If the volume of a cone with the same height as a cylinder equals the volume of the cylinder, the equation for the radius of cone Rin terms of the radius of cylinder r is:
Answers
Answer: R = √(3*r^2)
Step-by-step explanation:
For a cylinder with radius r and height H, the volume is:
V = pi*r^2*H
For a cone of height H, and with a base of radius R, the volume is:
V = (1/3)*pi*R^2*H
In this case, we know that both figures have the same height, and the same volume, then we can write:
pi*r^2*H = (1/3)*pi*R^2*H
Now we can divide by pi in both sides to get:
(pi*r^2*H)/pi = ((1/3)*pi*R^2*H)/pi
r^2*H = (1/3)*R^2*H
Now we can divide both sides by H:
(r^2*H)/H = ((1/3)*R^2*H)/H
r^2 = (1/3)*R^2
Now we want to write R in terms of r.
Then we need to isolate R in the above equation:
r^2 = (1/3)*R^2
3*r^2 = R^2
√(3*r^2) = R
R = √(3*r^2)
Related Questions
30 %of 50 pidhdbdjduwywggdhfnfjrhdvdvdndjdjf
Answers
Answer:
15
Step-by-step explanation:
50 x .3
Answer:15
Step-by-step explanation:
I need the answer too all of these:
1. 7x + 1x = ?
2. 6 + 1 + 5x = ?
3. 4x + 7x + 3 - 2 = ?
4. 6x + 6 + 8 + 1x = ?
5. 7x - 7x + 2 = ?
6. 3x + 6 + 1x = ?
7. 8- 8x - 3 = ?
8. 2x - 5 + 2 =
HELP ASAPP
Answers
2.5x+7
3.11x+1
4.7x+15
5.2
6.4x+6
7.8x-11
8.2x-3
2.) 7 + 5x
3.) 11x + 1
4.) 7x + 14
5.) 2
6.) 4x + 6
7.) 8x - 5
8.) 2x - 3
1 A lawnmower that regularly sells for $200 is on sale for $85. Find the % of change that the price was decreased by ??? percent. Round to the nearest whole percent.
Answers
Answer:
The price changed by 92.5 %
Step-by-step explanation:
The regular price of lawn mover = 200 dollars
The new selling price = 85 dollars
Change in selling price = 200 -85 dollars = 115 dollars
% change == [tex]\frac{185}{200} * 100 = 92.5[/tex]
The price changed by 92.5 %
A trapezoid has a base 1 = 6 base = 8 and a height = 3 whats the area?
Answers
Answer:
[tex]area = 21[/tex]
Step-by-step explanation:
Area of trapezoid formula:
[tex]area = \frac{a + b}{2} h[/tex]
Given information:
a: 6
b: 8
h: 3
Using the given information,
[tex]area = \frac{6 + 8}{2} 3[/tex]
Add the numbers in the numerator
[tex]area = \frac{14}{2} 3[/tex]
Reduce fraction with 2
[tex]area = 7 \times 3[/tex]
Answer:
[tex]area = 21[/tex]
4. A surgical patient needs to have her liquid intake carefully monitored. How many mL of fluid did she consume if she
drankL of water, a pint of milk, and 8 oz of juice?
Answers
1 pint = 473.176 mL
1000 mL in decimals = 0.001
8 ounces = 236.588 mL
473.176 + 0.001 + 236.580 = 709.765
The patient consumed 709 mL or 709.765 mL with decimals.
Solve the equation for all real solutions in simplest form.
3z^2+17z+16=0
Answers
Answer:
[tex]x=\frac{-17+\sqrt{97}}{6}[/tex], [tex]x=\frac{-17-\sqrt{97}}{6}[/tex]
Step-by-step explanation:
Use the quadratic formula to solve for all real solutions.
Quadratic formula: [tex]x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}[/tex]
Plug in and solve:
[tex]x=\frac{-17\pm\sqrt{17^2-4(3)(16)}}{2(3)}\\\\x=\frac{-17\pm\sqrt{289-4(3)(16)}}{2(3)}\\\\x=\frac{-17\pm\sqrt{289-12(16)}}{2(3)}\\\\x=\frac{-17\pm\sqrt{289-192}}{2(3)}\\\\x=\frac{-17\pm\sqrt{97}}{6}\\[/tex]
Since that's the farthest we can simplify to, your answers would be the positive and negative versions of the expression:
[tex]x=\frac{-17+\sqrt{97}}{6}[/tex]
and
[tex]x=\frac{-17-\sqrt{97}}{6}[/tex]
Write the missing decimal so that each pair adds to 1/2 + ...= 1
Answers
Answer:
0.5
Step-by-step explanation:
1/2 + 0.5 = 1
PLEASE HELP ME match the equations at the bottom of the screen to the graph.TYSM
Answers
Answer: It's given in the equations.
Step-by-step explanation:
First One
f(x) = -2^x
Second
f(x) = -4(2)^x
Third
f(x) = 4(2)^x
Fourth
f(x) = 2^x
PLEASE HELP IN ONE MINUTE WILL MARK BRAINLIST
Answers
Answer:
1,-2 | -2,7 ????
Step-by-step explanation:
Add the fractions. Reduce the answer to lowest terms.
8\9+1/9
Answers
Answer:
1
Step-by-step explanation:
8 + 1 = 9/9
- -
9. 9
Mike bakes 24 cookies for some friends. He gives the same number of cookies to 2 friends. How many cookies c does each friend receive? Write an equation to represent the number of cookies each friend receives.
Answers
Answer:
12 cookies for both friends (assuming you don't get any)
Step-by-step explanation:
24/2=12
since you seem like a kid, that slash means divided by
Ana and her friends are decorating the gym for a dance. They need 270 balloons. The balloons are only sold un packages. Tere are 50 balloons in each package.
Answers
Answer:
Step-by-step explanation:
270 div
i dont know this help me
Answers
Kiemanh is solving the equation 15 r minus 6 r = 36. What is the value of r?
Answers
Answer:
4
Step-by-step explanation:
combine like terms 15r-6r=9
9=36
divide both sides by 9
=4
Look at the formula for finding distance. Which of the following is the formula to find time? [picture included]
Answers
Answer:
A.
Step-by-step explanation:
Answer:
[tex] \huge \: \boxed { \boxed{ \red{ a)t = \frac{d}{r}}}}[/tex]Step-by-step explanation:
to understand thisyou need to know about:equationPEMDASgiven:[tex]d = rt[/tex]to find[tex]t[/tex]let's solve:[tex]step - 1 :define[/tex]
[tex]d = rt[/tex]
[tex]step - 2 : solve[/tex]
[tex]rewrite : \\ rt = d[/tex][tex]divide \: both \: sides \: by \: r : \\ \frac{rt}{r} = \frac{d}{r} [/tex][tex]simplify : \\ t = \frac{d}{r} [/tex][tex] \huge \: \boxed { \boxed{ \red{ \therefore t = \frac{d}{r}}}}[/tex]
What is 82×68 this is very hard
Answers
Answer:
5576
Step-by-step explanation:
Hope you have a good day, Loves!
Also if I'm right can you let me know please?
Also Also if I am right can I have Brainliest??
I need help with math
Answers
Answer:
6:3
Step-by-step explanation:
Find the 18h term of the arithmetic sequence whose common difference is d=4 and whose first term is a, =3.
Answers
Answer:
the 18th term is 71
Step-by-step explanation:
The general form for any term "n" in an arithmetic sequence is:
a(n) = a1 + (n-1) * d
where "d" is the common difference.
So, in our case we have:
a(n) = 3 + (n-1) *4
Therefore, the 18th term will be:
a(18) = 3 + (18 - 1) 4 = 3 + 17 * 4 = 71
The position of a particle on a straight line is given by s(t) = 3 – cos(t).
A. Find velocity and acceleration at t = 4.3 s.
Round your answers to 2 decimal(s).
v(t) =
a(t) =
Answers
Given the position function
s(t) = 3 - cos(t )
differentiate once to get the velocity, and twice to get the acceleration:
v(t) = s'(t) = sin(t ) → v (4.3 s) ≈ -0.92
a(t) = s''(t) = v'(t) = cos(t ) → a (4.3 s) ≈ -0.40
The acceleration is negative, so the particle is slowing down.
There is a quadrilateral with vertices A (-4,0), B (-3, 4), C (2,6), and D (2,3).
Is this a parallelogram?
Answers
Paul got 15 out of 20 questions correct on his test. What percent of the questions did Paul get correct?
Answers
15/20 = 75/100 (you just have to multiply both top and bottom by five)
Answer:75%
Step-by-step explanation:
To make a fraction into a percent you have to multiply it by 100
So: 15/20 x 100=15x5=75 so he got 75% of his problems right
Jack decides to invest $300 per quarter into an annuity. How long would he have to keep investing if the annuity is paying 8% annually and he wants to accumulate $10,000?
Answers
Answer:
25.95 quarters which is about 6.5 years
Step-by-step explanation:
1. Javier scored 78% on the test. Write this
percent as a fraction in simplest form and
as a decimal.
Answers
As a fraction: 39/50
As a decimal: .78
Answer:39/50
Step-by-step explanation:
please hurry. 1. Calculate the grade point average: An A is considered 4.0, a B is 3.0, a C is 2.0, a D is 1.0, and an F is 0. If you received the following grades, what would be your grade point average? Round your answer to the hundredths place. Please show me how you got ur answer step by step
Course Credits Grade
Sociology 3.0 A
Calculus 4.0. F
New Student Seminar 1.0 C
Physics. 5.0. A
Answers
Answer:
b
Step-by-step explanation:
You and some friends are at a Chinese restaurant. You order several `\$2.00` plates of wontons. Your bill is `\$24`. How many plates of wontons did you order?
Answers
Answer:
12
Step-by-step explanation:
It does not say what the tax is so the answer would be 12. You just divide 2 by 24.
Answer:
12
Step-by-step explanation:
24 divided by 2 is 12 or 2 times 12 is 24
mark me brainliest
Can someone please help me with my math homework?
Answers
a dog walks 696 steps in 12 minutes. how many steps in 12 minutes
Answers
Answer:
696 steps
Step-by-step explanation:
PLS HELP !!! I need this question done quick
Answers
Answer:
a. 17 b. 51
Step-by-step explanation:
Follow Order of Operations (PEMDAS):
Parentheses, Exponents, Multiplication/Division, Addition/Subtraction
a. 9 + 4² - (4-2) • 4
9 + 4² - (4-2) • 4 –––Start with (4-2) = 2 (parentheses)
9 + 4² - 2 • 4 ––– 4² (exponents)
9 + 16 - 2 • 4 ––– 2 • 4 (multiplication)
9 + 16 - 8 ––– 9 + 16 (addition)
25 - 8 ––– 25 - 8 (subtraction)
17
b. 15 - 4 + 2(7-3) • 5
15 - 4 + 2(7-3) • 5 ––– Start with 2(7-3)
~ Note: this can be done using distributive property (2•7 - 2•3) OR solving the parentheses first and then multiplying 2(4). Both get 8 and same end result.
15 - 4 + 8 • 5 ––– 8 • 5 (multiplication)
15 - 4 + 40 ––– 15 - 4 (subtraction) *Note: Subtraction and addition are interchangeable in the order because you do it left to right*
11 + 40 ––– 11 + 40 (addition)
51
Answer:
(a. 7) (b. 51)
Step-by-step explanation:
A.
[tex]9 + 4^{2} - (4-2) * 4\\\\9 + 4^{2} - (2) * 4\\9 + 16 - 2 * 4\\9 + 16 - 8\\25 - 8\\17 \\[/tex]
B.
[tex]15 - 4 + 2 (7 - 3) * 5\\15 - 4 + 2 (4) * 5\\15-4+(2*4*5 )\\15-4+40\\11 + 40\\51[/tex]
(I don't know the numerical values)
Jason bought 6 CDs to add to his collection. A week later he dropped half of his total collection in a pond. He only had 12 CDs left. How many CDs did he start with?
Answers
Answer:
24 CDs
Step-by-step explanation:
if he dropped half of his CDs then the other half is in the equation. 12×12=24 the 6 is just there to throw you off...
if I get it wrong my bad its 2 am
Answer:
Jason starts with 18 CDs
Step-by-step explanation:
12 x 2 = 24
24 - 6 = 18
Solve for X:
5x - 14 = 8x + 4
a X = -6
b
X = 10/3
c
X = 6
d
X = -18/13
Answers
Answer:
a) x = -6
Step-by-step explanation:
5x - 14 = 8x + 4
-14 = 3x + 4
-18 = 3x
x = -6
Answer:
A) 5 (-6) - 14 = 8 (-6) + 4
- 30 - 14 = - 48 + 4
- 44 = - 44
Step-by-step explanation:
La respuesta correcta es la A, ya que x = - 6
