Suppose there are n rectangular prisms stacked on top of each other in various ways to form one solid. Each has L=w and a height of h. Using cavaliers principle, what is the volume of the solid

Answers

Answer 1

Answer:

V = nl^2h or V = nw^2h

Step-by-step explanation:

The computation of the volume of the solid is given below:

Here the volume of the sold would be considered as the volume of 1  prism i.e. rectangular times n

Now as we know that

The volume of a rectangular prism is V is

lwh.

As L = w

Here cross section would become a square

So

V = l^2h

So,

The volume of the resulting solid would be

V = nl^2h or V = nw^2h


Related Questions

What is the solution set of the equation 3x^2=48?
1) {-2,-8}
2) {2,8}
3) {4,-4}
4) {4,4}

Answers

3) {4,-4}
Both those values make the equation true when plugged in for x

Find 32%of 425
I will give points and Mark as brainlist​

Answers

Answer:

answerrrrrrrrrrrrrrrrrrr is 136

Answer:

136

Step-by-step explanation:

its basically easy if you can get it ill help you if you need anything else just post ill help you out have a nice day.

I need help pls is is correct?

Answers

I think it’s C but I could be wrong

The price of a pair of jeans was reduced from $20 to $15. By what
percentage was the price of the jeans reduced? *

Answers

Answer: 25%

Explanation:
1. Turn it into a fraction (15/20)
2. Divide the numerator (15) by the denominator (20). (15÷20=0.75)
3. Subtract 0.75 from 1 (1-0.75=0.25)
4. Turn 0.25 into a percentage by taking away the “0.” and adding a “%” at the end (25%)

help please i don’t understand

Answers

Answer:

[tex]11 \geqslant 2x - 5 \\ 16 \geqslant 2x \\ 2x \leqslant 16 \\ \boxed{x \leqslant 8}[/tex]

Here is a linear equation: y = 10+ 1. Are (1,1.5) and (12, 4) solutions to the equation? Select the correct choice.​

Answers

Answer:

[see below]

Step-by-step explanation:

Assuming that the equation is y = 10x + 1

(12, 4)

4 = 10(12) + 1

4 = 120 + 1

4 ≠ 121

(12, 4) is not a solution.

(1, 1.5)

1.5 = 10(1) + 1

1.5 = 10 + 1

1.5 ≠ 1

They are not solutions to the equation.

Hope this helps.

Answer:

bath

Step-by-step explanation:

What is the following product?
31/7 (5-56-78
O 30.12-215
O 60 7-21 V5
O 30./3-21.6
O 60/3-21.6

Answers

Answer:

30.12-215

Step-by-step explanation:

We get the value  22.14 - 593.42 for the given expression 31/7(5-56-78)

What is Expression?

An expression is combination of variables, numbers and operators.

The given expression is 31/7(5-56-78)

Thirty one divided by seven times of five minus fifty six minus seventy eight

31/7(5-56-78)

31/7(5-134)

Thirty one by seven times of five minus one hundred thirty four.

31/7(5)-31/7(134)

155/7-4154/7

22.14 - 593.42

Hence, we get the expression 22.14 - 593.42 for the given expression 31/7(5-56-78)

To learn more on Expressions click:

https://brainly.com/question/14083225

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Click an item in the list or group of pictures at the bottom of the problem and, holding the button down, drag it int
correct position in the answer box. Release your mouse button when the item is place. If you change your mind,
the item to the trashcan. Click the trashcan to clear all your answers.
Solve the following problem for the roots by using the quadratic formula.
2(6 - x) = x(x + 5)

Answers

Answer:

The roots are [tex]x=\dfrac{-7+ \sqrt{97}}{2}\text{ and }x=\dfrac{-7- \sqrt{97}}{2}[/tex].

Step-by-step explanation:

Consider the provided equation.

[tex]2(6 - x) = x(x + 5)[/tex]

Remove the parenthesis and simplify.

[tex]12-2 x= x^2 + 5x[/tex]

[tex]x^2+7x-12=0[/tex]

Now use the quadratic formula [tex]x=\dfrac{-b\pm \sqrt{b^2-4ac}}{2a}[/tex].

Susbtitute a=1, b=7 and c=-12 in above formula.

[tex]x=\dfrac{-7\pm \sqrt{7^2-4(1)(-12)}}{2(1)}[/tex]

[tex]x=\dfrac{-7\pm \sqrt{49+48}}{2}[/tex]

[tex]x=\dfrac{-7\pm \sqrt{97}}{2}[/tex]

Hence, the roots are [tex]x=\dfrac{-7+ \sqrt{97}}{2}\text{ and }x=\dfrac{-7- \sqrt{97}}{2}[/tex].

Cindy decided to shop online. She was buying books ($6 each) and candles ($4 each). She bought 15 items and spent $78. How many books did she buy?

Answers

Answer:

9 books

Step-by-step explanation:

78=b(6)+c(4)

78=9(6)+6(4)

78=54+24

78=78-True

As per linear equation, Cindy bought 9 books online.

What is a linear equation?

"A linear equation is an equation in which the highest power of the variable is always 1. It is also known as a one-degree equation.

The standard form of a linear equation in one variable is of the form Ax + B = 0. Here, x is a variable, A is a coefficient and B is constant. The standard form of a linear equation in two variables is of the form Ax + By = C. Here, x and y are variables, A and B are coefficients and C is a constant."

Given, Cindy was buying books ($6 each) and candles ($4 each).

She bought 15 items and spent $78.

Let, she bought 'x' books.

Therefore, she bought (15 - x) candles.

Now, the cost of the total 15 items is

= $[6x + 4(15 - x)]

= $[6x + 60 - 4x]

= $[2x + 60]

Therefore, 2x + 60 = 78

⇒ 2x = 78 - 60

⇒ 2x = 18

⇒ x = 9

Therefore, Cindy bought 9 books.

Learn more about a linear equations here: https://brainly.com/question/11897796

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anyone else going through a hard time right now and if so why

Answers

Answer:

my school is starting from this tuesday,but i cant understand online classes. i really want physical class to start but it is not safe :(

Isaiah has $7.15 in Dimes and Nickels. He has a total of 91 coins. How many of each coin does he have? Group of answer choices dimes: 31 nickels 60 dimes: 60 nickels: 31 dimes: 52 nickels: 39 dimes: 39 nickels: 52

Answers

Answer:

Dimes = x = 52

Nickels = y = 39

Step-by-step explanation:

Let

Dimes = x

Nickels = y

x + y = 91 (1)

0.10x + 0.05y = 7.15 (2)

From (1)

x = 91 - y

Substitute x = 91 - y into (2)

0.10x + 0.05y = 7.15

0.10(91 - y) + 0.05y = 7.15

9.10 - 0.10y + 0.05y = 7.15

- 0.10y + 0.05y = 7.15 - 9.10

-0.05y = -1.95

y = -1.95 / 0.05

= 39

Substitute y = 39 into (1)

x + y = 91

x + 39 = 91

x = 91 - 39

x = 52

Dimes = x = 52

Nickels = y = 39

There are 10 meatball in the pan. Joey ate one-fifth of the meatball for lunch. He ate 1/2 for dinner. What fraction of the meatball did he eat in all?

Answers

7 meatballs in all or 7/10.

Enter a negative number that has an absolute value greater than -10.

Answers

Answer:

A number that has a greater absolute value then -10 is -15

Step-by-step explanation:

the absolute value basically means to make the negative number a positive.

-15 is the answer but it also have greater number either

Find the value of x in the figure below.

Answers

Answer:

x=45

Step-by-step explanation:

You should follow the formula:

3x+3x+x+x=360

8x=360

x=45

15 Points + Brainliest to first correct answer. Give an explanation. Fake answers will be reported and deleted. Thank you so much!

Which expression could be modeled using the diagram?
(Look Below)

A) 4 divided by 1/5

B) 4 divided by 4/5

C) 4/5 divided by 1/5

D) 1/5 divided by 4/5

Answers

Answer:

Im pretty sure its 4 divided by (4/5 wrong)

Step-by-step explanation:

Answer:

4/5 ÷ 1.5  (C)

Step-by-step explanation:

4 sections out of 5 are shaded, this represents 4/5

1 section not shaded represents 1/5

4/5 ÷ 1/5   is the same as 4/5 · 5/1  which equals 4 (the amount shaded)

Police chases a driver. The police is 1 mile behind the driver. The speed of the police is 90 mph, and the speed of the chased car is 85 mph. How long will it take for the police to catch up with the car?

Answers

Answer:

0.20 hour

Step-by-step explanation:

According to the problem, computation of the given data are as follows,

Speed of police = 90 mph

Speed of chased car = 85 mph

Distance to be chased = 1 mile

So, we can calculate the time to catch by using following formula:

Time required = Distance between two cars ÷ (Speed of Car A - Speed of Car B)

= 1 ÷ ( 90 - 85)

= 1 ÷ 5

= 0.20 hour

Identify the solution of each equation from the list given.
1. b + 8 = 14; 4, 5,6

2. 25- t = 15; 9, 10, 11


I need answers for both please I’ll give 50 points!!

Answers

Answer:

1.) The answer is b = 6

2.) The answer is t = 10

Step-by-step explanation:

For the first equation in order to fin out the answer we do.....

b + 8 = 14

b + 8 - 8 = 14 - 8

b = 6

For the second question we do....

25 - t = 15

25 - t + t = 15 + t

25 = 15 + t

25 - 15 = 15 + t -15

10 = t

(1) In a class of 50 students, 20% have black hair, 10% have blonde hair, and 70% has brown hair, calculate the number of students with the following hair colour;
(a) black hair
(b) blonde hair
(c) brown hair,

Answers

(50 / 10) x 2 = 10 students have black hair
(50 / 10) x 1 = 5 students have blonde hair
(50 / 10) x 7 = 35 students have brown hair

Answer:

10,5,35

Step-by-step explanation:

20% of 50=

0.2 x 50=

10

so 10 students have black hair

10% of 50=

0.1 x 50=

5

so 5 students have blonde hair

70% of 50=

0.7 x 50=

35

so 35 students have brown hair

Jared drew this rectangle. Then, he drew another rectangle that was twice as long but had the same width. In what way do the area and perimeter of Jared’s new rectangle change from the area and perimeter of the original rectangle?

Answers

Answer:

Step-by-step explanation:

one rectangle has the area, A₁=LxW and,

perimeter P₁=2L+2W

the second rectangle has the area A₂=2L x W,

and perimeter P₂=2(2L)x2W= 4Lx2W

the second area doubles compared to the first area

the perimeter gets increased with double the length

hi what is 3 divided by 5 times 6

Answers

Answer:

[tex]3 \frac{3}{5}[/tex] or [tex]\frac{18}{5}[/tex]

in decimal form it is 3.6

Step-by-step explanation:

6(3/5) = 6/1 times 3/5

= 18/5 or 3 3/5

Answer:

3/5 * 6 = 3.6

Find the slope of the line that passes through the two points below."
(7,-1) and (9,0)

Answers

Answer:

1/2 or 0.5 (same value, different form)

Step-by-step explanation:

Ok...since I can't actually graph it, we can make a table out of it....

x      y

7     -1

9      0

From -1 to 0, we add 1 (this is for the y section)

From 7 to 9, we add 2 (this is for the x section)

Now all we have to do is divide the y with the x

y/x = 1/2

The slope will be 1/2 (fraction form) 0.5 (decimal form)

Hope this helped!

Three ballet dancers are positioned on stage. Jada is 2 meters straight behind Trisha and 4 meters directly left of Ken. When the music begins, Jada twirls to Ken's position, then leaps to Trisha's position, and finally walks back to her original position. How far did Jada travel? If necessary, round to the nearest tenth.

Answers

Answer:

10.5 meters

Step-by-step explanation:

in their starting position all three dancers form a right triangle with legs equal to 2m and 4m.

Jada to Ken = 4m

From Ken's position to Trisha's, Jada goes another 2[tex]\sqrt{5}[/tex]m*

From Trisha's position to her original position, Jada goes another 2m

* to get this value: 2² + 4² = x²

x² = √20 = 2√5

A pie is made using 2 cups of sugar for every 3 cups of flour. Max knows he needs 15 cups of flour to make enough pies. How many cups of sugar does he need?

Answers

Answer: 10 cups of sugar

Step-by-step explanation:

Cups of sugar : Cups of flour

                    2 : 3

                    ? : 15

Cross multiply

3? = 15 × 2

3? = 30

Divide both sides by 3

? = 10

He needs 10 cups of sugar.

Find the indicated real nth root(s) of a.
n=4, a = 81
What are the 2 roots

Answers

Answer:

First one is 3 and I got no idea what the second one is.

Answer: 3, -3 (Don't mind this part, I am just taking up letter characters)

                                                                                                                                                                                                                                           

Nine less than 2/3 of a number is 11

Answers

Answer:

30

Step-by-step explanation:

let 'n' = a number

[tex]\frac{2n}{3}[/tex] - 9 = 11

2n = 20

3

cross-multiply:  2n = 60

                          n = 30

Please just help with all of this

Answers

1)Y=(-3)square -5
Y=4
2)-5(6)+8
-30+8= -22
3)-7+5=-2
4)3(3)-5=4
5)3(4)=81
6)-3-4=-7


im begging please please help me

Answers


For the month he needs 5classes*10dollars= 50dollars
50dollars from classes +salary per month which is 50dollars=100dollars

-6=b8 one and two step problems

Answers

Answer:

b = -3/4

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Equality Properties

Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtract Property of Equality

Step-by-step explanation:

Step 1: Define

-6 = b8

Step 2: Solve for b

Rewrite:                                 -6 = 8bDivide 8 on both sides:        -6/8 = bRewrite:                                 b = -6/8[Fraction] Simplify:                b = -3/4

Step 3: Check

Plug in b into the original equation to verify it's a solution.

Substitute in b:                     -6 = (-3/4)8Multiply:                                -6 = -24/4Divide:                                  -6 = -6

Here we see that -6 does indeed equal -6.

∴ b = -3/4 is the solution to the equation.

Pls HELPPP, BRAINLIEST for best and right answer

Answers

Answer:

i think the answer is 5

Step-by-step explanation:

the numbers that make it true is 4 6 and 7. just put the numbers in for r and if you put in 4 it would just be 10 which isn’t greater OR equal to 11

A ladder 50 dm long when set against the wall of a house just reaches a window at a height of 48 dm. How far is the lower end of the ladder from the base of the wall?

Answers

Answer:

14dm

Step-by-step explanation:

To solve this question we can use the Pythogorean theorem

a^2 + b^2 = c^2

In this case, The ladder is the hypotenuse, the height is one of the leg of the right angle triangle

Let's keep the missing side as x

If we apply the theorem,

x^2 + 48^2 = 50^2

x^2 + 2304 = 2500

x^2 = 2500 - 2304

x^2 = 196

[tex]x = \sqrt{196} \\ x = 14[/tex]

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