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?
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
Find a formula for the nth term
of the arithmetic sequence.
First term 2.5
Common difference -0.2
An = [? ]n +
If a system of linear equations has an infinite number of solutions, what do you know about the graph of the system?
А. The lines intersect at one point.
В. The lines are parallel
C. The lines are the same line.
D. The lines cannot be graphed.
please answer fast! calculate the value of x. C is center of the circle. (attached image)
A cylindrical pipe is 25 ft long and has a volume of 900ft3 find it's approximate diameter to the nearest hundredth of a foot
Answer:
Diameter of the pipe ≈ 6.77 ft
Step-by-step explanation:
Volume of a cylinder = πr²h
Here, r = Radius of the cylindrical pipe
h = Length of the pipe
Volume of the pipe = 900 ft³
Length of the pipe = 25 ft
By substituting the given values in the formula,
900 = π(r)²(25)
r² = [tex]\frac{900}{25\pi}[/tex]
r = √11.459
r = 3.385
Diameter = 2(radius)
= 2(3.385)
= 6.77 ft
The diameter of the cylinderi is 6.77ft
Volume of a cylinderthe formula for calculating thevolume of a cylinder is given as
V = pi d²/4 × h
Given the following
V = 900ft³
h = 25ft
Substitute the given parameters
900 = 3.14 × d²/4 × 25
900 = 19.625d²
d² = 45.859
d = 6.77ft
Hence the diameter of the cylinderi is 6.77ft
learn more on cylinder here: https://brainly.com/question/23935577
HELPPPPP PLZ ITS 6TH GRADE MATH
20b−2b+3b+x
Answer:
21b+x
Step-by-step explanation:
Answer:21b+x
Step-by-step explanation:
i got u
Find the length of the missing side.
a= in
b= in
c= in
80
Step-by-step explanation:
you take the square root of 82 squared minus 18 squared
find the standard deviation of: 141, 116, 117, 135, 126, 121
Answer:
Please see photos for simplified result
Step-by-step explanation:
Ali, Ben and Cathy share an amount of money in the ratio 6 : 9 : 10 What fraction of the money does Ben get?
there are 6+9+10=25 equal parts, so Ben has 9/25 of the total.
How many ounces are in 1 pint?
One diagonal of the kite is three times as long as the other diagonal. If the area of the kite is 48 square meters, what is the length of each diagonal?
Given:
One diagonal of the kite is three times as long as the other diagonal.
The area of the kite is 48 square meters.
To find:
The length of each diagonal.
Solution:
We know that, the area of the kite is:
[tex]A=\dfrac{d_1d_2}{2}[/tex]
Where, [tex]d_1,d_2[/tex] are two diagonals of a kite.
It is given that, one diagonal of the kite is three times as long as the other diagonal.
Let [tex]d_1=3d_2[/tex]. Then the area of the kite is:
[tex]A=\dfrac{3d_2d_2}{2}[/tex]
[tex]A=\dfrac{3d_2^2}{2}[/tex]
The area of the kite is 48 square meters.
[tex]\dfrac{3d_2^2}{2}=48[/tex]
[tex]3d_2^2=2(48)[/tex]
[tex]d_2^2=\dfrac{96}{3}[/tex]
[tex]d_2^2=32[/tex]
Taking square root on both sides, we get
[tex]d_2=\sqrt{32}[/tex] [It is only positive because side length cannot be negative]
[tex]d_2=4\sqrt{2}[/tex]
Now,
[tex]d_1=3d_2[/tex]
[tex]d_1=3(4\sqrt{2})[/tex]
[tex]d_1=12\sqrt{2}[/tex]
Therefore, the diagonals of the kite are [tex]4\sqrt{2}[/tex] units and [tex]12\sqrt{2}[/tex] units.
He dimensions are tripled. The new surface area would be times larger than the original surface area.
Answer:
The new surface area would be 9 times larger than the original surface area.
Step-by-step explanation:
Here we do not know what was the original shape, but we will see that it does not matter.
Let's start with a square of side length L.
The original area of this square will be:
A = L^2
Now if each dimension is tripled, then all the sides of the square now will be equal to 3*L
Then the new area of the square is:
A' = (3*L)^2 = (3*L)*(3*L) = 9*L^2 = 9*A
So the new surface area is 9 times the original one.
Now, if the figure was a circle instead of a square?
For a circle of radius R, the area is:
A = pi*R^2
where pi = 3.14
Now if the dimensions of the circle are tripled, the new radius will be 3*R
Then the new area of the circle is:
A' = pi*(3*R)^2 = pi*9*R^2 = 9*(pi*R^2) = 9*A
Again, the new area is 9 times the original one.
If the figure is a triangle?
We know that for a triangle of base B and height H, the area is:
A = B*H/2
If we triple each measure, we will have a base 3*B and a height 3*H
Then the new area is:
A' = (3*B)*(3*H)/2 = (3*3)*(B*H/2) = 9*(B*H/2) = 9*A
Again, the new area is 9 times the original area.
So we can conclude that for any shape, the new area will be 9 times the original area.
Please help and also include an explanation so I know how you got the answer.
Answer:
x = 15
Step-by-step explanation:
We know that 4x° + 8x° make a straight angle of 180°.
4x° + 8x° = 180°
12x° = 180°
12x = 180
x = 180/12 = 15
Answer:
x=15
Step-by-step explanation:
I gotcha bro
The line C is straight and straight lines are 180°
so 180° = 4x + 8x = 12x ----> 180 = 12x ---> then divide both sides by 12
180/12 = 15 and 12x/12 = x
so 15 = x or x = 15
What is the ratio for sin A?
3/4
3/5
4/5
4/3
A gift box has dimensions of: 8 1 2 inches, 5 1 2 inches, and 2 1 2 inches, respectively. how many cubes with side lengths of 1 2 inches would be needed to fill the gift box?
Number of 1/2-inch cubes length-wise = 8 1/2 ÷ 1/2 = 17
Number of 1/2-inch cubes width-wise = 5 1/2 ÷ 1/2 = 11
Number of 1/2-inch cubes height-wise = 2 1/2 ÷ 1/2 = 5
Number of 1/2-inch cubes = 17 x 11 x 5 = 935
------------------------------------------------------------
Answer: 935 1/2-inch cubes are needed.
------------------------------------------------------------
Si tuvieras que formar un cuadrado de 196 baldosas cuadradas iguales, ¿Cuantas deberías poner en cada fila?
Answer:
Respuesta. entonces como respuesta deben colocarse 14 filas por 14 columnas de baldosas para que quede un cuadrado. SALUDOS!
¿Como resuelvo esta equación? Necesito ayuda.
2x·(1-x)= x-6
Answer:
x=-3/2 x=2
Step-by-step explanation:
2x(1-x)=x-6
2x-2x^2=x-6
subtract x from both sides
add 6 to both sides
x-2x^2+6=0
reorganize
-2x^2+x+6=0
factor
2x+3=0
x-2=0
solve both
2x+3=0
2x=-3
x=-3/2
now the other one
x-2=0
x=2
Sorry, I don't speak spanish.
Gary’s soccer team plays 12 games in a season. Each game is 45 minutes long. His older brother, Hector, plays the same number of games, but each of his games lasts twice as long. How many minutes does Hector’s team play each season? Write and solve equations.
Answer:
1080 minutes
Step-by-step explanation:
12x45: garys team
45x2=90 : hector's team
12x90=1080
A survey of 100 high school students provided this frequency table on how to show students to get to school
Answer:
4/10
Step-by-step explanation:
40 students drive
There are 100 students
40/100 = 4/10
Answer:
2/5
Step-by-step explanation:
Place the numbers 40 and 100 into the proportion. (Whole)(percents) ----------- (Part) what goes where?
Answer:
Step-by-step explanation:
Hard to tell how the question should read.
40/100 = 40%
The percentage is calculated by dividing the required value by the total value and multiplying by 100.
Proportion means writing in fraction form as numerator and denominator.
40/100 = 40%
The proportion of 40 and 100 is 40%.
What is a percentage?
The percentage is calculated by dividing the required value by the total value and multiplying by 100.
Example:
Required percentage value = a
total value = b
Percentage = a/b x 100
We have.
40 and 100.
Proportion means writing in fraction form as numerator and denominator.
So,
If we write 40/100 we get 40%.
This means 40 out of 100.
Thus,
40/100 = 40%
The proportion of 40 and 100 is 40%.
Learn more about percentages here:
https://brainly.com/question/11403063
#SPJ5
Is x+y is an algebraic expression?
1. Yes
2. No
3. Cannot be identified
4. None of these
I will mark the brainiest for the correct answer!!
What is the area of triangle ABC in the simplest terms?
Consider this right triangle determine whether each equation is correct. Select yes or no for each equation
Answer:
where is the question?
Step-by-step explanation:
I don't see anything If he then " consider this right triangle determine whether each equation is correct select yes or no for each equation"
CONGRUENT FIGURES
EACH SET OF SHAPES ARE CONGRUENT. FOR CACH SIDE OR
ANGLE LISTED BELOW CACH BLANK. WRITE THE
CORRESPONDING SIDE OR ANGLE TO CREATE YOUR CODE. Plz for the love of God help me this is so so over due
Answer:
p-o
u-t
e-l
s-d
r-w
b-z
a-n
Step-by-step explanation:
The table shows the height of water in a pool as it is being filled. A table showing Height of Water in a Pool with two columns and six rows. The first column, Time in minutes, has the entries, 2, 4, 6, 8, 10. The second column, Height in inches, has the entries, 8, 12, 16, 20, 24. The slope of the line through the points is 2. Which statement describes how the slope relates to the height of the water in the pool? The height of the water increases 2 inches per minute. The height of the water decreases 2 inches per minute. The height of the water was 2 inches before any water was added. The height of the water will be 2 inches when the pool is filled.
Help me please! I need to get this done to go outside :(
Answer:
98ft.
Step-by-step explanation:
Question is asking for the total square feet of laminate wood to cover the entire retail store. Add all the sides together to get your answer.
CAN SOMEONE PLZ HELP ME?? PLZ DO YOU KNOW ABOUT Coordinate Planes??!! plzzzzzz help
Answer:
Hey!
The X Value is 3, while the Y value is 6. In other words, it looks like this:
3, 6
Step-by-step explanation:
Hey!
The X Value is 3, while the Y value is 6. In other words, it looks like this:
3, 6
Answer:
(0.5,1.5)
Step-by-step explanation:
Huilan's age is two times Thomas's age. The sum of their ages is 21 . What is Thomas's age?
Answer:
Thomas age is 7
Step-by-step explanation:
X + 2x =21
3x=21
x=7
CAN SOMEONE PLEASE HELP ME I REALLY NEED HELP I HAVE TWO MINUTES LEFT!!
Answer:
d is the ans
Step-by-step explanation:
D is the answer
simplify the expression below. (x^25)^-5/(x^-3)^48