Considering the equation for the volume of a cylinder, it is found that the correct statement is:
A. The volume of cylinder X is less than the volume of cylinder Y.
What is the volume of a cylinder?
The volume of a cylinder of radius r and height h is given by:
[tex]V = \pi r^2h[/tex]
In this problem, cylinder Y suffered an inclination, hence it's radius increased, having a higher volume than cylinder A, as they have the same height, hence option A is correct.
More can be learned about the volume of a cylinder at https://brainly.com/question/9408912
Answer:
It is answer B
Step-by-step explanation:
this is because of law of Cavalieri which states that if a shape has the same radius(or length and base) and same height, it has the same volume.
If y varies directly with x and y = 20 when x = 2,
write the equation that represents this direct variation
relationship
Enter your answer in equation form without spaces.
Example: y = ?x
Answer: its 20 x 2
Step-by-step explanation: hope it helps idk if it right but did my best..
Simplify √ 20 x 8 y 9 to the form a √ b .
Answer:
Juanita dissolves 46 g of MgBr2 (molar mass: 184.11 g/mol) in 0.5 kg of distilled water. What is the molality of the solution?
Draw line l and three points on l. How many segments are formed? Name all of them.
Answer:
In the picture attached, line l and the three points are shown. 3 segments are formed, namely, segments AB, BC and AC.
Step-by-step explanation:
A segment has two endpoints. With 3 points on the line, there are 3 segments, AB, BC and AC; each of them includes 2 points.
What is the solution to the system of linear equations?
2x + y= 5
5x+4y= 11
(3,-1)
(-5,9)
(2, -1)
(5.-7)
Answer:
(3, -1)
x is 3
y is -1
Step-by-step explanation:
Solving for x:
2x+y=5
Subtract y from both sides
2x= -y+5
Subtract 5 from both sides
2x-5= -y
Multiply both sides by 4
8x-20= -4y
5x+4y=11
Subtract 4y from both sides
5x= -4y+11
Subtract 11 from both sides
5x-11= -4y
Combine equations:
5x-11=8x-20
Subtract 5x from both sides
-11=3x-20
Add 20 to both sides
9=3x
3x=9
Divide both sides by 3
x=3
Solving for y:
2x+y=5
Subtract y from both sides
2x= -y+5
-y+5=2x
Multiply both sides by 5
-5y+25=10x
5x+4y=11
Subtract 4y from both sides
5x= -4y+11
-4y+11=5x
Multiply both sides by 2
-8y+22=10x
Combine equations:
-8y+22= -5y+25
Add 8y to both sides
22=3y+25
Divide both sides by 25
-3=3y
3y= -3
Divide both sides by 3
y= -1
Nichole bought a gift for her friend. She
placed the gift in a box with the length
of 10 inches, width of 5 inches, and
height of 2 inches. What is the surface
area of the box?
Answer:
10 by 5 =50
10 by 5=50
10 by 2=20
10 by 2=20
2 by 5=10
2 by 5=10
100+40+20=160
Light travels [tex]9.45*10^{15}[/tex] meters in a year. There are about [tex]3.15*10^{7}[/tex] seconds in a year. How far does light travel per second? Write your answer in scientific notation.
Answer:
300000000
Step-by-step explanation:
Take speed of light and divide it by the number of years and you should have your answer.
Find the vertex, focus, directrix, and focal width of the parabola.
x = 4y2
Does (3, 3) make the equation y = x true?
Answer:
yes
Step-by-step explanation:
Substitute the points into the equation
y =x
3=3
This is true so (3,3) is a solution
I don’t need you to explain just answer.
Answer:
[tex]\frac{2(3)+6^2}{6} =42/6=7[/tex]
Answer:
7
Step-by-step explanation:
plug in the values of the variables and use order of operations.
2·3+6^2/6
2·3+36/6
6+36/6
42/6
7
randy and sandy are brother and sister. Randy is three less than twice Sandy's age. Together, their ages equal twent-four. How old is Sandy?
Answer:
Sandy is 9 years old.
Step-by-step explanation:
R+S=24
R=2S-3
R=Randy, S=Sandy
Plug the value of R into the first equation.
2S-3+S=24
Now, simplify.
3S-3=24
Now, solve the equation for S. First add three to both sides.
3S=24+3=27
3S=27
Now divide both sides by 3.
S=9
Based on the information given, the age of Sandy will be 9 years.
The equation that can be used to solve the question will be:
R + S = 24 .... i
R = 2S - 3 ..... ii
Put equation ii into i
R + S = 24
2S - 3 + S = 24
3S = 24 + 3
3S = 27
S = 27/3
S = 9
Therefore, the age of Sandy will be 9 years.
Learn more about equations on:
https://brainly.com/question/13763238
Find the surface area and volume of a rectangular prism with the following dimensions: Length = 9 cm, Width = 5 cm, Height = 6 cm
Answer:Area=258cm square
Step-by-step explanation:
Length:9 cm
Width:5 cm
Height:6 cm
=A=2[wl+hl+hw]=2.[5.9+6.9+6.5]=258 cm square
What is the surface area of a sphere with radius 4?
O A. 120 units3
B. 167 units2
C. 327 units2
O D. 6410
Answer:
SA =64 pi units ^2
Step-by-step explanation:
The surface area of a sphere is given by
SA = 4 pi r^2
SA = 4 * pi * 4^2
SA =64 pi
SA =200.96
Prove that the following statements are false provide counter examples to disprove them: (1) If two angles have common vertex and their bisectors create one line, then these angles are vertical. (2) If the angle bisectors of two equal angles belong to the same line, then these angles are vertical.
Answer:
Examples to disprove them are as follows;
1) Angles of two different inscribed regular polygon in contact at their vertices
2) Angles on the opposite corners of a regular even sided polygon
Step-by-step explanation:
The statement to be disproved can be presented as follows;
1) ∠A and ∠B share a common vertex
2) The bisectors of ∠A and ∠B create one line then
∠A and ∠B are vertical, that is ∠A and ∠B are on the opposite sides of the point where two lines cross or ∠A = ∠B
Given that ∠A = Interior angle of a inscribed square = 90°
∠B = Interior angle of an inscribed equilateral triangle = 60°
Therefore the two circles can be arranged such that the line connecting the centers of both circles, are the bisectors of ∠A and ∠B
However, ∠A ≠ ∠B hence the two angles are not vertical QED
(2) The angles ∠A and ∠B where ∠A = ∠B are on the opposite corners of an even sided regular polygon are equal and their bisectors belong to the same line, however, it can be shown that ∠A and ∠B are not vertical.
What is the surface area of the cube below?
5 m
5 m
5 m
150 m 2
125 m 2
50 m 2
25 m 2
Answesr:
À
Step-by-step explanation:
A cube has faces of equal measurements so u multiply the area of one face with 6
(5×5)6=150
Answer:
150 m 2
A
Step-by-step explanation:
in a triangle, what is the 3rd angle measure if the other two angles are each 60
help asap pls like right nowww
Answer:
number 4 is D
Answer:
#4 is D
annnnnnnddddddddddddd............. I dont see the answers for number 5 ;(
1. At a leather shop, 50 leather jackets were sold in February. The shop keeper at the store wants to encourage the sales team to sell more leather jackets by giving all the sales team members a bonus if the number of leather jackets sold increases by 30% in March. How many leather jackets must the sales team sell in March to receive the bonus?
Answer:
65 shirts.
Step-by-step explanation:
50 is the amount of shirts sold in February.
30% increase=1.3
1.3(50)
65
They need to sell 65 shirts in March to get the bonus.
2 Points
For what values of x is the rational expression below undefined?
Check all that apply.
x-7
2x2 - 32
DA. 7
B. 4
D C.-7
OD. -2
0 E. -4
F. 2
Answer:
B and E
Step-by-step explanation:
Given the rational expression
[tex]\frac{x-7}{2x^2-32}[/tex] ← factorise the denominator
2x² - 32 ← take out a common factor of 2 from each term
= 2(x² - 16) ← (x² - 16) is a difference of squares
= 2(x - 4)(x + 4)
The expression can now be written as
[tex]\frac{x-7}{2(x-4)(x+4)}[/tex]
The denominator of the expression cannot be zero as this would make the expression undefined. Equating the denominator to zero and solving gives the values that x cannot be.
2(x - 4)(x + 4) = 0
Equate each factor to zero and solve for x
x - 4 = 0 ⇒ x = 4
x + 4 = 0 ⇒ x = - 4
These are the values of x that make the expression undefined.
x = 4 → B
x = - 4 → E
“Which expressions are equivalent to x + x + x + 2?”
Answer:
3x+2
Step-by-step explanation:
x+x+x=3x
Because there are three lots of x
You can’t add 2 to the x so 2 is going to be separate
Answer is
3x+2
So this isn’t a test I just want to make sure I’m writing this correctly.
I have written 2x-18=-2y+12
Then I added 18 is that correct so far.
Answer:
[tex]3[/tex]
Step-by-step explanation:
[tex]2x-18=-2y+12[/tex]
[tex]y=12[/tex]
[tex]2x-18=-2(12)+12[/tex]
[tex]2x-18=-24+12[/tex]
[tex]2x-18=-12[/tex]
[tex]2x-18+18=-12+18[/tex]
[tex]2x=6[/tex]
[tex]\frac{2x}{2} =\frac{6}{2}[/tex]
[tex]x=3[/tex]
Answer:
x = 3
Step-by-step explanation:
=> 2x-18 = -2y+12
Given that y = 12
Putting in the above equation to get the value of x
=> 2x-18 = -2(12)+12
=> 2x-18 = -24+12
=> 2x-18 = -12
Adding 18 to both sides
=> 2x = -12+18
=> 2x = 6
Dividing both sides by 2
=> x = 3
470 centimeters = _____ meters
Answer:
4.7 meters
Step-by-step explanation:
Hope this helps! : )
Answer:
4.7 meter
Step-by-step explanation:
( 5 x − 3 √ 6 ) ( 5 x + 3 √ 6 )
Answer:
b because look at the notes and study
Answer:
[tex]{25x}^{2} - 54[/tex]
Can you help me with this?
|a^2| if a<0
Answer:
|(-a)²| = | a² | = a²
Step-by-step explanation:
absolute value is always positive number as well as any number squared so sign is positive no matter what
x2+3x-4=0. Find a=, b=, and c=. thank you:)
Answer:
a=1 b=3 c=-4
Step-by-step explanation:
using almighty formular
a=1 b=3 c= - 4
What is the volume of the shed?
Answer:
38 m^3
Step-by-step explanation:
The shape of the shed is a prism.
volume = area of base * height
The base of the prism is the front face of the shed. The height of the prism is the 2 m distance between the front base and the back base.
area of base = area of rectangle + area of triangle
The front base consists of a rectangle with length 5 m and width 3 m and a triangle with base 5 m and height 1.6 m
area of base = LW + (1/2)bh
area of base = (5 m)(3 m) + (1/2)(5 m)(1.6 m)
area of base = 15 m^2 + 4 m^2
area of base = 19 m^2
height of prism = 2 m
volume = area of base * height
volume = 19 m^2 * 2 m
volume = 38 m^3
Solve this system of equations using the multiplication method. Please show all work to receive credit. 5x - 2y = 30 2x + 4y = 24
Answer:
its 4
Step-by-step explanation:
Half the sum of a number and 5
Please Help!!
What is the measure of angle AXB?
Answer:
Step-by-step explanation:
Two angles are supplementary when their sum is 180
∠AXB + ∠BXC = 180° {Supplementary angles}
8x + 10 + 2x - 20 = 180
Add the like terms
10x - 10 = 180
10x = 180 + 10
10x = 190
x = 190/10
x = 19°
∠AXB = 8x + 10
= 8 * 19 +10
= 152 + 10
∠AXB = 162
Answer:
180 degrees
Step-by-step explanation: the measure of angle AXB is ( a + a ) and the sum of the measured angles AXB and BXC = 180 , so a + ( a + a) = 180.
both these angles add up to be 180 degrees because they are both supplementary angles they both share the sides of x and b.
if it confuses you, just use a bit of repeated addition and multiplication
for example : 30 + 30 + 30 + 30 + 30 = 5 x 30 which equals to 150
because you add 30 , 5 times .
Determine whether the proportion is true or false. 6 miles / 30 quarts = 30 miles/ 15 quarts
Answer:
False
Step-by-step explanation:
6 miles / 30 quarts
Divide by 6
1 miles / 5 quarts
30 miles /15 quarts
Divide by 15
2 miles/1 quart
These are not the same so they are not proportional
Solve the equation.4[x+1/3]=20
Answer:
[tex]x=\frac{14}{3}[/tex]
Step-by-step explanation:
Open the brackets.
[tex]4x +\frac{4}{3}=20[/tex]
[tex]4x=\frac{56}{3}[/tex]
[tex]x=\frac{14}{3}[/tex]
Answer:
So first we need to divide both sides by four. The four on the left side will cancel out and the right side will become 5. Next we have
x+1/3=5
Now we need to subtract both sides by 1/3. The 1/3 will cancel out and the 5 will become 4 2/3.
All we will be left with is x
x = 4 2/3