which of the rectangular solids shown above has a volume closest to the volume of a right circular cylinder with radius 2 and height 4 ?
Answers
The volume of the rectangular solids that is similar to the volume of a right circular cylinder is rectangular solid E.
Which volume of the rectangular solids is similar to volume of a right circular cylinder?Cuboid A:
Volume of rectangular solid = length × width × height
= 3 × 3 × 3
= 27 cubic units
Cuboid B:
Volume of rectangular solid = length × width × height
= 3 × 3 × 4
= 36 cubic inches
Cuboid C:
Volume of rectangular solid = length × width × height
= 5 × 4 × 3
= 60 cubic inches
Cuboid D:
Volume of rectangular solid = length × width × height
= 4 × 4 × 4
= 64 cubic inches
Cuboid E:
Volume of rectangular solid = length × width × height
= 4 × 4 × 3
= 48 cubic inches
Right circular cylinder:
Radius, r = 2
Height, h = 4
Volume of right circular cylinder = πr²h
= 3.14 × 2² × 4
= 3.14 × 4 × 4
= 50.24 cubic units
Hence, rectangular solid E is similar to right circular cylinder.
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Related Questions
in what time will 64000 amount to 68921 at a rate of 5 % per annum comp half yearly
Answers
Answer:
Time = T half–years , Rate = 5 % per half year
2
Step-by-step explanation:
we know the formula:
A=P(1+r/n)^nt ,where A is the amount , P is the principle , r is the rate , n is the number of times the interest compounded per unit time
68921=64000（1+0.05/2)^2t
or,68921/64000=（41/40)^2t
or, （41/40)^3=（41/40)^2t
or 2t=3
or, t=3/2 years
Which of the following lists of ordered pairs is a function?
A. (1, 2), (1,-2), (3, 2), (3, 4)
B. (2, 4), (0, 2), (2, -4), (5,3)
c. (1,6), (2, 7), (4, 9), (0,5)
D. (0,2), (2,3), (0, -2), (4,1)
Answers
Answer:
Option C is correct.
Step-by-step explanation:
Function is a Relation from set A to Set B whose every element of set A has one and only one image in Set B.
Option A).
(0,2) , (2,3) , (0,-2) , (4,1)
here 0 has two image 2 and -2.
So, this is not function.
Option B).
(1,2) , (1,-2) , (3,2) , (3,4)
here 1 has two image 2 and -2.
So, this is not function.
Option C).
(1,6) , (2,7) , (4,9) , (0,5)
Here every element has only one image.
So, this is a function.
Option D).
(2,4) , (0,2) , (2,-4) , (5,3)
here 2 has two image 4 and -4.
So, this is not function.
Therefore, Option C is correct.
214
The number of bags of peanuts sold at the Kennedy Center from 1900 to 2004 can
be modeled by S = 4+2 + t - 3, where t is the number of years since 1900. How many
bags of peanuts were sold in 2000?
Answers
Answer:
s=13
Step-by-step explanation:
what reason explains why the m < Q=115
Answers
Answer:
both sids are equal
Step-by-step explanation:
Krishna buy some oranges at the rate of 10 for Rs 200 and an equal number at 12 for Rs 300 he mixes both oranges together and sell them at 15 for Rs 450 find his profit percentage or loss percentagel
Answers
Answer:
33 1/3% profit
Step-by-step explanation:
Suppose Krishna buys 60 oranges at each price. At the first price, Krishna pays ...
60·(Rs 200)/10 = Rs 1200
At the second price, Krishna pays ...
60·(Rs 300)/12 = Rs 1500
At the selling price, Krishna receives ...
120·(Rs 450)/15 = Rs 3600
__
Krishna has paid a total of 1200 +1500 = 2700 for the oranges, and sold them for 3600. His profit percentage is ...
(3600/2700 -1) × 100% = 33 1/3%
Tell whether the value is a solution of the inequality 5-x< 8;x= -3
Answers
Answer:
no
Step-by-step explanation:
there is no line under the less than sign so it is not equal to
The distribution of average wait times in drive-through restaurant lines in one town was approximately normal with mean \mu = 185μ=185mu, equals, 185 seconds and standard deviation \sigma = 11σ=11sigma, equals, 11 seconds. Amelia only likes to use the drive-through for restaurants where the average wait time is in the bottom 10\%10%10, percent for that town. What is the maximum average wait time for restaurants where Amelia likes to use the drive-through? Round to the nearest whole second. Choose 1 answer: Choose 1 answer: (Choice A) A 168168168 seconds (Choice B) B 170170170 seconds (Choice C) C 174174174 seconds (Choice D) D 176176176 seconds (Choice E, Checked) E 199199199 seconds
Answers
Answer: 170
Step-by-step explanation:
Find the measure of angle A
Answers
Answer:
50 degrees
Step-by-step explanation:
180=80+x+51+x+51
100=2x+102
-2=2x
x=-1
-1+51=50
During a school tournament, Team A had 10 of its 12 team members present.
Team B had 13 of its 15 players present.
Which team had the lesser percent of its team present at the tournament?
Answers
Answer:
Team A.
Step-by-step explanation:
We know that Team A had 10 of its 12 members present.
We can write this as the following fraction:
[tex]A=10/12[/tex]
We can convert this to a decimal by dividing the two numbers. Use a calculator:
[tex]A\approx.8333[/tex]
And we can convert this to a percent by moving the decimal too places to the right and by adding a percent sign:
[tex]A\approx83.33\%[/tex]
So, about 83.33% of members on Team A was present.
We know that Team B had 13 of its 15 members present.
We can write this as the following fraction:
[tex]B=13/15[/tex]
Again, we can convert this to a decimal by dividing the two numbers:
[tex]B\approx 0.8667[/tex]
Change this to a percent:
[tex]B\approx86.67\%[/tex]
So, Team A had a participation rate of 83.33% while Team B had a participation rate of 86.67%.
So, the team that had the lesser percent of the team present at the tournament is Team A.
And we're done!
If the measure of angle 5 is 120°, and the measure of angle 4 is represented by (4x +20)", what is the value X
Answers
Answer:
25°
Step-by-step explanation:
Since a is parallel to b, angle 4 = angle 5 since they are alternate angles
Therefore 120°=4x+20°
120°-20°=4x
100°=4x
x=25°
Dianna made several loaves of bread yesterday. Each loaf required 2 and two-thirds cups of flour. All together, she used 13 and one-third cups of flour. How many loaves did Dianna make?
3 loaves
4 loaves
5 loaves
7 loaves
Answers
Answer:
5
Step-by-step explanation:
Answer:
5
Step-by-step explanation:
correct on eduinity
What is 2/3 of 159,327?
Answers
Answer:
106,218
Step-by-step explanation:
159,327/3= 53,109·2
Answer:
2/3 of 159,327 = 106,218
Step-by-step explanation:
159,327 divided by two thirds is 106,218
A triangle has one angle that measures 5º more than twice the smallest angle, and the largest angle
measures 11° less than 3 times the measure of the smallest angle. Find the measures of the three angles.
Answers
Answer:
A = 82, B = 67 and C = 31
Step-by-step explanation:
Let the angles in the given triangle be;
A, B and C;
A is the largest angle and C is the smallest angle;
B = 5 + 2C ------ i
A = 3C - 11 ------ ii
A+ B + C = 180° ----- iii
Now, if we add equation i and ii;
A + B = 5+2C + 3C - 11
A+B = 5C - 6 ----- iv
Now insert equation iv into iii;
5C -6 + C = 180
6C = 180 + 6
6C = 186
C = 31
A = 3C - 11 = 3(31) - 11 = 93 - 11 = 82
B = 5 + 2C = 5 + 2(31) = 67
A = 82, B = 67 and C = 31
Ben drove 5.75 hours and then Jerry drove 3 hours their total distance is given by the expression below 106(5.75)+128(3)
Answers
Answer:
993.5
Step-by-step explanation:
106×5.75 +128×3
Please HELP!! 25 Points!! Brainliest Answer!
Ignore the one I clicked, I accidentally hit I
Answers
Answer:
87.5°
Step-by-step explanation:
So we know that the arc CD is 175°. This is the same thing as saying that the measure of the central angle, ∠CAD, is 175°. By the Inscribed angle theorem, we know that the measure of the inscribed angle, ∠DBC, is half of the measure of the central angle, ∠CAD. So:
m∠DBC = m∠CAD × 1/2
m∠DBC = 175/2
m∠DBC = 87.5
So the measure of ∠DBC would be 87.5°. Answer choice 2 would be correct.
I hope you find my answer and explanation to be helpful. Happy studying.
How many times greater is the value 0.55 than the value 0.0055?
Answers
Answer:
100
Step-by-step explanation:
Answer:
100 times greater
Step-by-step explanation:
Because the number 55 moves to the right.
Some values for two linear equations are shown in the tables. What is the solution to the system
of equations?
Equation 1 Equation 2
х
y
5
2
11
х
y
5
-31-13
0 -4
-4
-7
5
11
-1
-1
1
1
a
Oь
(5, 11)
(-1,1)
(3,5)
(2,3)
0
С
Od
Answers
Can you please help me with this
Answers
Answer: x= 19
Step-by-step explanation:
(8x-7)+(x+16)=180
Laura shades 60 squares on her hundredths grid And Billy shades 50 squares on his hundredths grid. Write the decimal number that represents by what Laura shaded write the decimal number represented by what billy shaded compare the numbers with either <,>,or=
Answers
Answer:
[tex]Laura = 0.60[/tex]
[tex]Billy = 0.50[/tex]
0.60 > 0.50
Step-by-step explanation:
Given
[tex]Laura = 60\ shades[/tex]
[tex]Billy = 50\ shades[/tex]
Required
Represent using decimal number and compare
From the question, we understand that there are 100th grids;
So:
[tex]Laura = \frac{60}{100}[/tex]
[tex]Laura = 0.60[/tex]
[tex]Billy = \frac{50}{100}[/tex]
[tex]Billy = 0.50[/tex]
Comparing both decimals;
Since 0.60 is greater than 0.50, we have:
0.60 > 0.50
This year Jose watched 80 movies. He thought that 12 of them were very good of the movies he watched, what percentage did he rate as very good?
Answers
Answer:
15%
Step-by-step explanation:
Jose thought 12/80 of the movies were very good.
To find the answer, we divide using 12/80.
12 divided by 80 is 0.15 which is 15%.
5) a/2+ 4 = 8 solve equation
Answers
what is the equation in slop-intercept form of the line that passes through the point (5,0) and is parallel to the line represented by 6x+3y=12
a: y=-2/3+7
b: y=6x-1
c: y=2x-2
d: y=-2x+10
Answers
d: y=-2x+10
Explanation:
There are a few concepts we need to understand when solving this problem. The first is what this form of a linear equation actually means: y=mx+b
Y=the y-coordinate
M=the slope
X=the x-coordinate
B=the y intercept (the point on h ty e line that crosses the y-axis)
This linear equation is called slope-intercept form.
The second thing we need to understand is that the equation 6x+3y=12 is organized into a different form of a linear equation: Ax+By=C. This is called the standard form of a linear equation.
A, B and C don’t mean anything that we can directly identify from a graph, which is why it’s best we reorganize this into slope-intercept form, where we can identify the slope and y intercept.
The last thing that we need to understand is that parallel lines have the same slopes.
Example: y=5x and y=5x+6 are parallel.
Knowing this, the first thing we should to is rearrange 6x+3y=12 into slope intercept form, and we do this by isolating y.
6x+3y=12
Subtract both sides by 6x
6x-6x+3y=-6x+12
3y=-6x+12
Divide both sides by 3
3y/3=(-6x+12)/3
y=-2x+4
From this equation, it is clear that -2 is in the position of m in y=mx+b, meaning that -2 is the slope of the given line.
Now, we can automatically rule out answer choices a, b and c since none of their slopes are -2, since parallel lines have the same slope.
I hope this helps!
PLEASE HELP!!!!!!! FOR A TEST
A shirt is on sale for 40% off. The sale price is $18.00. What is the original price of the shirt?
Answers
Explanation:
0.4 x 18.00= 7.20
7.20 + 18.00= 25.20
Answer:
Original sales price is $30
Step-by-step explanation:
[tex]x(1 - .4) = 18[/tex]
solve for x
[tex]x = \frac{18}{(1 - .4)} [/tex]
[tex]x = 30[/tex]
I need help with this question?
Answers
I hope this helps :)
A maximum can occur at the each of the following except
A.
an intersection of constraints.
B.
a vertex.
C.
a point outside the unbounded region.
D.
within the bounded region.
Answers
The maximum is the highest point in a graph.
A maximum cannot occur at (a) an intersection of constraints
The point of intersection of constraints, is simply the point where the lines or curves of more than one equationequations meet.
The maximum cannot occur at this point, because at least one of the functions that meet at that point would extend past the point of intersection.
However, other options may or may not be the maximum; but, they can possibly be the maximum point.
See attachment for illustration of maximum point
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Graph the line using a point and a slope. Write the equation of each line.
c)
a line that passes through the point (1, –1) and parallel to another line whose slope is 1.
Answers
Answer:
y = x - 2
Step-by-step explanation:
Parallel lines have the same slope, so the line will also have a slope of 1.
Plug in the slope and given point into y = mx + b to solve for b:
y = mx + b
-1 = 1(1) + b
-1 = 1 + b
-2 = b
Plug in b and the slope into y = mx + b
y = x - 2 is the equation
Answer:
So that the other person can get brainiest
Step-by-step explanation:
The perimeter of the rectangle is 24 feet. What is the width of the rectangle? Write an equation and solve
Answers
Replace 24 feet
24=2(l+w)
12=l+w
Since we don’t know what the length is, we can just say
12-L=W
The equation to solve the width of the rectangle is
24 = 2(length + width)
The width of the rectangle is 12 - x where x is the length of the rectangle.
What is a rectangle?A rectangle is a two-dimensional shape where the length and width are different.
The area of a rectangle is given as:
Area = Length x width
We have,
Length = x
Perimeter = 24 feet
The perimeter of the rectangle = 2( length + width)
Now,
24 = 2 (length + width)
12 = x + width
The width of the rectangle.
Width = 12 - x
Thus,
The width of the rectangle is 12 - x.
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Solve for x: 2(x-4) = 12
Answers
Answer:
x=10
Step-by-step explanation:
2(x-4)=12
2x-8=12
2x=20
x=10
Answer:
[tex]\huge{\boxed{\sf{10}}}[/tex]
Step-by-step explanation:
[tex]2(x - 4 ) = 12[/tex]
Distribute 2 through the parentheses
⇒[tex]2*x - 2*4 = 12\\[/tex]
⇒[tex]2x - 8 = 12\\[/tex]
Move 8 to right hand side and change its sign.
⇒[tex]2x=12+8[/tex]
Add the numbers: 12 and 8
⇒[tex]2x=20[/tex]
Divide both sides by 2
⇒[tex]\frac{2x}{2} = \frac{20}{2}[/tex]
⇒[tex]x = 10[/tex]
The value of x is 10.
Hope I helped!
Best regards! :D
~TheAnimeGirl
According to the graph, what would be the cost of one ticket?
Answers
Answer:
$35
Step-by-step explanation:
you take a point off the graph and divide the cost of tickets by the number of tickets.
Answer:
35
Step-by-step explanation:
10 tickets is 350
So 1 tickets is 35
17/3 (x - 3/2) = - 5/4
can you solve for x?
Answers
Answer:
[tex]\boxed{x =\dfrac{87}{68}}[/tex]
Step-by-step explanation:
[tex]\dfrac{17}{3} \left(x-\dfrac{3}{2} \right) = -\dfrac{5}{4}[/tex]
Using FOIL in LHS
[tex]\dfrac{17}{3}x - \dfrac{17}{3} \cdot \dfrac{3}{2} = -\dfrac{5}{4}[/tex]
[tex]\dfrac{17}{3}x - \dfrac{51}{6} = -\dfrac{5}{4}[/tex]
[tex]\dfrac{17}{3}x = -\dfrac{5}{4}+ \dfrac{51}{6}[/tex]
[tex]\dfrac{17}{3}x = -\dfrac{5(3)}{4(3)}+ \dfrac{51(2)}{6(2)}[/tex]
[tex]\dfrac{17}{3}x = -\dfrac{15}{12}+ \dfrac{102}{12}[/tex]
Now the denominator of the fractions in the RHS are the same
[tex]\dfrac{17}{3}x = \dfrac{87}{12}[/tex]
[tex]x = \dfrac{87}{12} \cdot \dfrac{3}{17}[/tex]
[tex]x =\dfrac{261}{204} = \dfrac{87}{68}[/tex]
[tex]\boxed{x =\dfrac{87}{68}}[/tex]
