The volume of a cube is 216 in2. A rectangular prism has a length
and width the same as the cube. Its height is two inches longer
than its width. What is the volume of the rectangular prism?

Answers

Answer 1

Answer:

288 in3

Step-by-step explanation:

Volume of a cube is 216 in3, in cube, l=w=h so its' length, width, and height are equal to 6 in. Its' height is 2 inches longer than its width so it is equal to 8. 6 x 6 x 8 = 288 (in3)


Related Questions

which ones plsss help

Answers

they are not the same shape or size. hope this helps!
The answer is they are not the right shape and size

Find the distance between the points (4,0) and (0, 3).

Answers

Step-by-step explanation:

Given points are (4,0) and (0,3)

The distance between these two points =√(0-4)^2+(3-0)^2

=√16+9

=√25

=5 units

Answer:

(4,0) = ([tex]x_{1}[/tex],[tex]y_{1}[/tex])

(0,3)=([tex]x_{2} ,y_{2}[/tex])

distance between the points = [tex]\sqrt{(x_{1}-x_{2})^2 + (y_{1}-y_2 )^2 }[/tex]

distance=5

Step-by-step explanation:

What is the area of the shaded sector? (Round to the nearest tenth)
10
38

Answers

Answer:

33.1

Step-by-step explanation:

First you need to find the area of the circle. The radius is 10 which means that the area is 314. Since a circle has 360 degrees, and the shaded area is 38 degrees, you need to divide 314 by 360 which is 0.87. Then multiply by 38 because the shaded sector is 38. 0.87 x 38 = 33.1.

That is the answer.

96 plus what equals 180?

Answers

Answer:

Step-by-step explanation:

180-96

180-96 = 84

96 + 84 = 180

Answer:

84

Step-by-step explanation:

Let x equal how much 96 is plussed by to get 180.

96 + x = 180

Switch the equation to subtraction:

180 - 96 = 84

Now, let's check our work!:

96 + 84 = 180

Hope this helps!

Which of the following is the correct expanded form for the series below?


0 + 1 + 4 + 9 + 3
(0 + 3) +(1 + 3) + (4 + 3) + (9 + 3)
1 + 3 + 9 + 27 + 3
(0 +3) + (2 + 3) + (4 + 3) + (6 + 3)

Answers

Answer:

A) 0+1+4+9+3

Step-by-step explanation:

Could you help me with one of those two questions, please? Please

Answers

Answer

Step-by-step explanation:

Hope it helps you!

Which of the following expressions is equivalent to 13÷34?

Answers

Answer:

10 + (3 ÷ 24)

You're not showing me the options so I'm just picking a random expression that could possibly be equivalent.

24 points
what's the answer?
show full step
thanks

Answers

[tex]\huge{ \mathrm{  \underline{ Answer} \:  \:  ✓ }}[/tex]

[tex]\longrightarrow \huge{1}[/tex]

_____________________________

[tex]\mathrm{ ☠ \: TeeNForeveR \:☠ }[/tex]

Answer:

See below

Step-by-step explanation:

Given:

[tex]a = xy^{p-1}[/tex][tex]b = xy^{q-1}[/tex][tex]c = xy^{r-1}[/tex]

Solution:

[tex]a^{q-r}b^{r-p}c^{p-q} =[/tex][tex](xy^{p-1})^{q-r}(xy^{q-1})^{r-p}(xy^{r-1})^{p-q} =[/tex][tex]x^{q-r+r-p+p-q}y^{pq-q-pr+r+qr-r-pq+p+pr-p-qr+q} =[/tex][tex]x^0y^0 =[/tex]1*1 =1

B) Prove or disprove by example or by exhaustive checking that every integer greater than 1 is either prime or sum of two primes.

Answers

Answer:

Every integer greater than 1 is either prime or composite.

Step-by-step explanation:

Let us negate this statement.

Assumption - any number greater than 1, is neither prime nor composite.

A prime number has only 2 divisors, and a composite number has at least 3.

Let a number be X such that X >1.

Now X is divisible by 1 (Any integer is divisible by 1)

And X is divisible by X (X/X = 1, if X is not zero)

So by this, we see X has at least 2 divisors, X is either prime, or composite if it has more divisors!

So our assumption is wrong, and every integer greater than 1 is either prime or composite.

help please I need to know anwser​

Answers

Answer:

B

Step-by-step explanation:

B

• El comedor del piso piloto tiene un área de 0,6 dam2 . En él se pondrán dos sofás que ocuparán 2,5 m2 de área cada uno, seis sillas de 2.500 cm2 de área cada una y una mesa de 360 dm2 . ¿Cuántos metros cuadrados libres tendrá el comedor?

Answers

Answer:

Quedan libres 49.9 metros cuadrados en el comedor.

Step-by-step explanation:

Un decámetro cuadrado ([tex]dam^{2}[/tex], antiguamente [tex]Dm^{2}[/tex]) equivale a 100 metros cuadrados, un metro cuadrado ([tex]m^{2}[/tex]) equivale a 10000 centímetros cuadrados ([tex]cm^{2}[/tex]) y 100 decímetros cuadrados ([tex]dm^{2}[/tex]). El área libre del comedor se obtiene al sustraer las áreas cubiertas de los muebles del área total del comedor:

[tex]x = 0.6\,dam^{2}\times \frac{100\,m^{2}}{1\,dam^{2}}- 2\times 2.5\,m^{2} - 6\times 2500\,cm^{2}\times \frac{1\,m^{2}}{10000\,cm^{2}} - 360\,dm^{2}\times \frac{1\,m^{2}}{100\,dm^{2}}[/tex]

[tex]x = 49.9\,m^{2}[/tex]

Quedan libres 49.9 metros cuadrados en el comedor.

Triangle FCD is cut from parallelogram ABCD moved with left-hand side. What are the dimensions of the resulting triangle AEFD?

Answers

Answer:

The answer is below

Step-by-step explanation:

Triangle FCD is cut from parallelogram ABCD moved with left-hand side. What are the dimensions of the resulting rectangle AEFD?

A parallelogram is a quadrilateral (has four sides and four angles) in which opposite sides are parallel to each other.

A rectangle is a quadrilateral with opposite sides which are parallel and equal to each other. All the angles in a rectangle are at 90 degrees.

From the image, AD = z, FC = x, BF = w and BC = y. Hence:

EB = FC = x.

EF = AD = length = z; AE = FD = height = w

Therefore the dimensions of rectangle AEFD is length z and height w

I need help plssssssssssssssssssssssssssssssssss

Answers

Answer:

47.4005

Step-by-step explanation:

What is the value of x?

Answers

Answer:

,

Step-by-step explanation:

127 because an obtuse is 190 and you subtract that by the 63 190-63= 127

Stuart owns a window washing business. He can wash the windows on 9 houses in 4 hours. At this rate, how long would it take him to wash the windows on 45 houses? How many houses could he wash in 12 hours?

Answers

Answer:

20 Hours = 45 Houses

27 = 12 Hours

Step-by-step explanation:

The time taken to wash 45 houses is 20 hours and the number of houses in 12 hours is 27.

What is an expression?

The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

Given that Stuart owns a window-washing business. He can wash the windows on 9 houses in 4 hours.

The time taken to wash 45 houses is,

9 houses = 4 hours

1 house = 4 / 9 hours

45 houses = ( 45 x 4 ) / 9 hours

45 houses = 20 hours

The number of houses in 12 hours,

4 hours = 9 houses

1 hour = 9 / 4 houses

12 hours = ( 9 x 12 ) / 4 houses

12 hours = 27 houses

Therefore, the time taken to wash 45 houses is 20 hours and the number of houses in 12 hours is 27.

To know more about an expression follow

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If a triangle has sides length 3,4 and 5 which side is the hypotenuse

Answers

Answer:

Step-by-step explanation:

length 5 is hypotenuse because hypotenuse is the longest side.

HELP ME PLEASEEEEEEEEE

Answers

[tex](11 + x) \div 2 = 7 \\ 11 + x = 14 \\ x = 14 - 11 \\ x = 3[/tex]

[tex](4 + y) \div 2 = 5 \\ 4 + y = 10 \\ y = 10 - 4 \\ y = 6[/tex]

[tex](3,6) - option \: a[/tex]

Write the slope-intercept form of the equation of the line that passes thrqugh (-4, -3) and is
perpendicular to the graph of 2x - 3y = -5.

Answers

Answer:

Step-by-step explanation:

Equation of the line y = mx + c

The new line is perpendicular to 2x - 3y = -5

                                         - 3y = - 5 - 2x

                                           3y = 2x + 5

                                            y =[tex]\frac{2x}{3} + \frac{5}{3}[/tex]

Since the lines are perpendicular to each other : [tex]m_{1} . m_{2} = -1[/tex]

where [tex]m_{1} \ slope \ of \ the \ given \ line \ and \ m_{2} \ slope \ of \ the \ new \line\\[/tex].

Slope of the given line

                [tex]m_{1} = \frac{2}{3}[/tex]

Slope of the new line

                [tex]\\\frac{2}{3}.m_{2} = -1\\ m_{2} = -1 . \frac{3}{2} = \frac{-3}{2}[/tex]

The equation to the new line passing through (-4, -3) and perpendicular to 2x - 3y = -5

                            [tex](y - y_{1}) = m_{2}(x-x_{2} )\\\\(y - (-4)) = \frac{-3}{2}(x - (-3)) \\\\(y + 4) = \frac{-3}{2} (x+ 3)\\\\2(y +4) = -3(x+3)\\\\2y + 8 = -3x -9 \\\\2y = -3x - 9 -8\\\\y = \frac{-3x}{2} - \frac{17}{2}[/tex]

What is the surface area of the cube below? 8 8 O A. 512unit * s ^ 2 O B. 320unit * s ^ 2 O C. 384unit * s ^ 2 O D. 508unit * s ^ 2

Answers

Answer:

C

Step-by-step explanation:

Formula for Surface Area of cube :

6  x  [tex]a^{2}[/tex]

In our case, the edges are 8, meaning would we would subsuite a with 8 in the equation. We would do 6 x 64, since [tex]8^{2}[/tex] is 64. 6 x 64 is 384, hence our answer is 384.

The Surface Area of the cube is 384 unit².

What is surface Area?

Surface area is the amount of space covering the outside of a three-dimensional shape.

Given: the edge of the cube, l= 8 units

Surface area of the cube =  6*l²

                                           = 6*8*8

                                           = 6*64

                                          = 384 unit²

Hence, the surface area of the cube is 384 unit².

Learn more about surface area here:

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TRUE or FALSE
(a) In a scatterplot, the response is shown on the horizontal axis with the explanatory variable
on the vertical axis.
(b) If all of the data lie along a single line with nonzero slope, then the r
2 of the regression is
1. (Assume the values of the explanatory variable are not identical).
(c) If the correlation between the explanatory variable and the response is zero, then the slope
will also be zero.
(d) The use of a linear equation to describe the assocation between price and sales implies
that we expect equal differences in sales when comparing periods with prices $10 and $11
and periods with prices $20 and $21.
(e) The linear equation (estimated from a sequence of daily observerations):
Estimated shipments = b0 + 0.9*(Orders Processed) implies that we expect twice as many
shipments when the number of orders processed doubles only if b0 = 0.
(f) The intercept estimates how much the response changes on average with changes in the
predictor.

Answers

I'll do parts (a) through (c) to get you started

(a) False. The explanatory variable is always along the x axis, and the response variable is along the y axis. The response variable reacts to whatever the input explanatory variable is, hence the name "response".

---------

(b) True. If all data lie along a single straight line with nonzero slope, then either r = -1 or r = 1. If we have all data points on a line with some negative slope, then r = -1. If the regression slope is positive, then r = 1. Either way, it will lead to r^2 = 1 because (1)^2 = 1 and (-1)^2 = 1. In other words, there are two solutions to r^2 = 1 and they are r = -1 or r = 1. In the case of r = -1, we say the data has perfect negative linear correlation. With r = 1, the data has perfect positive linear correlation.

---------

(c) True. If r > 0, then we have some level of positive correlation which means the regression slope is positive in some way. If r < 0, then the regression slope is negative in some way. That must mean r = 0 leads to the regression slope having a flat horizontal line. This could mean one of two things: i) The points are all on or near the same curve such as a parabola, ii) The points are completely randomly scattered about. If case (i) happens, then it's better to use nonlinear regression instead of linear regression.

En la multiplicación monomio por monomio: 1. se multiplican los signos 2. se suman los coeficientes 3. se multiplican las variables
-Si o No

Answers

Answer:

no sabe

Step-by-step explanation:

yo no se

find the value of z plsss

Answers

Answer:

z=12x2

30x-24

x=y=30

z=12x2

Step-by-step explanation:

Answer:

I think z=12

Step-by-step explanation:

1/2=z/24

z=24/2

z=12

will give brainiest!!
Find the volume of the cone.
9 cm
r = 6 cm
V = [?] cm3
Round to the nearest tenth.

Answers

Volume of a cone is equal to pi * r^2 * h/3.

In this case:

pi * 6^2 * 9/3

pi * 36 * 3

108pi

Answer: 339.3

Answer: 339.292006588 or V ≈ 339.29

Step-by-step explanation:  Here is the formula that you need...

V = π [tex]r^{2}[/tex] [tex]\frac{h}{3}[/tex]

1. Multiply π (pi or approximately 3.14) by  [tex]6^{2}[/tex] (36).

2. Multiply your answer from the last step which is 113.097335529 by [tex]\frac{9}{3}[/tex] or 3.

3. Final Answer should be 339.29 for the nearest tenth.

V = π [tex]6^{2}[/tex] [tex]\frac{9}{3}[/tex] which gives you...

V = 339.29

I hope this helped you!!

jasmine left me so I have to improvise anyways
PLS HELP WILL GIVE BRAINLIEST

Answers

3 and 1/6

to check your work, if you do 2+1 you get 3. and to do 3 and 1/6 you must do 6 times 3 which is 18 and add 1 bc that is the numerator. so you get 19/6. 6 can go into 19 3 times giving you 18 which will then leave you with 1 making the answer to this question 3 and 1/6. 3 being for how many times 6 can go into 19. 1 being what is left of 19 after 6 fitting into 19 3 times. and 6 being the denominator.

A TV is priced at $475.25. There is a 7% sales tax rate. What is the sales tax for the TV in dollars and cents?

Answers

Answer:

$33.27

Step-by-step explanation:

The correct answer is 33.79 dollars

Please help me. I will be giving 50 points, brainliest, a friend request, 5 stars and a heart. Please give an explanation as well.

Answers

Answer:

Step-by-step explanation:

Let older brother age be x and the age difference between the brothers be y

Younger brother's current age = x - y

When older brother's age was at x - y, younger brother's age was x - 2y = 2

When young brother's age will be at x, older brother's age will be x + y = 20

Subtracting the first equation from the second: 3y = 18

y = 6

x = 14

So the older brother is 14 and the younger brother is 8.

Sum of three son's ages now = 15 + 11 + 7 = 33

Daddy's age now = 45

Age difference = 12

Each year, daddy's age goes up by 1 while the sum of three son's ages goes up by 3.

Dividing the age difference by the difference in age gain, 12 / (3 -1) = 12 / 2

= 6

So in 6  years when daddy is 51 and the sum of sons at 21, 17 and 13 will be equal.

Answer:

Step-by-step explanation:

older bro age is x

younger bro age is y

age diff = x - y

it was (x-y) years ago when older bro was at age y

younger bro age then was y - (x - y) =2

2y - x = 2

younger bro will be at age x in (x-y) years

older bro age then will be x + (x-y) = 20

2x - y = 20

4x - 2y = 40

adding 2y - x = 2

3x = 42

x = 14

y = 2*14 - 20 = 8

daddy' age, 45 is 12 over the sum of sons (15, 11 and 7)

in 1 yr, dad age +1 n sum of sons +3 = difference of 2

so in 12/2 = 6 yrs they will be the same

Please help me!!

Which of the following is the solution set for the equation |p−2|=7?
{ −5, 9}
{ −9, 9}
{ −5 }
{9}

Answers

Answer:

9the only correct answer is 9

Answer:

A

Step-by-step explanation:

p-2 ≥ 0

p ≥ 2

if p ≥ 2

p - 2 = 7

p = 9 (accettable)

if p < 2

-p+2 = 7

p = -5 (accettable)

PLSSS HELP GIVING BRAINLIEST
Peter cuts a foam block along the red line. When he looks at the newly exposed face, what is the shape of the cross-section? 5 cm 9 cm 7 cm O A. A rectangle, 7 cm by 5 cm OB. A rectangle, 9 cm by 7 cm O C. A square, 7 cm by 7 cm D. A rectangle, 9 cm by 5 cm​

Answers

Answer:A. A rectangle, 7cm by 5 cm

Step-by-step explanation:

Find the value of x that makes m∥n.

Lines m and n are parallel when x=

Answers

Answer:

39

Step-by-step explanation:

the total value of the angle needs to be 150 degrees 150+6=156/4=39 4(39)-6=150

Ten students participated in the 4 mile relay. Each student ran a fraction of the 4 miles. Chooses which line plot could represent the data of the runners. Explain your reasoning.

Answers

Answer:

B

Step-by-step explanation:

To know which line plot could represent the data, we take the sum of the miles covered by the runners and check if it adds up to 4 miles for each plot :

Plot 1 :

(1/12 * 1) + (1/8 * 2) + (1/6 * 1) + (1/4 * 2) + (1/3 * 1) + (1/2 * 3) = 2.8333

Plot 2 :

(1/6 * 2) + (1/4 * 2) + (1/3 * 2) + (1/2 * 3) + 1 = 3 +1 = 4 miles

Since the sum of the miles ran by the runners equals 4 miles for the second plot, hence, the second plot could represent the data for the runners.

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