.

Answers

Answer:

[tex]\frac{4}{3}[/tex]

Step-by-step explanation:

1. the requred slope can be calculated using the formula:

[tex]slope=\frac{|y_1-y_2|}{|x_2-x_1|};[/tex]

2. according to the formula above:

slope=(23-3)/(18-3)=20/15=4/3

XYZ Inc. has a cost of common stock of 14%, a cost of preferred stock of 10%
percent, an after-tax cost of debt of 4%, and a tax rate of 21%. Given this, which one of the following will reduce the firm's WACC, given that its PE ratio is equal to 24?
A. Decreasing XYZ's beta
B. Repurchasing shares of common stock
C. Increasing the debt-equity ratio

Answers

A. Decreasing XYZ’s beta

solve the followin question each question carries
K2-2K-24=0

Answers

Answer:

Are u guys solving for k?

Step-by-step explanation:

The stock of Company A lost $1.90 throughout the day and ended at a value
of $36.10. By what percentage did the stock decline?

Answers

Answer:

5%

Step-by-step explanation:

36.10 + 1.90 = 38

1.9 / 38 = 0.05

0.05 x 100 = 5

ANSWER IMMEDIATELY! GIVING BRAINLIEST !!

Answers

Answer:

h = 14 units

Step-by-step explanation:

area of parallelogram = bh

plug everything in: 84 = (6)h

h = 84/6 = 14

⚠️ PLEASEEEE HELPPPPPP !!!!!

Answers

Answer:

Where is the pic

Step-by-step explanation:

Which equation describes the line???

Answers

Answer:

The answer is D. y-10=2(x-1)

Step-by-step explanation:

[tex]y-y_{1}=m(x-x_{1})[/tex]

First, find the slope from the two points:

m=(10-2)/(1+3)=2

let [tex]y_{1}=10 and x_{1}=1[/tex]

thus, y-10=2(x-1)

Solve: (-8)(-9)(-3)
Divide or multiple

Answers

Answer:

(-8)(-9)(-3)= -216

Step-by-step explanation:

-8 x -9 x -3 = -216

How many recent graduates make less than 44,000 dollars

Answers

Answer:

C) 1,000 students

Step-by-step explanation:

Look at the bar graph and add up all the values less than 44,000.

:D

1,000 dollars because you see how it goes from low to high

(c) If tanA =1/2 find the value of tan3A








Answers

Answer:

5.5

Step-by-step explanation:

tana=3a=3tana-tana^3a/1-3 tana^2a

=3(1/2)-(1/2)^3/1-3(1/2)^2

=3/2-1/8 /1-3/4

=(12-1/8)/1/4)

=(11/8)/(1/4)

=11/8×4

11/2====5.5

i think it help you do by this way if the answer is not this

What’s 22,000 - 407% of 60?

Answers

Answer:

21,755.8

Step-by-step explanation:

To solve this equation, we must first find 407% of 60.

To do this, place the percent over 100 (fraction form), then, multiply it by the number you're finding the percentage of.

407/100 x 60/1 = 24,420/100

24420 / 100 = 244.2

244.2 is 407% of 60.

Lastly, you subtract 244.2 from 22,000.

22,000 - 244.2 = 21,755.8

Answer:

21755.8

Step-by-step explanation:

407%=4.07

4.07*60=244.2

22,000-244.2=21755.8

Help!! Thanks in advance

Answers

Answer:

I uploaded a file hosting for your question!

Here’s the answer:

bít.ly/idonotscampeople

Step-by-step explanation:

[tex]\frac{9}{11} =\frac{x}{22}[/tex]

[tex]11x=198[/tex]

[tex]x=18[/tex]

Answer:

18 is the answer of the question

helppp please i don’t understand

Answers

Here's the Solution,

let's take :

x1 = 7x2 = 3y1 = 5y2 = 2

now,

=》

[tex]d = \sqrt{(x2 - x1) {}^{2} + (y2 - y1) {}^{2} } [/tex]

=》

[tex]d = \sqrt{(3 - 7) {}^{2} + (2 - 5) {}^{2} } [/tex]

=》

[tex]d = \sqrt{( - 4) {}^{2} + ( - 3) {}^{2} } [/tex]

=》

[tex]d = \sqrt{16 + 9} [/tex]

=》

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

=》

[tex]d = 5[/tex]

So, distance between the points is 5 units

The only solution to x^2+bx+c=0 is x=5 find a and b

Answers

Answer:

b=-10

c=25

Step-by-step explanation:

if the only solution is 5 so

x^2+bx+c=(x-5)²=x²-10x+25

b=-10

c=25

y varies directly as x and inversely as the square root of w; write the sentence as an equation: ​

Answers

Hope this helps gud luck

alicias garden is 50 square feet. inside of her garden she plants a section of tomatoes that is 3 feet by 4 feet how much more spaces does she have left in her garden to plant other crops

Answers

Answer:

38 square feet. in return please subscribe to Amiredagoat Yt.

Step-by-step explanation:

If 50 square feet make up Alicia's garden. She plants a part of tomatoes within her garden that is 3 feet by 4 feet. She has 38 additional feet of room in her garden to grow various kinds of vegetables.

What is a rectangle?

It is defined as two-dimensional geometry in which the angle between the adjacent sides is 90 degrees. It is a type of quadrilateral. The area occupied by the rectangle in two-dimensional planner geometry.

The area of a rectangle can be calculated using the following formula:

Rectangle area = length x width

It is given that, Alicia's garden is 50 square feet. inside her garden, she plants a section of tomatoes that is 3 feet by 4 feet

In daily life, area and perimeter are used for a variety of purposes, including determining a home's floor area, a footpath's circumference, a wire fence around a park, etc.

Area of Alicia's garden = 50 square feet

Area of a section of tomatoes that is 3 feet by 4 feet,

A=4 × 3

A=12 sq feet

The spaces she has left in her garden to plant other crops is,

=50 - 12

=38 square feet

Thus, if 50 square feet make up Alicia's garden. She plants a part of tomatoes within her garden that is 3 feet by 4 feet. She has 38 additional feet of room in her garden to grow various kinds of vegetables.

Learn more about the rectangle here:

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A golfer drives a ball 21 degrees from a line between the tee and the hole that is 380 yards away. How far is the ball from the whole if it landed 190 yards from the tee?

NEED WORK

Answers

Answer:

190

Step-by-step explanation:

its 170 because 380-170=190

Indicate the general rule for the arithmetic sequence with a3 = -12 and a8 = -37

Answers

Answer:

The general rule is [tex]a_n = -2 - 5(n-1)[/tex]

Step-by-step explanation:

Arithmetic sequence:

In an arithmetic sequence, the difference between consecutive terms is always the same, and this difference is called common difference.

The general rule of an arithmetic sequence is given by:

[tex]a_{n} = a_1 + (n-1)d[/tex]

In which [tex]a_1[/tex] is the first term and d is the common difference.

We can also find the nth term as a function of a term m, using:

[tex]a_n = a_m + (n-m)d[/tex]

a3 = -12 and a8 = -37

First we find the common difference. So

[tex]a_n = a_m + (n-m)d[/tex]

[tex]a_8 = a_3 + (8-3)d[/tex]

[tex]-37 = -12 + 5d[/tex]

[tex]5d = -25[/tex]

[tex]d = -\frac{25}{5}[/tex]

[tex]d = -5[/tex]

So

[tex]a_n = a_1 - 5(n-1)[/tex]

Finding the first term:

[tex]a_n = a_1 - 5(n-1)[/tex]

Since [tex]a_3 = -12[/tex]

[tex]a_n = a_1 - 5(n-1)[/tex]

[tex]a_3 = a_1 - 5(3-1)[/tex]

[tex]a_1 = a_3 + 10 = -12 + 10 = -2[/tex]

So the general rule is:

[tex]a_n = a_1 - 5(n-1)[/tex]

[tex]a_n = -2 - 5(n-1)[/tex]

Heres another math question! Please no links, and dont answer if you dont have an answer or I will report!

hope you have an amazing day lovely! <3​

Answers

The answer is subtract 5 from both sides :) by doing this, the equation becomes x= 7-5, isolating the variable (x) hope this helps!! <3

Which expression is equivalent to 4/9×7?

Answers

4 x 7 divided by 9. Set 7 equal to 7/1. Now you have 4/9 x 7/1. Multiply numerators and denominators

Median of 5,4,6,3,4?

Answers

Answer:

4

Step-by-step explanation:

3, 4, 4, 5, 6

Answer:

4

Step-by-step explanation:

Sort values from smallest to largest: 3, 4, 4, 5, 6  

Find the center index value:

(N) = 5

Center index = [tex]\frac{(N+1)}{2}[/tex]

Center index = 3

The median is the 3rd value, which is 4.

Hope that this helps!

The equation p=100−5t represents the percent p of battery power remaining in a tablet after t hours.

a. Identify the independent and dependent variables. Then describe how the battery power changes over time.

The independent variable is
and the dependent variable is
.

The battery power begins at
% and decreases
% each hour.

Question 2

Answers

Answer:

Independent variable (x in 2D cartesian) = t (time)

Dependent variable (y in 2D cartesian) = p (battery power)

The independent variable is time.

The dependent variable is battery power.

Time is independent because it cannot be controlled.

Battery power is dependent because it can be controlled.

Since t is in hours,

The battery power begins at 100% and decreases 5% each hour.



What is the area of this triangle?
h = 5 in.

b =10 in.

Answers

Answer:

25 in²

Step-by-step explanation:

A = [tex]\frac{1}{2}[/tex]hb = [tex]\frac{1}{2}[/tex] × 5 × 10 = 25 in²

Answer:

25 units²

Step-by-step explanation:

Formula for calculating the area of a triangle:

A = hb/2

A = 5(10)/2

A = 50/2

A = 25

Is 7/10 a simplest form

Answers

Answer:

710

Step-by-step explanation:

Detailed Answer: The fraction 710 is already in the simplest form, so it isn't possible to reduce it any further.

The owner of a small store buys coats for $55 each answer Parts A and B. Hey. He sells the coats for $66 each. What is the percent of the purchase price is the sale price? The sale price is 120% of the purchase price B. The owner increases the sale price by the same percent that you found in part A when he buys jackets for $45 and sells them. How many jackets must the owner by for the total jacket sales to be at least $260? Explain your answer.

Answers

Answer: 71.43%
Step-by-step explanation:
$77___100%
$55___x=71.43%
$55*100/$77 = 71.43

I need help plz I don't understand this

Answers

Answer:

3 bird HAHAHAH sana makatulong

Answer:

From point A to point B is x= -7 y= -4

From point B to point C is x= 6 y=-5

Step-by-step explanation:

I think it's kinda hard to see

Answer the following questions for each geometric
series.
Infinite sum
S=a1/1-r,(for lrl <1)

10 + 1 + 0.1 +0.01 +...

Answers

Answer:

10

0.1

100/9,11.111

1500

Answer:

The sum of this series=11.11

Step-by-step explanation:Definition of geometric series  

A geometric series is the sum of an infinite number of terms with a constant ratio between them in mathematics.

Formula of infinite geometric sum

[tex]S=a1/1-r,(for lrl < 1)[/tex]

and given series

[tex]10 + 1 + 0.1 +0.01 +...[/tex]...

where

a=10 and r=0.1

by putting these values in above formula

[tex]S=10/(1-0.1)\\=11.11[/tex]

Hence the sum of given series= 11.11

For more to know click on given link

https://brainly.com/question/23198722

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HELP IS STUDY ISLAND I NEED THIS NOW

Answers

Answer:

i think A. 6 in

Step-by-step explanation:

because the lenght is diagram 3

What type of counting problem is this?

Johnny is a very picky eater, so he likes to use a lot of condiments. He has ketchup, salt, pepper, and shredded cheese at his disposal. His mother tells him he may only make two additions to his meal (i.e., he can add condiments only twice, regardless of whether or not he already used them). How many different ways can Johnny improve his meal?

Answers

The type of counting problem is combination with repetition.

What is combination ?

One of the several ways of choosing items from a large set of objects, without considering an order is termed as Combination.

As johnny  use a lot of condiments.

His mother tells him he may only make two additions to his meal.

He can add 2 condiments only twice, whether he already use them or not.

So, here we will use combination with repetition  because here same condiments can be added twice that is two times.

So, in how many different ways can johnny improve his meal can be determined by combination with repetition.

Learn more about combination here:

https://brainly.com/question/13387529

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Answer:

10

Step-by-step explanation:

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