Answer:
height of cylinder = 4/3 h
Step-by-step explanation:
The solid has a cylinder surmounted with a cone .Therefore, the volume of the solid is the sum of the cone and the cylinder.
volume of the solid = volume of cylinder + volume of cone
volume of the solid = πr²h + 1/3πr²h
let
height of the cylinder = H
recall
the height of the cone = 2h
volume of the solid = πr²h + 1/3πr²h
3(1/3πr²2h) = πr²H + 1/3πr²2h
2πr²h = πr²H + 2/3 πr²h
πr²(2h) = πr²(H + 2/3 h)
divide both sides by πr²
2h = H + 2/3 h
2h - 2/3h = H
H = 6h - 2h/3
H = 4/3 h
height of cylinder = 4/3 h
I need to match each one to each other
Answer
speed : metres per second (a)
perimeter : meters (b)
volume : cubic centimetres (d)
area : square metres (c)
simplify 12a^7b^5/16a^2b^2
Answer:
[tex]\frac{12a^7b^5}{16a^2b^2}=\frac{3}{4} a^5b^3[/tex]
During the 2010 baseball season, the number of wins for three teams was three consecutive integers. Of these three teams, the first team had the most wins. The last team had the least wins. The total number of wins by these three teams was 252. How many wins did each team have in the 2010 season?
Answer: 83,84 and 85
Step-by-step explanation:
Let the number of win for the teams be x, x+1 and x+2 respectively. From the question, we are told that the total number of wins by these three teams was 252 for the 2010 season. Therefore,
x+x+1+x+2 = 252
3x+3 = 252
3x = 252 - 3
3x = 249
x = 249/3
x = 83
This means that the team with least wins has 83 while the second team has 84 and the team with most wins has 85.
Find the value of z and
simplify completely.
Answer:
z = 6√2 = 8.49
Step-by-step explanation:
In this question, we are to find the value of the length z.
Mathematically, using Pythagoras’s theorem we can do this.
The Pythagoras’ theorem states that the square of the length of the hypotenuse equals the sum of the length of the squares of the two other sides.
Kindly note that the hypotenuse is the side that faces the angle 90
These are the points needed to solve for z
Using Pythagoras,
z^2 = y^2 + 4^2
z^2 = y^2 + 16 •••••••(i)
x^2 + z^2 = 20^2
x^2 + z^2 = 400 •••••••••(ii)
z^2 + 16^2 = x^2. ••••••••(iii)
Substitute iii into ii
z^2 + 16^2 + z^2 = 400
2z^2 + 256 = 400
2z^2 = 400-256
2z^2 = 144
z^2 = 72
z = √(72)
z = 6√2
Answer:
4[tex]\sqrt{5}[/tex]
Step-by-step explanation:
PLZ HLP MEEEEEEEEE the A's in the Similar Postulate stand for _________.
Answer:
Angle
Step-by-step explanation:
The price of a gallon milk was $2.65 the price rose why dollars after the last hurricane then the price dropped $.15 and later Rosie came by five cents which expression represents the current price of milk
Answer:
p = y + 2.55
Step-by-step explanation:
I think your question is missed of key information, allow me to add in and hope it will fit the original one.
Please have a look at the attached photo.
The price of a gallon of milk was $2.65. The price rose y dollars after the last hurricane. Then the price dropped $0.15 and later rose again by $0.05. Which expression represents the current price of milk
My answer:
Let p is the price of milk
Given the information:
Stage 1: The price of a gallon milk was $2.65<=> p = 2.65
Stage 2: rose y dollar<=> p = 2.65 + y
Stage 3: price dropped $.15<=> p = 2.65 + y - 0.15
Stage 4: rose again by $0.05<=> p = 2.65 + y - 0.15 + 0.05
<=> p = y + 2.55
Hope it will find you well.
A family pays $8.00 to park at a concert. Tickets for the concert cost $13.50 per person. The family spent a total of $89.00 for parking fees and tickets to the concert. The situation can be modeled by the equation 89 = 13.5n + 8, where n represents the number of tickets purchased. How many concert tickets did the family purchase? Tickets=
Answer:
n=6
Step-by-step explanation:
13.5n + 8 = 89
13.5n = 89 - 8
13.5n = 81
13.5n/13.5 = 81/13.5
n = 6
I hope this helps
Answer:
n=6
Step-by-step explanation:
i did it on edg 2020
If (x - 3) represents the side of a cube, what is the
polynomial that represents its volume?
Answer:
x³ - 9x² + 27x - 27
Step-by-step explanation:
The volume (V) of a cube is calculated as
V = s³ ( s is the measure of the side ) , thus
V = (x - 3)³
= (x - 3)(x - 3)(x - 3) ← expand the second/ third factors using FOIL
= (x - 3)(x² - 6x + 9) ← distribute
= x³ - 6x² + 9x - 3x² + 18x - 27 ← collect like terms
= x³ - 9x² + 27x - 27
State the solution
5x-y=14 and x+3y=-10
Answer:
x = 2, y = - 4
Step-by-step explanation
5x-y=14
x+3y= - 10
x = - 10 - 3y
5(- 10 - 3y) - y = 14
- 50 - 15y - y = 14
-16y = 64
y = - 4
x = -10 - 3y = - 10 - 3*(- 4) = - 10 + 12 = 2
x = 2
plz hurry and answer i will give brainliest
what is 2*2+6/2*3
Answer:
This would equal 13.
2x2=4, 6/2=3, 3x3=9, 9+4=13
PLS HELP ME!!!! ASAP I WILL MARK BRAINLIEST!!!!!!
Answer:
(-3)^3 x^5
Step-by-step explanation:
x*x*x*x*x *(-3)*(-3)*(-3)
There are 5 x terms
x^5
There are 3 (-3) terms
(-3)^3
Multiply theses together
(-3)^3 x^5
The right answer is (-3)^3 x^5
please see the attached picture for full solution
hope it helps...
Good luck on your assignment..
A and B are two similar solids.
15 cm
10 cm
The volume of A is 400 cm.
十
工
Work out the volume of B.
Similarity - Area and Volume
View One Minute Version
Overview
Answer:
600cm3 the 3 is ment to be cubed
Step-by-step explanation:
Which graph represents an odd function? On a coordinate plane, a function has two curves. The first curve is in quadrants 2 and 3 and has a minimum value of (negative 1, negative 3). The curve intersects the x-axis at (negative 2, 0) and goes to (0, 0). The second curve is in quadrants 1 and 4 and has a minimum value of (1, negative 3). The curve starts at (0, 0) and intercepts the x-axis at (2, 0). On a coordinate plane, a curved line crosses the x-axis at (negative 4, 0), (0, 0), and (4, 0). On a coordinate plane, a v-shaped function opens up. The function goes through (0, 2), has a vertex at (2, 0), and goes through (5, 3). On a coordinate plane, a curve has a maximum point at (0.5, 1) and a minimum point at (2, 0). The curve goes through points (0, 0) and (3, 4).
Answer:
On a coordinate plane, a curved line crosses the x-axis at (negative 4, 0), (0, 0), and (4, 0)
Step-by-step explanation:
An odd function is symmetrical about the origin. It will satisfy the relation ...
f(-x) = -f(x)
Of the given points, the set that is symmetrical about the origin is found on the 3rd graph:
(-4, 0), (0, 0), (4, 0)
Answer:
B on edge
Step-by-step explanation:
took the test
Using the quadratic formula to solve 2x2 = 4x – 7, what are the values of x? 2 plus-or-minus StartRoot 10 EndRoot i 1 plus-or-minus StartRoot 10 EndRoot i StartFraction 2 plus-or-minus StartRoot 10 EndRoot i Over 2 EndFraction 1 plus-or-minus StartRoot 5 EndRoot i
Answer:
[tex]x = 1 +/- \frac{i\sqrt{10} }{2}[/tex]
Step-by-step explanation:
The equation given is:
[tex]2x^2 = 4x - 7\\\\2x^2 - 4x + 7 = 0[/tex]
Using quadratic formula:
[tex]x = \frac{-b +/- \sqrt{b^2 - 4ac} }{2a}[/tex]
From the question:
a = 2, b = -4, c = 7
Therefore:
[tex]x = \frac{4 +/- \sqrt{(-4)^2 - 4 * 2 * 7} }{2 * 2}\\\\x = \frac{4 +/- \sqrt{(16 - 56)} }{4}\\\\x = \frac{4 +/- \sqrt{-40} }{4}\\[/tex]
=> [tex]x = 1 +/- \frac{i\sqrt{10} }{2}[/tex]
The solution of given quadratic equation is given as [tex]x = 1 \pm i\dfrac{\sqrt{10}}{2}[/tex]
Given the quadratic equation:
[tex]2x^2 = 4x -7[/tex]
Formula for finding roots of quadratic equation [tex]ax^2 + bx + c = 0[/tex] is given by:
[tex]x = \dfrac{-b \pm \sqrt{b^2 - 4ac}}{2a} \\[/tex]
Here, we get a = 2, b = -4, and c = 7.
Thus, the roots can be found as:
[tex]x = \dfrac{4 \pm \sqrt{16 - 56}}{4} \\\\x = \dfrac{4 \pm \sqrt{-40}}{4} \\\\x = \dfrac{4 \pm 2i\sqrt{10}}{4} \\\\\\x = 1 \pm i\dfrac{\sqrt{10}}{2}[/tex]
Thus, the solution of the given quadratic equation is given as [tex]x = 1 \pm i\dfrac{\sqrt{10}}{2}[/tex].
Learn here more:
https://brainly.com/question/4366363
Can anyone help me solve this equation? 4b+11=39
A 350 m cable is attached to the top of the tower. The angle of elevation to the top of the tower is 60. How high is the tower in meters
Answer:
303
Step-by-step explanation:
sin 60 = x / 350
x = 350(sin60) = 303.1
How do I figure out how many combinations there are.
Answer:
multiplying and dividing
Step-by-step explanation:
How can a triangular prism have a greater volume than a rectangular prism?
Answer:
If the triangular prism is bigger than the rectangular prism, it will have a greater volume. There are also many other reasons listed below:
Possible reasons:
If the triangular prism is bigger than the rectangular prism, it will have a greater volumeThe rectangular prism could have less width than the triangular prismThe rectangular prism could have less depth than the triangular prismThe rectangular prism could have less length than the triangular prismPlease mark Brainliest if correct.
Sorry if it is not correct.
If you solve this, you are a critical thinker:
Mr. Smith had 4 daughters. Each daughter had 4 brothers. How many kids does Mr. Smith have?
Let's organize what the problem gives us:
Mr. Smith had 4 daughters.Each daughter had 4 brothers.We want to find how many kids Mr. Smith has.Step 2: WorkWe can already tell that the initial amount of kids Mr. Smith has before we factor in the brother count is equal to 4, for the 4 daughters that were stated as a given in the problem.
Now, the tricky part comes in the form of "each daughter had 4 brothers." Remember that within a family, everyone has the same siblings. It doesn't matter which family member's perspective you are looking from, but your siblings will always stay the same. We can show this with an example:
Suppose I had a family of 4 kids total. I had 2 daughters and 2 sons. Their names were Rose, Sakura, David, and Andrew. Rose would then have 3 siblings: Sakura, David, and Andrew. Sakura would also have 3 siblings: Rose, David, and Andrew, so on and so forth.
Applying this example and knowledge to our current problem, if Mr. Smith's daughters each had 4 brothers, then the total number of kids Mr. Smith has is 8 total kids (4 daughters + 4 sons) since each daughter's brother would be the same sibling.
This would be called double-counting if you counted that each daughter would have 4 different siblings, resulting in a false answer of 16 kids (4 daughters multiplied by 4 brothers for each daughter).
Answer∴ Mr. Smith has 8 kids.
___
Topic: Math
Unit: ?
In football seasons, a team gets 3 points for a win, 1 point for a draw and 0 points for a loss. In a particular season, a team played 34 games and lost 6 games. If the team had a total of 70 points at the end of the season, what is the difference between games won and games lost?
Answer:
The difference between games won and games lost is 15.
Step-by-step explanation:
Since the team played 34 games and lost 6, the number of games where they got points is 28, therefore the number of wins plus draws, must be equal to that:
[tex]win + draws = 28[/tex]
Since each win values 3 points, while each draw values 1 point, then the number of points earned is given by:
[tex]3*win + draws = 70\\[/tex]
We now have a system of equations, which we can solve.
[tex]win + draws = 28\\3*win + draws = 70\\[/tex]
Multiplying the first equation by -1:
[tex]-win- draws = -28\\3*win + draws = 70[/tex]
Adding both equations:
[tex]2*win = 42\\win = 21[/tex]
Since the team won 21 games and lost 6, the difference is 15.
what is the c value?
answer in x= form
In your own words what is a polygon
Answer:
A polygon is a plane figure with at least three straight sides and angles, and typically five or more.
Step-by-step explanation:
Solve for x. Assume that line which appear to be diameters are actual diameters.
Answer:
x = 8
Step-by-step explanation:
The angle above the 6x-8 = 180 -140 = 40
The angle on the opposite side is 40 degrees as well because they are vertical angles
6x-8 = 40 degrees
Add 8 to each side
6x= 48
Divide by 6
6x/6 = 48/6
x = 8
Hidaya runs each lap in 8 minutes. She will run less than 72 minutes today. What are the possible numbers of laps she will run today? Use n for the number of laps she will run today. Write your answer as an inequality solved for n.
Answer:
Step-by-step explanation:
n*8<72
:8 :8
n<72/8
n<9
n could be 1,2,3,4,5,6,7,8
Helpppp meeeeee plsssssss
Answer:
a)3⁴
b)7⁵
c)10²
d)5⁷
Step-by-step explanation:
a)3²×3² = 3^2+2=3⁴
b)7×7⁴=7¹×7⁴=7^1+4=7⁵
c)10⁹÷10⁷=10^9-7=10²
d)5⁸÷5=5⁸-5¹=5^8-1=5⁷
What is the midpoint of the segment shown below?
Answer:
(1, -3/2)
Step-by-step explanation:
The x coordinate is the same for both endpoints so the x coordinate for the midpoint is 1
The y coordinate for the midpoint is found by adding the two y coordinates and dividing by 2
(2+-5)/2 = -3/2
The midpoint is
(1, -3/2)
Answer:
The answer is D
Step-by-step explanation:
Which of the following statements is/are true regarding the figure above?
Check all that apply.
A. It is a one-dimensional object.
B. It is a line segment.
C. It is a zero-dimensional object.
D. It is a point.
What is d, the common difference, in the arithmetic sequence 100, 98, 96, 94, 92, ...?
-1
Ο 2
Ο Ο Ο Ο.
-2
Ο 100
Answer:
-2
Step-by-step explanation:
6x^3-x^2 +17 = 2x^2 + 47
Answer:
Solve the rational equation by combining expressions and isolating the variable x
.
x≈1.89393154
Step-by-step explanation:
please mark brainly
Select the correct answer.
What is the sum of
-6 4/5 and 6 4/5?
A. 12 4/5
B. 29/5
C. 0
D. -12 4/5
Answer:
0
Step-by-step explanation:
got it right on plato
Answer:
0
Step-by-step explanation:
hopes this helps may yall like and give me 5 stars
