Answers
Answer:
[tex](\pi 4^2 (9))-(\pi 2^2 (9))[/tex]
and
[tex]339.292 cm^3[/tex]
Step-by-step explanation:
This question is simple once you break it down.
Let's concentrate on the outer cylinder.
First, find the volume of the outer cylinder.
The volume of a cylinder is expressed as: [tex]V = \pi r^2 h[/tex]
Gathering information from the diagram..
d = 8 cm
h = 9 cm
You can get the radius from the diameter by just dividing the diameter by 2.
[tex]r = \frac{8}{2}=4[/tex]
r = 4
Plug everything into the volume equation.
[tex]V = \pi 4^2 (9)[/tex]
Don't solve just yet!
Now, find the volume of the inner cylinder.
Do the exact same thing as you did for the outer cylinder.
d = 4 cm
h = 9 cm
[tex]r = \frac{4}{2}=2[/tex]
r = 2
Plug everything into the volume equation..
[tex]V = \pi 2^2 (9)[/tex]
The question asks for an expression to represent the volume of the large cylinder after the cylindrical hole is removed. This means you need to subtract the volume of the cylindrical hole from the volume for the large cylinder.
Again, the volume for the large cylinder is [tex]V = \pi 4^2 (9)[/tex] and the volume for the cylindrical hole is [tex]V = \pi 2^2 (9)[/tex]
This means..
[tex](\pi 4^2 (9))-(\pi 2^2 (9))[/tex]
That is your answer to the first part of the question.
For the second part, just solve.
[tex](\pi 4^2 (9))-(\pi 2^2 (9))[/tex]
[tex](\pi*16*9)-(\pi*4*9)[/tex]
[tex](\pi*144)-(\pi*36)[/tex]
[tex]144\pi-36\pi[/tex]
[tex]108\pi[/tex]
[tex]339.292[/tex]
Don't forget the units.
[tex]339.292 cm^3[/tex]
Hope this helped you!
Answer:
What ever the other guy said
Step-by-step explanation:
Related Questions
what is 5.589 x 10^6 writen in standard form
Answers
Answer:
5,589,000
Step-by-step explanation:
Help meeeee plz:)
1.) is -100 an integer
2.) is 17/5 an integer
3.)-44.74 and integer
4.) is -36/9 and integer
5.)12/4 and integer
Answers
Step-by-step explanation:
1) yes
2) no
3) no
4) no
5) no
integer is any number that is not in fraction form / has decimal places
If you like to venture further, feel free to check out my insta (learntionary). I'll be constantly posting math tips and notes! Thanks!
1.) is -100 an integer
2.) is 17/5 an integer
3.)-44.74 and integer
4.) is -36/9 and integer
5.)12/4 and integer
simplify: (12x+7)-(3x+4)
Answers
Answer:
12x+7-3x+4
you will group items.
12x-3x+7+4
9x+11
Write the equation in slope intercept form from the graph below
Answers
Answer:
y=[tex]-\frac{1}{3}[/tex]+2
Step-by-step explanation: m=slope, b= y-intercept
y=mx+b how to find the slope= [tex]\frac{3-0}{1-2}[/tex]
y=m(x)+b
1=m(3)+b
1=[tex]-\frac{1}{3}(3)[/tex]+2
helpp !!!
Rhombus ABCD has the following vertices:
• A(-8,11)
• B(-1, -13)
• C(14,7)
• D(7,31)
Is rhombus ABCD a square, and why?
Answers
Answer:
sorry i just need to ask question
Step-by-step explanation:
Answer:
No, because BC is not perpendicular to AB.
Step-by-step explanation:
The lines BC and AB are intersecting but not perpendicular.
A triangle with which angle types could be constructed?
A. two right angles
B. an obtuse angle and an acute angle
C. an obtuse angle and a right angle
D. two obtuse angles
Answers
Answer:
B is the answer.
Step-by-step explanation:
*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^
Triangles cannot have two 90 degrees because that would add up to 180 and triangles need 3 angles to add to 180
You can't have an obtuse angle and a right angle. say the obtuse angle was 110, and a right angle is 90. 110 + 90 is more than 180.
Two obtuse angles would be more than 180.
This leaves us with B being correct, because you can have an obtuse angle and an acute angle, and it can be less than 180 degrees.
*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^
#teamtrees #WAP (Water And Plant)
An obtuse angle and an acute angle
Will the answer to this expression be POSITIVE or NEGATIVE?
12 - 22
Answers
Answer:
the answer is -10
Step-by-step explanation:
the steps are in the picture
Answer:
The answer to this expression would be negative.
Step-by-step explanation:
-10
The cost of a vacation package is 249$ per person for the Smith family. If there are 6 family members, what is the total cost of the vacation package?
Answers
Answer:
$1,494
Step-by-step explanation:
the total cost multiplied by the number of family members
xoxo,your highness...Step-by-step explanation:
249 x 6 = 1,494
Answer: $1,494
When calculating interest accrued you should
Answers
The compound interest is given by the formula A = P ( 1 + r/n )ⁿᵇ
What is Compound Interest?Compound interest is interest based on the initial principle plus all prior periods' accumulated interest. The power of compound interest is the ability to generate "interest on interest." Interest can be added at any time, from continuously to daily to annually.
The formula for calculating Compound Interest is
A = P ( 1 + r/n )ⁿᵇ
where A = Final Amount
P = Principal
r = rate of interest
n = number of times interest is applied
b = number of time periods elapsed
Given data ,
Let the amount invested be represented as P
Now , the time period be b
Let the number of times the interest is applied be n
Let the rate of interest be represented as r
Now , the amount after b years is given by
A = P ( 1 + r/n )ⁿᵇ
And , when calculating interest ,
Interest I = Amount A - Principal P
Therefore , the value of I is = A - P
Hence , the compound interest is A = P ( 1 + r/n )ⁿᵇ
To learn more about compound interest click :
https://brainly.com/question/21270833
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Which step could be used to help isolate the variable in the following equation? 5.6j – 0.12 = 4 + 1.1j Subtract 0.12 from both sides. Subtract 5.6 from both sides. Subtract 4j from both sides. Subtract 1.1j from both sides
Answers
Answer:
would be D.
Step-by-step explanation:
Answer:
d
Step-by-step explanation:
can someone make my day and explain this to me
Answers
Answer:
Step-by-step explanation:
Remark
The first step is the critical one. Take the base and raise it to x. Then take the log of the base and the number whose log you need. x (the power)is brought down and the logs divided.
2^x = 1024
log 2^x = log(1024)
x log(2) = log(1024)
x * 0.30102 = 3.0102
x = 30102/0.30102
x = 10
You could use the e system to solve this as well
2^x = 1024
ln(2^x) = ln(1024)
x * ln(2) = ln(1024)
x 0.6931 = 6.9315
x = 6.9315/0.69315
x = 9.999959
x = 10
Item 5 Which list shows the absolute values in order from least to greatest? Select each correct answer. |−17.12| , |−17.08| , ∣∣17.06∣∣ ∣∣21.95∣∣ , |−22.02| , |−22.11| |−7.38| , ∣∣7.39∣∣ , |−7.41| |−3.07| , ∣∣−3.25∣∣ , |3.31|
Answers
Lets go over some stuff before we answer this absolute values make anything positive or make you count down from zero so then just imagine those numbers as positive.
ill put them as positives and then sort them here
3.07 3.25 3.31 |3.07 3.25 3.31 (Correct)
7.38, 7.39 , 7.41 | 7.38, 7.39 , 7.41 (Correct)
17.12, 17.08 17.06 | 17.06 ,17.08 ,17.12 (Wrong)
21.95 , 22.02 , 22.11 | 21.96 , 22.02 , 22.11 (Correct)
Answer:
|−17.12| , |−17.08| , ∣∣17.06∣wrong∣ ∣∣21.95∣∣ , |−22.02| , |−22.11| correct |−7.38| , ∣∣7.39∣∣ , |−7.41|correct |−3.07| , ∣∣−3.25∣∣ , |3.31|:correct
URGENT! WILL MARK BRANLIEST
Draw the shape made by slicing the CUBE (THINK: A CUBE HAS 6 SIDES THAT ARE THE SAME MEASURE) parallel to its bases.
A) Square
B) Rectangle
C) Trapezoid
D) Rhombus
Answers
Answer:
B. Ractangle
Step-by-step explanation:
Choose one answer is math
Answers
the answer is d which is x=.5x=-4
Does the table show a linear or nonlinear function?
Answers
Answer:
I don't see anything, but Linear has the word line in it. That means that it has to be a line. Non-Linear has the words no line in it. Hope this helps!
Step-by-step explanation:
Which of these is equal to 9 - 4?
Answers
Answer:
5
Step-by-step explanation:
...yeah
4 divided by 2/9 in fraction form( whoever sees this I hope you have a wonderful day! )
Answers
Answer:
4x9/2
4x9/2
36/2
18
UwU
18 is your answer
Will each student get more than or less than 1 cup of broth? Explain.
Answers
Answer:
1
Step-by-step explanation:
because every cup has to be equal and if is not then every cup will be less then a cup eather way it will be the same
which two perfect squares does 10 fall between
Answers
Answer: 9 and 16.
Step-by-step explanation: The two closets squares to 10 would be the square of 3 (9), and the square of 4 (16)
solve the equation by taking square roots
(x-3)^2 +8 = -10
Answers
Answer:
x = 3 ± 3i√2
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDASEquality PropertiesAlgebra I
Vertex Form: f(x) = a(bx - c)ⁿ + dCompleting the SquareSolving rootsAlgebra II
Imaginary Roots: √-1 = iStep-by-step explanation:
Step 1: Define equation
(x - 3)² + 8 = -10
Step 2: Solve for x
Subtract 8 on both sides: (x - 3)² = -18Square root both sides: x - 3 = ±√-18Factor: x - 3 = √-1 · ±√18Simplify: x - 3 = ±3i√2Add 3 to both sides: x = 3 ± 3i√2Identify the parent function that can be used to graph the function f(x) =4|x|-3
c. F(x) = x
b. F(x) = [x]
d. f(x) = |x|
Answers
Answer:
d
Step-by-step explanation:
f(x) = |x| will always be parent function unless told otherwise.
Is the answer right?
Answers
Answer:
yes I think...........
Which statements accuratley describe the function f(x)=3(16)^3/4x
Answers
Answer:
line
x-intercept | 0
f-intercept | 0
normal vector | (-3072/sqrt(9437185), 1/sqrt(9437185))≈(-1., 0.000325521)
slope | 3072
curvature | 0
Step-by-step explanation:
Find the measure of angle T. Show your work.
Answers
Answer:
Angle T = 39
Step-by-step explanation:
Triangle WXY is the same as triangle VTU
Therefore the angles are the same as well so because angle T and angle X are equal they both have the same value
Pamela is 8 years older than Jiri. The sum of their ages is 62. What is Jiri's age?
Answers
Answer:
dude how are you supposed to figure this out????
Jiri age is 23
Step-by-step explanation:
PLEASE HELPPP
ONG ILL GIVE YOU ALL MYPOINTS JUST HELP
Answers
Answer:
the answer is 13 :)
Step-by-step explanation:
plz help me on this due soon
Answers
Answer:
add 4.3x to both sides of the equation
Step-by-step explanation:
I NEED THIS ANSWER ASAP THIS IS WORTH A LOT OF POINTS PLEASE
Answers
Answer:
Step-by-step explanation:
the slope is 1/1
write the slope-intercept form of the equation
6x-3y-12=0
Answers
Answer:
y=2x-4
Step-by-step explanation:
there are 2 squares and 8 circles what is the simplest ratio of squares to total shapes