A bar of soap is shaped like a right rectangular prism. The base is a rectangle that is 12 centimeters by 2 centimeters. The height is 3 centimeters. A second bar of soap is shaped like a square pyramid with the same volume as the first bar of soap. Each side of the base of the pyramid is 6 centimeters in length. What is the height of the pyramid?​

Answers

Answer 1

Answer:

6 cm

Step-by-step explanation:

Volume of a Prism = base area x height =

Base area = length x width =  12 x 2 = 24 cm^2

Volume = 24 x 3 = 72 cm^3

Volume of a pyramid = 1/3( l x w x h)

72 = 1/3( 6x6 x h)

Multiply both sides of the equation by 3

216 = 36 x h

divide both sides by 36

h = 6


Related Questions

exponential function b^y=x can be expressed as

Answers

Answer:

[tex] {b}^{y} = x \\ x = {b}^{y} \\ log_{b}x = y[/tex]

As shown, several colored paper squares are placed in a bowl. One paper square is randomly selected. Is this a uniform or non-uniform probability model? Justify your reasoning. A) It is a uniform probability model because each color has an equal chance of being selected. B) It is a non-uniform probability model because each color has an equal chance of being selected. C) It is a uniform probability model because each color does not have an equal chance of being selected. D) It is a non-uniform probability model because each color does not have an equal chance of being selected.

Answers

Answer:

B it is a non-uniform probability model because each color has an equal chance of being selected

Step-by-step explanation:

Developing a uniform probability model by assigning equal probability to all. If we select one student at random from the ten, is that a uniform then student name or grade level or color of their shirt or shoe size or different that the probability model uniform is different so that means the model is a non-uniform

The square pyramid below represents a tent that Wayne is making. The sides of the tent will be covered in blue fabric, and the base of the tent will be covered in brown fabric. Find the surface area that will be covered in each color of fabric. Enter your answer in the boxes

Answers

Ta furie le Wola t in fatiguer

Find c. Round to the nearest tenth:

Answers

Answer:

c=56.3

Step-by-step explanation:

Sorry for the bad writing and diagram haha

54 can be divided with no remainder by which of the following numbers 2 3 4 5 6 9 10​
LINKS WILL BE REPORTED NOT HAVING IT

Answers

Answer:

6 and 9

Step-by-step explanation:

6 x 9 = 54

100 points / please help

A baker has three different recipes. Recipe A uses 3 cups of flour to make 12 rolls. Recipe B uses 5 cups of flour to make 24 rolls. Recipe C uses 11 cups of flour to make 48 rolls. Which recipe uses the most cups of flour per roll?

a) Recipe A
b) Recipe B
c) Recipe C
d) The ratios are all proportional

Answers

Answer:

Recipe A

Step-by-step explanation:

Hope this helped!!!

Answer:

[tex]{\huge\red{\fbox{{࿐αɴѕωєя࿐}}}}[/tex]

Recipe A:

Cups of flour used = 3

Rolls made = 12

Cups of flour per roll

[tex] = \frac{3}{12} \\ = \frac{1}{4} \\ = 0.25[/tex]

Recipe B:

Cups of flour used = 5

Rolls made = 24

Cups of flour per roll

[tex] \frac{5}{24} \\ = 0.20[/tex]

Recipe C:

Cups of flour used = 11

Rolls made = 48

Cups of flour per roll

[tex] \frac{11}{48} \\ = 0.22[/tex]

Now compare Recipe A, B & C.

[tex]0.25 > 0.22 > 0.20[/tex]

Recipe A > Recipe C > Recipe B.

✏ So, Recipe A used the most cups of flour per roll (option a).

ʰᵒᵖᵉ ⁱᵗ ʰᵉˡᵖˢ

[tex] \huge\blue{ \mid{ \underline{ \overline{ \tt ꧁❣ RainbowSalt2222 ࿐ }} \mid}}[/tex]

7. Giovanni made the design below for an art project. What is the area of the drawing? 13 in. 5 in. 4in.​

Answers

Answer:

75 in^2

Step-by-step explanation:

Given data

From the figure

We can see a rectangle and a triangle

The area of the rectangle is

Area= L*W

Area= 13*5

Area= 65 in^2

Area of the triangle

Area= 1/2b*h

Area= 1/2*4*5

Area= 2*5

Area= 10 in^2

Hence the area of the composite figure is

Area= 65+10

Area= 75 in^2

Don't worry it's not a virus just listen to it it's cool

Answers

Answer:

I dunno if i typed it wrong it says video unavailable.

Step-by-step explanation:

In the XY coordinate plane, the slope of a line is 4 and it passes through the point (1,3). Find the equation of a line that is perpendicular to the given line and intersects it at the given point.
A. y=4x-1
B. y=-4x+7
C. y=1/4x -1
D. y=4x+13/4
E. y=-1/4x+13/4

Answers

Answer:

E?

Step-by-step explanation:

I'm sorry of this answer is wrong

Angle E and angle H are supplementary. If angle E has a measure of 156 degrees, find the measure of angle H

Answers

Answer:

24 degrees

Step-by-step explanation:

Supplementary angles sum up to give 180°

E + H = 180°

156 + H = 180

H = 180 - 156

H = 24°

HELP I HAVE 5 MINUETS, DONT GUESS ITS NOT ADDING BTW

Answers

Answer:

63.554

Step-by-step explanation:

V=pir^2h

r=3.4/2

h=7

V=pi(1.7)^2(7)

=63.554

The image below is a kite. Find the value of x.

Answers

Answer:

x=55.5

Step-by-step explanation:

2x=111

Isolate x by dividing both sides by 111

x=55.5

help please find the x

Answers

Step-by-step explanation:

a)

Two of the three interior angles are known. Both are equal to 55°. This can be seen by looking closely at the picture. To find the third angle subtract the other two from 360°

[tex]360\textdegree-55\textdegree-55\textdegree=x[/tex]

b)

Do the same thing only afterward subtract the third angle from 180 to find the supplementary angle

[tex]360\textdegree-40\textdegree-28\textdegree=ans\textdegree\\180\textdegree-ans\textdegree=x[/tex]

***YOU WILL EARN 35 POINTS IF YOU ANSWER THIS ***

Answers

Answer:I’m not sure maybe the 2nd one!:))Mahelps a lot!!

Answer:

The answer is B. 10^3

What is the midpoint between (3,-1)and(7,-5)

Answers

it is (5,-3) hope that helps

Kira brought chocolate and vanilla cupcakes to school for her birthday. 80 students decided to take a cupcake, and 32 of them picked vanilla. What percentage of the students picked a vanilla cupcake?

Answers

Answer:

40%

Step-by-step explanation:

Percentage of students that picked a vanilla cupcake = (students that picked a vanilla cupcake / total number of students)x 100

(32 / 80) x 100 = 40%

Helps are really appreciated!!

Answers

Answer:

a) 58.24 square centimeters

b) 5cm

Step-by-step explanation:

a) Area of a parallelogram

The formula for the Area of a parallelogram = Base × Height

Height : 5.2cm

Base : 11.2cm

Area = 5.2 cm × 11.2cm

= 58.24 square centimeters

b) Volume of a cuboid

The formula for the Volume of a cuboid = Length × Width × Height

7cm = Width

3cm = Length

y = Height

Volume = 105cm³

We are to find y

Hence,

105cm³ = 7cm × 3cm × y

y = 105cm³/7cm × 3cm

y = 5cm

angle relationships. please help me. i will give you brainlist. if you are right though.

Answers

Step-by-step explanation:

12x+15+69= 180

12x = 96 X =8

x+137 + 50 = 180

x = - 7

80= 20x

x = 4

I need help I will give brainliest I promise

Answers

Answer:

1/4 is the answer

Step-by-step explanation:

First, we see that the total students is 20 & the students who got 6 or 7 is 5.

5/20 = 1/4

1/4 = 25%

I rly need help with #2-4 and #8-9 PLZZ

Answers

Answer:

2. sin=12\15 cos=9/15 tg=12/9

3. sin=3/v13 cos=2/v13 tg=3/2

4. sin=v15/4 cos=7/4 tg=v15/7

A gas container in the shape of a cone has a height of 12 inches and a maximum diameter of 8 inches. When the container is filled to three-quarters of its height, what is the volume of the gas in the container, to the nearest tenth of a cubic inch.

Answers

Answer:

150.9 cubic inches

Step-by-step explanation:

volume of he gas = volume of a cone x 3/4

Volume of a cone 1/3(nr^2h)

n = 22/7

r = radius  

h = height

the diameter is the straight line that passes through the centre of a circle and touches the two edges of the circle.

A radius is half of the diameter

8/2 = 4 inches

1/3 (22/7 x 4^2 x 12) = 201.142857 in^3

volume of the gas = 3/4 x 201.142857 in^3 = 150.9 in^3

the tenth is the first number after the decimal place. To convert to the nearest tenth, look at the number after the tenth (the hundredth). If the number is greater or equal to 5, add 1 to the tenth figure. If this is not the case, add zero

Combine like terms to determine which expression with 2 terms is equivalent to 5x + 16y + 8x + 2y.

Answers

Answer:

you look for the same variables with the same powers

y: 16y +8y = 24y

x: 8x - 7x = x

y^2: 2y^2

and sum it all together at the end

Step-by-step explanation:

A shirt is originally priced at
$
24.50
. The shirt goes on sale for
30
%
off the original price. How much money, to the nearest cent, does the shirt cost including
7
%
tax on the sale price?

Answers

Answer:

$18.35

Step-by-step explanati

Your Welcome

En una tienda de ropa vas a comprarte una pantalones que están de 150 a 90 euros y una camiseta de 40 a 24 ¿ tienen el mismo porcentaje de rebaja ?

Answers

Respuesta:

Sí, tienen el mismo descuento del 40%

Explicación paso a paso:

Dado :

PANTALÓN :

Precio inicial = 150

Precio con descuento = 90

Porcentaje de descuento en el precio:

(150 - 90) / 150 * 100%

60/150 * 100%

0,4 * 100

= 40%

CAMISA:

Precio inicial = 40

Precio con descuento = 24

Porcentaje de descuento en el precio:

(40-24) / 150 * 100%

16/40 * 100%

0,4 * 100

= 40%

Sí, tienen el mismo descuento del 40%

6.James is fencing his rectangular garden.The garden
has a side with 5meters and another side with 3 meters. What is the perimeter of the garden?​

Answers

Answer:

16 meters

Step-by-step explanation:

5+3+5+3= 16 meters

Please help. Will give brainliest.

Answers

Answer:

7.

radius [r]=3in

length of bold part of circle=(360-40°)/360×2πr

=8/9×2×π×3=16.755

8.

we have

x²-2=2-y²

x²+y²=4..........(1)

comparing above equation with

(x-h)²+(y-k)²=r²

we get

centre(h,k}=(0,0)

radius [r]=2 units

Explain how you will evaluate 4[ 3(62+1)] - 63

Answers

Answer:

693

Step-by-step explanation:

You can simply apply BODMAS(Bracket of Division Multiplication Addition Subtraction)

Here, the brackets come first

62+1=63

63*3=189

189*4=756

756-63=693

Answer:

720

Step-by-step explanation:

First you do the things inside the parenthesis which is 62 + 1 = 63

Which gives you this  -----> 4[ 3 x 63]-36

Then do the brackets (brackets are these btw "[ ]" )

After doing the brackets you should bet this 4 x 189 - 36

Then you do the multiplication -----> 756 - 36

756 - 36 = 720

Tom started a stamp collection with 32 stamps each week he added 8 to his collection. Rhea started with 102 stamps each week she gave away 6

Answers

Answer:

The total number of stamps that Tom collect at the end of X weeks is

[tex]32 + 8 * X[/tex]

Step-by-step explanation:

Complete question

Tom started a stamp collection with 32 stamps. Each week he added 8 stamps to his collection.

Rhea started her stamp collection with 102 stamps. Each week she gave away 6 stamps.

Write an equation to represent the number of stamps in Tom’s collection based on the  number of weeks he has been collecting stamps.

Solution

Let "X" be the number of weeks for which Tom collected the stamps

The number of stamps that Tom had at the time of starting the collection [tex]= 32[/tex]

It is given that he collects 8 stamps per week

So the total number of stamps that Tom collect at the end of X weeks is

[tex]32 + 8 * X[/tex]

can someone help with this

Answers

Answer:

14.0

Step-by-step explanation:

[tex] \cos(38) \: = \: \frac{11}{x} \\ x \cos(38) \: = \: 11 \\ x \: = \: \frac{11}{ \cos(38) } \\ x \: = \: \frac{11}{0.788} \\ x = 13.99 \\ x = 14.0[/tex]

Which is equivalent to 437
O A 7
B. 12
OC 16
OD. 64
E. 81

Answers

D 64 if this is right please give me brainlist
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