Answer:
length times width times height
Step-by-step explanation:
The equation for the volume of the sphere is:
V(sphere) = (4/3)πr³
What is a cylinder?A cylinder is a 3-D figure that has a radius and a height.
The volume of a cylinder is given as πr²h.
Example:
The volume of a cup with a height of 5 cm and a radius of 2 cm is
Volume.
= 3.14 x 2 x 2 x 5
= 62.8 cm³
here,
We have,
If a sphere and a cylinder have the same radius and height, the volume of the cylinder is given by:
V(cylinder) = πr²h
where "r" is the radius of the cylinder, and "h" is the height of the cylinder.
If we know that the volume of the cylinder is 11 ft³, then we can write:
11 = πr²h
We can solve this equation for "h" to get:
h = 11 / (πr²)
Now, the volume of a sphere with radius "r" is given by:
V(sphere) = (4/3)πr³
Substituting the expression for "h" in terms of "r" into the volume formula for the cylinder, we get:
11 = πr²(11 / (πr²))
Simplifying this equation, we get:
11 = 11
This is an identity, which means that it is true for all values of "r".
Therefore, we can substitute any value of "r" into the formula for the volume of the sphere to get the volume of the sphere with the same radius as the cylinder.
Using the formula for the volume of a sphere, we get:
V(sphere) = (4/3)πr³
Thus,
The equation for the volume of the sphere is:
V(sphere) = (4/3)πr³
Learn more about cylinder here:
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rewrite as a simplified fraction what would it be
Answer:
37/45
Step-by-step explanation:
YEPPP THAT'S ITT DJJSJZJZK
Answer: The answer is 44/50 and the percentage is 88
Step-by-step explanation: Hope my answer helped you! Plz, mark my answer and Thank you!
Solve the equation below using a graphing
calculator/desmos. (3 points)
12. e* - In 2x = 3.7
I
Answer:
x = 0.05
x = 1.57
Step-by-step explanation:
The given equation is:
[tex]e^x-\ln 2x = 3.7[/tex]
Moving all terms to the left side:
[tex]e^x-\ln 2x - 3.7=0[/tex]
Now we define a function:
[tex]y=f(x)=e^x-\ln 2x - 3.7[/tex]
The solutions of the equation are the values of x such that y=0.
Since the function cannot be solved by algebraic methods, we use a graphing tool.
Those points where the graph crosses the x-axis are solutions of the equation.
Please refer to the graph in the figure below.
We can clearly identify there are two solutions at
x = 0.05
x = 1.57
Find the equation of the line passing
through the points (2, 4) and (3, 2).
y = [? ]X + [
Eter
which is equivalent to √3/√8 when denominator is "rationalized"?
Step-by-step explanation:
[tex]\dfrac{\sqrt3}{\sqrt8}=\dfrac{\sqrt3\cdot\sqrt2}{\sqrt8\cdot\sqrt2}=\dfrac{\sqrt{3\cdot2}}{\sqrt{8\cdot2}}=\dfrac{\sqrt6}{\sqrt{16}}=\dfrac{\sqrt6}{4}[/tex]
Used:[tex]\sqrt{ab}=\sqrt{a}\cdot\sqrt{b}\ \text{for}\ a\geq0\ \wedge\ b\geq0\\\\\sqrt{a}=b\iff b^2=a\ \text{for}\ a\geq0\ \wedge\ b\geq0\\\\\sqrt{16}=4\ \text{because}\ 4^2=16[/tex]
PLZ HELP!!!
Normal vision is called 20-20 vision. These numbers are actually a ratio—a comparison of the distance you can see to the distance a normal-sighted person can see. For example, a person with 20-30 vision can see from a distance of 20 feet what a person with 20-20 vision can see from a distance of 30 feet. Based on this knowledge, explain what the following numbers mean regarding vision.
a. 20-100
b. 20-40
A person with 20-40 vision can see up to 30 feet and a person with 20-100 vision can see up to 200 feet (No-one can see that far unless they are not human or unless they are a spirit.)
WILL GIVE BRAINLIEST FOR RIGHT ANSWER
What is the solution to this system of equations?
Answer:
A) (-2, 4)
Step-by-step explanation:
pls help this is due soon
Answer:
1/2^4
Step-by-step explanation:
PLEASE HELP :)))
Suppose 3 rooms cost $596 and 5 rooms cost $860. What is the total cost for the number of rooms
Answer: 596 + 860 = 1456
the
The shape of a garden is rectangular in the middle and semi circular
at the ends as shown in the diagram. Find the area and the perimeter
Т.
of this garden [Length of rectangle is
7m 20-(3.5 +3.59 metres).
1
DI
20 m
Answer:
[tex]Area = 129.5m^2[/tex]
[tex]Perimeter = 48m[/tex]
Step-by-step explanation:
Given
See attachment
Required
Determine the area and the perimeter of the garden
Calculating Area
First, we calculate the [tex]area\ of\ the\ rectangle[/tex]
[tex]A_1 = L * B[/tex]
Where:
[tex]L = 20-(3.5 +3.5)[/tex]
[tex]B = 7[/tex]
So:
[tex]A_1 = (20 - (3.5 + 3.5)) * 7[/tex]
[tex]A_1 = (20 - 7) * 7[/tex]
[tex]A_1 = 13 * 7[/tex]
[tex]A_1 = 91[/tex]
Next, we calculate the area of the two semi-circles.
Two semi-circles = One Circle
So:
[tex]A_2 = \pi r^2[/tex]
Where
[tex]r = \frac{7}{2}[/tex]
[tex]A_2 = \frac{22}{7} * (\frac{7}{2})^2[/tex]
[tex]A_2 = \frac{22}{7} * \frac{49}{4}[/tex]
[tex]A_2 = \frac{22}{1} * \frac{7}{4}[/tex]
[tex]A_2 = \frac{22*7}{4}[/tex]
[tex]A_2 = \frac{154}{4}[/tex]
[tex]A_2 = 38.5[/tex]
Area of the garden is
[tex]Area = A_1 + A_2[/tex]
[tex]Area = 91 + 38.5[/tex]
[tex]Area = 129.5m^2[/tex]
Calculating Perimeter
First, we calculate the perimeter of the rectangle
But in this case, we only consider the length because the widths have been covered by the semicircles
[tex]P_1 = 2 * L[/tex]
Where:
[tex]L = 20-(3.5 +3.5)[/tex]
So:
[tex]P_1 =2 * (20-(3.5 +3.5))[/tex]
[tex]P_1 =2 * (20-7)[/tex]
[tex]P_1 =2 * 13[/tex]
[tex]P_1 =26[/tex]
Next, we calculate the perimeter of the two semi-circles.
Two semi-circles = One Circle
So:
[tex]P_2 = 2\pi r[/tex]
Where
[tex]r = \frac{7}{2}[/tex]
[tex]P_2 = 2 * \frac{22}{7} * \frac{7}{2}[/tex]
[tex]P_2 = \frac{2 * 22 * 7}{7 * 2}[/tex]
[tex]P_2 = \frac{308}{14}[/tex]
[tex]P_2 = 22[/tex]
Perimeter of the garden is
[tex]Perimeter = P_1 + P_2[/tex]
[tex]Perimeter = 26 + 22[/tex]
[tex]Perimeter = 48m[/tex]
will give brainliest.
Which of the binomials below is a factor of this trinomial?
3x^2+16x+ 5
A- 3x-5
B. 3x-1
C. 3x+1
D. 3x+5
Answer:
option c
Step-by-step explanation:
The zeros of 3x+1
3x=-1
x=-⅓
plug in -⅓ into the trinomial. if it gives an answer of 0 then it's a factor
3(-⅓)²+16(-⅓)+5
=0
As shown in the figure below, Luis walks 40 m toward his truck. He notices he forgot his keys, so he returns
back to his house. His total travel time is 95 s.
40 m
40 m
What is Luis's average velocity over the 95 s period?
Answer:
Velocity = 0
Speed = 0.84
Step-by-step explanation:
Khan Academy
Luis's average velocity over the 95 sec period is 0 m/s.
Given that, Luis walks 40 m toward his truck. He notices he forgot his keys, so he returns back to his house.
What is the average velocity?Magnitude of average velocity is always less than or equal to the average speed because displacement is always smaller than or equal to distance.
Average Velocity = Total time / Total Displacement
It is a vector quantity and has units of m/s.
Here, total time = 95 sec and displacement = 0 meter
Now, average velocity = 95/0
= 0 m/s
Therefore, Luis's average velocity over the 95 sec period is 0 m/s.
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alice has 5 quarters and 2 nickels. how many cents does alice have?
Answer: $1.35 is the answer
Answer:
5 quarters is equal it 1$ and 25¢, 2 nickles is equal to 10¢, put these together and you get 1$ and 35¢ or 1.35$
Which statements are true regarding the diagram? Check all that apply.
1. ΔXYZ ≅ ΔLMN
2. ∠Y ≅ ∠M
3. ∠X ≅ ∠L
4. ∠Z ≅ ∠L
5. YZ ≅ ML
6. XZ ≅ LN
Answer:
1, 2, 3, 6
Step-by-step explanation:
I don't really know how to explain this but if the only change between the two triangles is that it was reflected, then there was no change of any of the angles or side lengths, you just have to make sure you match up the rights angles and the right sides.
Answer:
Hi how are you doing today Jasmine
Two triangles are congruent if
A. the pictures look the same
B. corresponding sides and corresponding angles are congruent
C. any two sides and any one angle are congruent
D. corresponding angles are congruent
Answer:
B is your answer
Step-by-step explanation:
factor -1/6 out of -1/3x + 5/6y
Answer:
[tex]\frac{-1}{6}[/tex] [tex](2x-5y)[/tex]
Step-by-step explanation:
Joshua’s soccer ball has a radius of 4.6 inches what is the volume of his soccer ball?
Answer:
407.7
Step-by-step explanation:
volume = (4/3) * π * r³
(4/3)*PI*4.6^3=407.7
PLEASE MARK BRAINLIEST IF THIS HELPED. THANK YOU
If 3x+2=7x then what is x
Answer:
take the x together
then
2=7x-3x
2=4x
2/4=x
2=x
2 is your ans
I hope it helps mate
I will always help you understanding your assingments
have a great day
#Captainpower:)
Here is a list of ages (years) of children in a room:
8, 8, 5, 1, 2, 5, 4
State the median.
Answer:
5
Step-by-step explanation:
The median is the middle number when they are put in order from smallest to largest
1,2,4,5,5,8,8
There are 7 number so the middle is between 4th number
1,2,4 ,5 ,5,8,8
The median is 5
[tex]\sf Answer: [/tex]
[tex]\sf 5 [/tex]
[tex]\sf Step-by-step~explanation: [/tex]
[tex]\sf List~the~numbers~in~order,~from~least~to~greatest. [/tex]
[tex]\sf 1 2 4 5 5 8 8 [/tex]
[tex][The~middle~number~is~5,~so~the~answer~is~going~to~be~5.[/tex] [tex]This~is~because~a~median~is~the~number~in~the~middle.[/tex] [tex]''~The~median~is~the~middle~number~in~a~sorted,~ascending~or~descending,~[/tex] [tex]list~of~numbers~and~can~be~more~descriptive~of~that~data~set~than~the~average~'' ][/tex]
I need help ASAP !!!!!
Answer:
you will get the football
Step-by-step explanation:
Match each interval with its corresponding average rate of change for q(x) = (x + 3)2. 1. -6 ≤ x ≤ 0 -1 2. -3 ≤ x ≤ -2 -3 3. -6 ≤ x ≤ -3 -4 4. -6 ≤ x ≤ -4 0 5. -4 ≤ x ≤ -3 3 6. -3 ≤ x ≤ 0 1
WHAT IS DIFFERENCE BETWEEN SQUARE AND RHOMBUS JUSTIFY YOUR ANSWER
Answer:A square and a rhombus both have sides equal in length. But square has all its angles equal to 90 degrees, but a rhombus only has its opposite angles equal.
Step-by-step explanation:
Answer:
A square has all its angles equal to 90 degrees a rhombus has no 90 degree angles
Write the value of 3 in the following number: 998.736I
Answer:
Hundreths 3 is in the hundreths
Step-by-step explanation:
What is the slope of the line?
Answer:
The slope is -3
Step-by-step explanation:
Answer:
slope is -3
Step-by-step explanation:
justin wants to buy shorts that cost $35 and some shirts that are on sale for $22 each. He has $95 to spend. Write an inequality to find the number of shirts he can buy
Using the given diagram, solve for x.
Simplify the expression. 3.7z to the power of 2+7.2+9z-1.2-2z+z to the power of 2.
Please help
Solve. Justify your responses.
Given:
AB║CD║EF
Prove: m∠1+m∠2+m∠3+m∠4=360°
Answer/Step-by-step explanation:
[tex] \overline{AB} \parallel \overline{CD} \parallel \overline{EF} [/tex] ----› Given
[tex] \angle 1 + \angle 2 = 180 [/tex] ----› consecutive interior angles are supplementary
[tex] \angle 3 + \angle 4 = 180 [/tex] ----› consecutive interior angles are supplementary
Therefore:
[tex] \angle 1 + \angle 2 + \angle 3 + \angle 4 = 360 [/tex]
15PTS PLEASE HELP ASAP!
(dont write random answers pls)
look at the pic attached:
Answer:
120
Step-by-step explanation:
a^2 + b^2 = c^2
48^2 + x^2 = 52^2
2304 + x^2 = 2704
x^2 = 2704-2304
x^2 = 400
x = 20
52 + 48 + 20 =
120
Am not sure what this answer is
Answer:
100 pieces
Step-by-step explanation:
11/220 = 5/x
1100=11x
x=100
Given: ABCD is a rhombus. Prove: △AEB is a right triangle.
Answer:
Step-by-step explanation:
∵ ABCD is a rhombus
∴ AC is ⊥ on BD
∴ ΔAEB is right angled triangle