Answer:
V = [tex]\frac{3.14r^3}{12}[/tex]
Step-by-step explanation:
Volume of Cone = [tex]\pi r^2 \frac{h}{3}[/tex]
But, Given that radius of cone = r/2 of the cylinder
And,
Height of cone = Radius of cylinder i.e. h = r
Putting this in the above formula.
=> V = [tex]\pi (\frac{r}{2} )^2 (\frac{r}{3})[/tex]
=> V = [tex](3.14)(\frac{r^2}{4} )(\frac{r}{3} )[/tex]
=> V = [tex]\frac{3.14r^3}{12}[/tex]
Answer:
(1/12) Pi r^3 option C on plato
Step-by-step explanation:
r = radius of the cylinder
V = (1/3)Pi c^2 h for a cone.
and c = r/2 and h = u
so Volume of the cone is (1/12) Pi r^3
simplify
[tex] \frac{3x - 12x {y}^{2} }{6 - 3y - 18 {y}^{2} } [/tex]
Answer:
[tex]\dfrac{2xy+x}{3y+2}[/tex]
Step-by-step explanation:
Factor numerator and denominator and cancel common factors.
[tex]\dfrac{3x-12xy^2}{6-3y-18y^2}=\dfrac{-3x(4y^2-1)}{-3(6y^2+y-2)}=\dfrac{x(2y-1)(2y+1)}{(2y-1)(3y+2)}\\\\=\boxed{\dfrac{2xy+x}{3y+2}}[/tex]
what are the soultions of 3(x-4) (2x-3)= 0 check all
Answer:
{3/2, 4}
Step-by-step explanation:
Set x - 4 = 0 and solve for x: x = 4 is a solution.
Seet 2x - 3 = 0 and solve for x: 3/2 is another solution.
Identify the center and radius of each. Then sketch the graph.
x^2 + y^2 =45
Answer:
centre: (0, 0)
radius: 3√5 ≈ 6.71
Step-by-step explanation:
The equation of a circle is denoted by:
[tex](x-x_1)^2 +(y-y_1)^2=r^2[/tex], where [tex](x_1,y_1)[/tex] is the centre and r is the radius
Here, we see that x1 and y1 are each 0, which means the centre is (0, 0).
We also see that r² = 45, which means the radius is r = √45 = 3√5 ≈ 6.71.
Therefore, we want to draw a circle with radius 6.71 and centre at (0, 0). See attached.
~ an aesthetics lover
What is the slope of the line? x+3y=10
Answer:
m = -1/3
Step-by-step explanation:
First, write the equation in slope-intercept form:
3y = 10 - x
y = 10/3 - x/3
y = 10/3 - 1/3x
Since our slope is the coefficient of the x term, our slope is -1/3.
Will give brainliest.
Answer:
x=8
Step-by-step explanation:
Those angles are supplementary so:
140+5x=180
5x=40
x=8
Find all the missing angle measures. Remember you cannot assume right angles of diameters. Also think about how many degrees are in a triangle. Given: PA and BD are tangents, mCR=18*, mAC=70*, mBE=130*, and mBR=80*. What are angles 1-15
.
this is answer ok? ok :) leleelellelelelelelelel
Which is equal to a rotation of 90°ccw?
A. 180°cw rotation about the origin
В. 270°cw rotation about the origin
C. 180ºccw rotation about the origin
D. 270ºccw rotation about the origin
Answer:
В. 270°cw rotation about the origin
Step-by-step explanation:
We can rotate a total of 360 degrees in a circular pattern.
If we rotate x degrees in one direction, this rotation is equivalent to rotating (360 - x) in the other direction, because we would arrive in the same place.
So if we rotate 90 degrees in the counter clockwise direction, this is equivalent to rotating (360 - 90) = 270 degrees in the opposite direction, that is, in the clockwise direction.
So the correct option is B. -> 270°cw rotation about the origin.
Geraldo is driving 504 miles to his grandparents’ house for the holidays. So far he has driven 21 miles in 20.3 minutes. If he continues to drive at this average rate of speed, estimate how long the entire trip will take.
Answer: about 5 hours and 3 min
Step-by-step explanation:
Answer:
about 8 hours and 7 minutes
Step-by-step explanation:
have 60 minutes divided by 20.3 minutes to find the correct ratio to find themph if the speed remained constant. It is about 2.95567 and using this number multiply to 21 to get the miles per hour. the speed is about 62.069 mph. then divide the 504 miles by the mph of the car to find how long it will take to get there. It is about 8 hours 7 minutes and 20 seconds give or take, or 8.12 hours.
Circle O has a circumference of approximately 250 pi ft.
What is the approximate length of the diameter, d?
O 40 ft
80 ft
0 125 ft
d
250 ft
Answer:
(D)250 ft
Step-by-step explanation:
Circumference of Circle O [tex]= 250\pi ft[/tex]
For a circle of diameter d, Circumference = [tex]\pi d[/tex]
Therefore:
[tex]\pi d = 250 \pi\\d \approx 250$ ft[/tex]
The approximate length of the diameter, d is 250 ft.
The correct option is D.
The number of squares that are required to fill a rectangle of 512 cm by 108 cm, if each square of length 8 cm is _____________. a. 838 b. 864 c. 752 d. 440
Answer:
864
Step-by-step explanation:
512÷8=64
108÷8=13.5
64×13.5=864
Answer:
b) 864 squares
Step-by-step explanation:
A(rectangle) = 512cm x 108cm = 55296 cm²
A(square) = 8cm x 8cm = 64 cm²
Ar/As = 55296cm²/64cm² = 864 squares
HELP IMA GIVE BRAINLY AND A LIKE
Answer: 18 animals
Step-by-step explanation:
3 out of 20 pet owners get their pet from a breeder.
To find how many animals have been bought from a breeder, you need to find 3/20 of the 122 animals.
3/20 = 0.15
122 * 0.15 = 18.3
18.3 rounds down to 18
There are 18 animals who have been bought from a breeder.
help me :( ill give u brainly! :)
Answer:
6.61387 stones
Step-by-step explanation:
Answer:
6.6 stones
Step-by-step explanation:
1 kg= 2.2 pounds
1 stone =14 pounds ⇒ 1 pound= 1/14 stone
42 kg= 42*2.2 pounds= 92.4 pounds
92.4 pounds = 92.4 * 1/14 stone= 6.6 stones
please help 100 points if correct ! :)
please actually answer
Instructions
Part 1: Celebration!
Think of an activity that you enjoy or are interested in. Some examples are reading, swimming, or leveling up your gaming character. Use your activity to work through the following problems:
Create a scenario that leads to an inequality of the form ax + b > c. You can use any of the inequality symbols (>, ≥, <, ≤) in your inequality. For this step, just write the word problem.
Write the inequality and show all work to solve the inequality.
Graph the solution to your inequality on a number line.
Explain what your solution means in the context of the problem.
Well for the activity we can do a game.
In a game you start with 50 coins and everytime you kill a monster "x" you get 2 more coins.You need 100 coins to level up.
We can make the following inequality,
2x + 50 ≥ 100
So to find x we single it out,
2x + 50 ≥ 100
-50 to both sides
2x ≥ 50
Divide 2 by both sides
x ≥ 25
For the number line look at the image below ↓
The solution in the number line is the number of monsters killed in order to level up.
Hope this helps :)
Which linear inequality is represented by the graph?
Answer:
B. y ≤ 1/2x + 3
Step-by-step explanation:
Well we can start by finding the y-intercept which is the point on the line that touches the y-axis in this case it’s 3.
And by looking at the shade it is facing down and the line is solid so the inequality starts with y ≤,
So we can cross out answer choices C. and D.
And the slope is 1/2 because that’s how far away each points are from each other.
So the inequality is y ≤ 1/2x + 3
Look at the image below.
Solve the equation below algebraically for the exact value of x. 6 − 23(x + 5) = 4x
Answer:
See below.
Step-by-step explanation:
6 - 23(x+5) = 4x
First, distribute.
6 - 23x - 115 = 4x
Reorder the terms.
6 - 115 - 23x = 4x
Subtract.
-109 -23x = 4x
Add 23x to both sides.
-109 = 27x
Divide by 27.
x = -109/27 (This cannot be simplified)
PLZ HELP! PLZ EXPLAIN
Answer:
H. 48
Step-by-step explanation:
Let p represent the number of coins Pamela has. Then 3p is the number Samantha has. After 6 days of adding coins, we have ...
2(p +3·6) = 3p +2·6
2p +36 = 3p +12
24 = p . . . . Pamela has 24 coins; Samantha has 72.
Now, we can find the number of days (d) before the coin count is the same.
24 +3d = 72 +2d . . . . coin counts are the same after d days
d = 48 . . . . . subtract 24+2d
In 48 days from now, Pamela and Samantha will have the same number of coins.
Find the fourth term in the sequence defined by the following recursive formula.
t1 = 5
tn = 3tn-1 - 12
1) -75
O 2 3
3) -3
4) -21
Answer
Part 1
Step-by-step explanation:
T2=3(5)-12=3
T3=-3
T4=-21
T5=-75
PLEASE HELP: ABCD is a parallelogram. If m DAB=105, then what is m BCD
Answer:
[tex]\boxed{105}[/tex]
Step-by-step explanation:
∠DAB = ∠BAC = 105 degrees
This is because opposite angles of a parallelogram are congruent.
Answer:
105
Step-by-step explanation:
∠DAB = ∠BAC = 105
Please sb help and write it down on paper then send a pic❤️
Answer:
Step-by-step explanation:
1) We would determine the cube root of 27 and find its square.
Cube root of 27 = 3
3² = 9
Solution = 9
2) 36³ = 46656
√36³ = √46656 = 216
3) we would find the 5th roof of - 243 and find its cube
5th root of - 243 = - 3
- 3³ = - 27
Solution = - 27
4) Looking at the expression, 40⅔, we can see that
a = 2
b = 3
c = 40
Answer: 1) We would determine the cube root of 27 and find its square.Cube root of 27 = 33² = 9Solution = 92) 36³ = 46656√36³ = √46656 = 2163) we would find the 5th roof of - 243 and find its cube5th root of - 243 = - 3- 3³ = - 27Solution = - 274) Looking at the expression, 40⅔, we can see that a = 2b = 3c = 40
Step-by-step explanation:
Complete the solution of the equation. Find the
value of y when x equals -19.
2x - 5y = -28
Enter the correct answer.
ODO
DONE
Clear all
Answer:
y = -2
Step-by-step explanation:
Put x as -19 and solve for y.
2(-19) - 5y = -28
Multiply.
-38 - 5y = -28
Add 38 on both sides of the equation.
-5y = -28 + 38
-5y = 10
Divide both sides by -5.
y = 10/-5
y = -2
Answer:
2x - 5y = -28
when x = - 19
Substitute the value of x into the equation
That's
2(-19) - 5y = -28
-38 - 5y = -28
-5y = -28 + 38
-5y = 10
Divide both sides by - 5
We get
y = 10/-5
y = -2
Hope this helps
If the smallest angle of rotation for a regular polygon is 10", how many sides does polygon have?
10
12
20
Answer:
Total number of side of regular polygon = 36
Step-by-step explanation:
Given:
Angle of rotation (regular polygon) = 10°
Find:
Total number of side of regular polygon
Computation:
Total number of side of regular polygon = 360° / Angle of rotation (regular polygon)
Total number of side of regular polygon = 360° / 10°
Total number of side of regular polygon = 36
For one month Siera calculated her home town’s average high temperature in degrees Fahrenheit. She wants to convert that temperature from degrees Fahrenheit to degrees Celsius using the function C of F = five-ninths (F minus 32) . What does C(F) represent?
Answer:
The answer is below
Step-by-step explanation:
A function shows relationship between variables usually between inputs (an independent variable) and outputs (a dependent variable).
C(F) = 5/9(F - 32) shows the relationship between C and F. C(F) is the temperature in degree Celsius for any temperature in Fahrenheit. This means that the function C(F) represents the conversion of temperature from Fahrenheit to degree Celsius.
During a sale, a shop allows 20% discount off the marked price of clothing. What will a customer pay for a dress with a marked price of $30? * 1 point
Answer:
$24
Step-by-step explanation:
Let the full price of $30 be 100%.
If the discount allowed is 20%, then the percentage of the original price that a customer will pay is:
[tex]P=100\%-20\%\\P=80\%[/tex]
80% of a marked price of $30 is:
[tex]80\%*\$30\\\$24[/tex]
A customer will pay $24.
quadratics helppp plzzzz
Answer:
x = -3 ± 2√2
Step-by-step explanation:
x² + 6x + 1 = 0
Let's solve by completing the square.
Add -1 and 9 on both sides.
x² + 6x + 9 = 8
Factor left side.
(x + 3)² = 8
Take square root on both sides.
x + 3 = ±√8
Add -3 to both sides.
x = -3 ± 2√2
Please help me ima give BRAINLIST
Answer:
53
Step-by-step explanation:
We know the first term and common difference so we can write the explicit formula. The formula is:
aₙ = a₁ + (n - 1)d
aₙ = 8 + (n - 1) * 3
aₙ = 3n + 5
This means that a₁₆ = 3 * 16 + 5 = 53
by using the formula for arithmetic sequence, the 16th term of the progression can be obtained. Given A1 = 8 and d = 3,
A16=A1 + (n-1) d
A16=8 + (16-1) (3)
A16 = 53
I hope I helped! Be safe!
Steve washed 15 cars in 3 hours. How many cars can he wash in 7 hours?
Answer:35 cars in 7 hours.
Step-by-step explanation:15/3=5 per hour. 5x7=35.
Answer:
35 cars in 7 hrs
Step-by-step explanation:
Steve's rate of work is (15 cars) / (3 hrs), or 5 cars/hr.
In 7 hrs he can wash
5 cars
---------- * 7 hrs = 35 cars in 7 hrs
hr
Please answer this question in two minutes
Answer:
FGH and BCD
it's obvious.
no common lines between them
4(13) + (18 4 27)
4(10) + 4(3) + (18 + 27)
40 - 12 + (+ 27)
Answer: Associative Property: (40+(12+18)+27. Evaluate: 97
Which graph describes the relation (3,1),(-2,1),(0,2),(-2,0)
Answer:
b
Step-by-step explanation:
Add polynomials: (3 – 4x + 8x2) + (–6 + 2x – 5x2)
Answer:
The sum of the polynomials in the equation is 3x² - 2x - 3
Step-by-step explanation:
(3 - 4x + 8x²) + (-6 + 2x - 5x²)
Distribute the positive sign to (-6 + 2x - 5x²). So all of these terms will stay the same and maintain their original signs.
3 - 4x + 8x² - 6 + 2x - 5x²
Combine like terms.
- 3 - 2x + 3x²
Now put the equation in standard form. This means that the exponential numbers will be ordered in descending order.
3x² - 2x - 3
Answer:
3x^2 -2x -3
Step-by-step explanation:
Combine like terms
3-4x+8x^2-6+2x-5x^2
Put the numbers that are squared in the front
8x^2 -5x^2 =3x^2
Put the numbers with x only next
-4x + 2x= -2x
Then the normal numbers
3-6=-3
Put them together in simplified form of the equation
Thus your answer is 3x^2 - 2x -3
Hope this helps please mark brainliest!