Answer:
its 1/3 of the volume of a cyinder with the same base
Step-by-step explanation:
a pyramid has the same policy with prisms of the same base
Volume is a three-dimensional scalar quantity. If the radius and the height of a cone and a cylinder are the same, then the volume of the cylinder is thrice the volume of the cone.
What is volume?
A volume is a scalar number that expresses the amount of three-dimensional space enclosed by a closed surface.
Assume a cone and a cylinder such that the radius of the base of both the figures is r units, while the height of the cone and cylinder both is h units.
The volume of the cone with radius r units and height h units now can be written as,
Volume of the cone = (1/3) × π × r² × h units³
The volume of the cylinder with a radius of r units and the height of h units now can be written as,
Volume of the Cylinder = π × r² × h units³
Taking the ratio of the volume of the cone and the volume of the cylinder,
Volume of the cone/Volume of the cylinder = (1/3)πr²h units³ / πr²h units³
Volume of the cone/Volume of the cylinder = 1/3
Volume of the cylinder = 3 × Volume of the cone
Hence, if the radius and the height of a cone and a cylinder are the same, then the volume of the cylinder is thrice the volume of the cone.
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The price for gasoline is represented by the equation y = 3.69x, where 'y' represents the total price for 'x' gallons of gasoline. On a graph, the number of gallons is represented by the horizontal axis, and the total price is represented on the vertical axis. Determine whether each statement describes the graph of the equation. Select True or False for the following statement. The graph of the lines goes through the points (7.38, 2) and (11.07, 3).
Answer:true
Step-by-step explanation:
(n+8)+(n−12) =
what is the answer
Answer:
2n-4
Step-by-step explanation:
The value of n for the given condition is 2(n - 2).
What is simplification?To simplify means to make anything easier. In mathematics, simplifying an equation, fraction, or problem means taking it and making it simpler. Calculations and problem-solving techniques simplify the issue. By eliminating all common factors from the numerator and denominator and putting the fraction in its simplest/lowest form, we can simplify fractions.
Given equation
(n + 8) + (n − 12) =
n + 8 + n - 12
solving constant separately and variables separately,
2n - 4
the common factor of 2 and 4 is 2
2(n - 2)
Hence the simplified form of an equation is 2(n - 2).
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Find the equation of the straight line
that passes through (5, 6) and (5, −6).
9514 1404 393
Answer:
x = 5
Step-by-step explanation:
These points have the same x-coordinate, so are on the same vertical line:
x = 5
Alan spent $68 on fruit at the grocery store. He spent a total of $80 at the store. What percentage of the total did he spend on fruit?
Write this ratio as a fraction in simplest form without any units.
45 days to 5 weeks
Lila hired a chainsaw for a week.
Using the information below, work out how much Lila paid for the chainsaw.
Hire Fees
Monday to Friday - $37 a day
Saturday and Sunday - $42 a day
Answer:
296
Step-by-step explanation:
There are 5 days where the fee was $37 and 2 days where the fee was $42
so simply multiply the given values by the number of days used.
(37*5)+(42*2)
185+84
296
work out the equation of a line which has a gradient of -2 and passes through the point (1 ,7)
Answer:
Y=-2x+9
Step-by-step explanation:
The first thing is to know the formula which is Y÷x
Then... The line (1,7)use the coordinates Y and X so it will be as follows... Label 1 and 7 as x, y
So it will be Y-7÷X-1 = the gradient which is - 2
So multiply both sides by X-1
So it will be Y-7=2x+2 again be careful because a negative number multiplied by another negative will give you a positive sign
Remember Y-7....... Take 7 to the other side so it will be a positive...... Then work out the integers
What is the equation of the circle with center (16, - 12) and a radius of 5
Answer:
x^2+y^2-32x+24y+375=0
Step-by-step explanation:
Equation of circle with given centre (h,k) and radius=r is
(x-h)^2+(y-k)^2=r^2
Given centre are=(16, - 12) and radius= 5
So equation of circle=
(x-16)^2+(y- -12)^2=5^2
x^2-32x+256+y^2+24y+144=25
x^2+y^2-32x+24y+375=0
Answer
2x + 4y-31=123 what is the equation for x and then y
Answer:
i would say
y = ( 77 - x ) / 2
Step-by-step explanation:
2x + 4y = 123 + 31
2x +4y = 154
4y = 154 -2x
y = ( 154 - 2x ) / 4
y = ( 77 - x ) / 2
please actually look at the picture and do it correctly i need the correct answers i'll mark brainliest if you are correct
Answer:
12/14 to 18/w
Step-by-step explanation:
the w would equal 21 (incase you needed it) since the unit rate is 1.5
Answer:
w = 20
Step-by-step explanation:
What is 10.3% of 100?
Answer:
it is 10.3
Step-by-step explanation:
one number is nine more than another number, if the sum of the number is 65, find both numbers
Answer:
28 and 37
Step-by-step explanation:
Answer:
28 and 37
Step-by-step explanation:
This is very simple actually!
First subtract the 9:
65 - 9 = 56
Then divide by 2:
56 ÷ 2 = 28
28 is one of your answers. If we want to find the other one, then add back 9
28 + 9 = 37
That's it!
Hope this helped :)
Which translation takes y = | x + 2 | - 1 to y = | x | + 2 ?
Select one:
a. 2 units left, 3 units down
b. 2 units left, 3 units up
c. 2 units right, 3 units up
d. 2 units right, 3 units down
(Solve by graphing and determining the translation. Thanks in advance!)
Answer:
C
Step-by-step explanation:
y = | x + 2 | − 1 has a vertex at (-2, -1).
y = | x | + 2 has a vertex at (0, 2).
So the graph is translated 2 units right and 3 units up.
Yesterday, grace drove 41.5
miles. she used
1.25 gallons of gasoline.
What is the unit rate for miles per gallon?
Answer:
33.2 mpg
Step-by-step explanation:
-5x+2y=9
y=7x
I need help with in the next 10 minutes I will give brainiest!!!!!
Answer:
x = 1 and y = 7
Step-by-step explanation:
First, you substitute the y into the first equation
-5x+2(7x)=9
-5x+14x=9
9x=9
x=1
Then put the x into the equation to find y
This is if you substitute using the second equation
y=7(1)
y=7
Jasmine makes balloon animals at community events. In 240 minutes, she uses 144 balloons to make 48 animals. How many balloons are used for each animal?
Answer:
he uses 23 balloons for every 28 events.
Find the measure of each numbered angle
The measure of each numbered angles are ∠1 = 56°, ∠2 = 56° and ∠3 = 74°.
What is Angle?An angle for any figure is formed by two rays which joins at a common point called vertex or node.
Usually angles are measured in degrees or radians.
Consider triangle PMQ
The sum of the interior angles of a triangle is 180°.
∠MPQ + ∠QMP + ∠PQM = 180°
58° + 66° + ∠1 = 180°
∠1 = 180° - (58° + 66°)
∠1 = 180° - 124°
∠1 = 56°
Now, ∠1 and ∠2 are vertically opposite angles. Hence they are equal.
∠2 = 56°.
Again, for triangle NQO
∠2 + ∠3 + 50° = 180°
56° + ∠3 + 50° = 180°
∠3 = 180° - (50° + 56°)
∠3 = 180° - 106°
∠3 = 74°
Hence ∠1, ∠2 and ∠3 are 56°, 56° and 74° respectively.
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The equation of line CD is y = -2x - 2. Write an equation of a line parallel to line CD in slope-intercept form that contains point (4, 5).
y = -2x + 13
y=zx+7
y=x+3
y = -2x - 3
Answer:
y = -2x + 13
Step-by-step explanation:
Mitchell swims several times per week in a lake near his home. Last summer, the average water temperature was 20 degrees Celsius. This summer, the average water temperature was 21 degrees Celsius. What was the percent of increase in the temperature?
Answer:
5% increase
Step-by-step explanation:
last Summer was 20° , this Summer is 21° so is 1° more so the question is what is the increase 1° of 20
20° is to 100% as
1° is to ?%
cross multiply
?% *20 =1*100
divide by 20 both sides
?%= 100/20 = 5
The figures are similar. Find the missing length.Round to the nearest thousandth
Answer:
The missing x = 0.675 m
Step-by-step explanation:
In similar triangles, the corresponding sides are proportion (means their ratios are equal)
In the given figure
∵ The two triangles are similar
∴ Their corresponding sides are proportion
∵ The sides of lengths 1.8 m and x are corresponding sides
∵ The sides of lengths 8.0 m and 3.0 are corresponding sides
∴ [tex]\frac{1.8}{x}[/tex] = [tex]\frac{8.0}{3.0}[/tex]
→ By using cross multiplication
∴ x × 8.0 = 1.8 × 3.0
∴ 8x = 5.4
→ Divide both sides by 8
∵ [tex]\frac{8x}{8}[/tex] = [tex]\frac{5.4}{8}[/tex]
∴ x = 0.675
→ No rounding because there is no digit after the thousandth digit
∴ x = 0.675 m
An equilateral triangle with side lengths of 7 units is translated 3 units to the right. What is the length of one side of the triangle after the translation, in units? 3 units
Answer:
[tex]Sides= 7\ units[/tex]
Step-by-step explanation:
Given
[tex]Sides= 7\ units[/tex]
[tex]Translation = 3\ units[/tex] (to the right)
Required
Determine the length of one side after translation
It should be noted that when a shape, line, object is being translated by shifting its position, only the position of the shape, line or object changes not its length
This implies that, the length of the sides of the equilateral triangle remain unchanged.
Hence:
[tex]Sides= 7\ units[/tex]
Math question
Any complex fraction can be written as a ratio
True or False
Will give brainiest to first person to answer right
Answer:
I believe the answer is true, please let me know if I am wrong.
please help me fast
I give you 100 point
Answer:
a. 372
b. 708
c. 451
d. 805
e. 965
f. 620
Step-by-step explanation:
Order all of the decimals
from least to greatest 0.34, 0.4, 0.98, 0.97, 0.46,
0.309
Answer:
.309
.34
.4
.46
.97
.98
Step-by-step explanation:
Hope this helped. Do not be shy to give Brainlist.
Answer:
0.4, 0.309, 0.34, 0.46, 0.97, 0.98
Step-by-step explanation:
help me please i have 2 more after this
Answer:
poop
Step-by-step explanation:
asdasdasd
Answer:
114
Step-by-step explanation:
corresponding angles
congruent
We are two numbers
Our median is 3
Our minimum is 2, What numbers are we?
Answer:
2,4
Step-by-step explanation:
median=3
minimum is 2
first no. is 2
second no. is 4
Fifty minus two plus the quantity three divided by six
Answer:
48.5
Step-by-step explanation:
Please mark B R A I N L I E S T
which is Not equal to thr absolute value of -5?
Answer:
5
Step-by-step explanation:
Answer:
5
Step-by-step explanation:
The first four terms of a sequence are 16, 22, 28, 34, …
Which expression can be used to find the nth term of the sequence?
A) 6 + 10n
B)6 + 10(n - 1)
C)10 + 6(n - 1)
D)10 + 6n
Answer:
A.)
Step-by-step explanation:
I feel like it's A.) because the number sequence above continues to go on due to addition of 6 to each number. And now you are adding 6 to 10n because as stated before your supposed to add 6 to each number to get the answer in the sequence.
Hopefully I helped God bless !
Split 18 into the ratio 1:2
Answer:
6 : 12
Step-by-step explanation:
sum the parts of the ratio, 1 + 2 = 3 parts
Divide by 3 to find the value of one part of the ratio
18 ÷ 3 = 6 ← value of 1 part of the ratio, thus
2 parts = 2 × 6 = 12
1 : 2 = 6 : 12
The number 18 splitted into a ratio of 1 : 2 is 12 and 6.
What are ratio and proportion?A ratio is a comparison between two similar quantities in simplest form.
Proportions are of two types one is the direct proportion in which if one quantity is increased by a constant k the other quantity will also be increased by the same constant k and vice versa.
In the case of inverse proportion if one quantity is increased by a constant k the quantity will decrease by the same constant k and vice versa.
Slitting in the ratio 1 : 2 can be done in this manner,
{1/(1+2)]×18.
= (1/3)×18.
= 6.
And,
{2/(1+2)]×18.
(2/3)×18.
= 12.
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