The volume of a cone is 202.92 cubic units. If a cylinder has the same height and radius as the cone what is volume in cubic units
Given :
The volume of a cone is 202.92 cubic units. The cylinder has the same height and radius as the cone.
To Find :
The length of height and radius .
Solution :
Volume of cone is given by :
[tex]V = \dfrac{\pi r^2 h}{3}\\\\V = \dfrac{\pi r^3}{3}\\\\r = \sqrt[3]{\dfrac{3V}{\pi}} \\\\r = \sqrt[3]{\dfrac{3 \times 202.92}{\pi}}\\\\r = 5.79 \ units[/tex]
Hence, this is the required solution.
3. A pupil left home for school at a speed of
5 km/h and returned at a speed of 4 km/h
The whole journey took 5 h 24 min.
How far is the school from home, in
kilometres
A 9
B. 12
C. 24
D. 27
Answer:
12 km
Step-by-step explanation:
5h 24min = 5.4 hrtime = distance / speed--------------------------------
time out + time back = total time
d/5 + d/4 = 5.4
multiply both sides by 20 to clear the fractions
4d + 5d = 108
9d = 108
Divide both sides by 9
d = 12 km
Find the sun of the whole numbers from 1 to 880
Answer:
387,640
Step-by-step explanation:
hope this helps, braniest...
accounting equation is what
AB|CD
Find the value of x.
Answer:Generally, the algebraic expression should be any one of the forms such as addition, subtraction, multiplication and division. To find the value of x, bring the variable to the left side and bring all the remaining values to the right side. Simplify the values to find the result.
Step-by-step explanation:
rea Under the Curve Calculator: Multiplying ...
Volume of A Cylinder Calculator: F Distribution ...
Normal Distribution Calculator: Cp Calculator
Density Calculator: Probability Density Function ...
Choose all of the following relationships that represent functions
I need help I have been stuck on this for years. Plz anything helps
9514 1404 393
Answer:
see below
Step-by-step explanation:
Perhaps you're stuck because it is too simple. If any value in the x-column is repeated, the relation is not a function.
Of the two relations shown, the first is not a function (x=3 is repeated), and the second one is a function (all the x-values are different).
2. Evaluate the expression when x = 7 and y = 4 x * y - 4(2)
Answer:
20
Step-by-step explanation
7*4=28
28-4=24
4(2)=8
28-8=20
hope that helped!!
Answer:
y = 8/27
Step-by-step explanation:
given
x = 7
y = 4x*y - 4(2)
y = 4*7*y - 8
y = 28y - 8
8 = 28y - y
8 = 27y
8/27 = y
to prove
y = 4x*y - 4(2)
8/27 = 4*7*y - 8
8/27 = 28*8/27 - 8
8/27 = 224/27 - 8
8/27 = 224 - 27*8/27
8/27 = 8/27
hence it is proved that y is 8/27 .
How many 3-letter words can we make from the letters A, B, C, and D, if we are allowed to repeat letters, and we must use the letter A at least once? (Here, a word is an arbitrary sequence of letters.)
PLEASE HELP!!!! What is the measure of angle BCD
Answer:
82° because
98° + 70° = 168°
360° - 168° = 192°
192° is for two angles, so it can't be 192°, 220°
it's not VERY obtuse angle. So it remains only 82°
Given () = 3 + 2, what is the value of (2)?
Answer:5
Step-by-step explanation:
r- 17.3 = -3.2 what's the answer to this?
Am I supposed to add or divide?
Answer: 11.20
Step-by-step explanation:
Divide. 56.00 ÷ 5 = 11.20 therefore each shirt cost 11.20 Hope that helps!
Answer:
Divide.
Answer : option B
Step-by-step explanation:
Cost Number of shirts
56 5
x 1
[tex]\frac{56}{x} = \frac{5}{1}[/tex]
[tex]5 \times x = 56 \times 1\\\\x = \frac{56}{5} = 11.20[/tex]
- Leona Bahr is paid a commission of 12% on all sales above $7,000 for the week. She is also paid a weekly salary of $380. What are her total earnings for a week in which her sales were $9,800?
Answer:
716
Step-by-step explanation:
9800-7000=2800 sales over 7000
2800 x .12=336 commission
380 (salary) + 336 (commission)=716 Total earnings
The points (-6, r)
and
(6,3) lie on a line with slope 3/4. Find the missing coordinate r.
Answer:
r=-6
Step-by-step explanation:
[tex]m=\frac{y2-y1}{x2-x1} \\\frac{3-r}{6-(-6)} =\frac{3}{4} \\4(3-r)=3(12)\\12-4r=36\\-4r=24\\r=-6[/tex]
2x + y = 19
-2y - 2x = -22
please show step by step
Answer:
the value of x = 3 and y = 3
Step-by-step explanation:
2x + y = 9 ------------ (1)
-2y -2x = -22 ------------ (2)
Subtract (1) from (2)
-2x -2y = -22
2x + y = 19
----------------------
-y = -3
y = 3
Put the value of y in equation 1
2x + y = 9
2x + 3 = 9
2x = 9 - 3
2x = 6
x = 6/2
x = 3
Therefore, the value of x = 3 and y = 3
Hope u understand
Please mark as brainliest
Thank You
Twice a number divided by 5 gives 4
simple equations
Answer:
x=10
Step-by-step explanation:
Let the number = x
∴ 2x/5=4
∴2x=5*4
∴2x=20
∴x=20/2
∴x=10
Hope it helps you!
Mark as brainliest if you like it
Answer:
2x / 5 = 4
x = 10
Step-by-step explanation:
Twice a number divided by 5 gives 4
2x / 5 = 4
2x / 5 = 4
Multiply both sides by 5
2x = 20
Divide both sides by 2
x = 10
Calcululate relative frequency and cumulative frequency. Round relative frequency to two decimal places. X f Relative Frequency Cumulative Frequency 5 5 4 7 3 8 2 2 1 4
Answer:
Frequency Relative Frequency Cumulative Frequency
5 0.1220 0.1220
5 0.1220 0.2439
4 0.0976 0.3415
7 0.1707 0.5122
3 0.0732 0.5854
8 0.1951 0.7805
2 0.0488 0.8293
2 0.0488 0.8780
1 0.0244 0.9024
4 0.0976 1.0000
41
Step-by-step explanation:
Frequency Relative Frequency Cumulative Frequency
5 0.1220 0.1220
5 0.1220 0.2439
4 0.0976 0.3415
7 0.1707 0.5122
3 0.0732 0.5854
8 0.1951 0.7805
2 0.0488 0.8293
2 0.0488 0.8780
1 0.0244 0.9024
4 0.0976 1.0000
41
I need help with this question
Answer:
Hi there, I like your pfp!
The correct answer should be 11 1/2!
Step-by-step explanation:
-48/-8 = 6 4/8 = 6 1/2
6 1/2 + 5 =
11 1/2
Anyways, hope this helped!
4 cm
7 cm
12 cm
10 cm
9 cm
Work out the volume and surface area of the prism.
Answer:
42
Step-by-step explanation:
4th grade math question
Answer:
1 1/6
Step-by-step explanation:
the problem is asking you to do 1/6 7 times. Lets break it down and make it 1/6 plus 1/6 plus 1/6 plus 1/6 plus 1/6 plus 1/6 plus 1/6
so lets add the all the numerators 1 plus 1 plus 1 plus 1 plus 1 plus 1 plus 1 is 7
the numerator value is 7 and you dont add the denominator so it stays as 6
so the answer is 7/6 or 1 1/6 as a mixed number
Answer:1 1/6
Step-by-step explanation: The answer is one and one sixth because when you imagine that the 7 is over one, when you times it you get 7/6 and that is 1/ 1/6
Find the product of (x − 7)2
Answer:
the answer is 2x-14.
Step-by-step explanation:
because 2 multiply both the number 2 and x
Let f(x) = 3x + 5 and g(x) = x2. Find and state its domain.
Answer:
The answer f (x^2) = 3x^2 + 5
Step-by-step explanation:
hmm... i don't really know how to explain how I did it but that's the answer
Hello if you're able to answer this question for me please do and provide work, Thank you
Graph the circle x2 + y2 – 14x + 2y +41 = 0.
y
9
7
8
7.
6+
5.
4
3-
2+
-9-8-7-6-5-4-3-2
+++ 2
2 3 4 5 6 7 8 9
-2
-3
-4
-5
-6-
-7
Answer:
a
Step-by-step explanation:
La abuela de Jorge, cuando llegan las fechas navideñas, reparte 120 € entre los tres nietos de la siguiente forma: Jorge, como es el mayor, recibe 10 € más que su prima Alejandra, y esta 10 € más que la prima pequeña Marina. ¿Cuánto dinero recibe cada uno?
Answer:
Marina recibe 30 euros, Alejandra recibe 40 euros y Jorge recibe 50 euros.
Step-by-step explanation:
Dado que la abuela de Jorge, cuando llegan las fechas navideñas, reparte 120€ entre los tres nietos de la siguiente forma: Jorge, como es el mayor, recibe 10 € más que su prima Alejandra, y esta 10 € más que la prima pequeña Marina, para determinar cuánto dinero recibe cada uno se debe realizar el siguiente cálculo:
J = A + 10
A = M + 10
M = M
J + A + M = 120
A + 10 + M + 10 + M = 120
M + 10 + 10 + M + 10 + M = 120
3M + 30 = 120
3M = 120 - 30
M = 90 / 3
M = 30
Por lo tanto, Marina recibe 30 euros, Alejandra recibe 40 euros y Jorge recibe 50 euros.
Your checking account is in debt $20. You use this account to make a $10 purchase. Then, you deposit $38 into the account. What is the balance of the checking account?
Answer: 8
Step-by-step explanation
Answer:
$8
Step-by-step explanation:
If we just keep track of the money in the account, we can solve this pretty quickly. If the balance is -20, and we subtract another 10 from it, it gives us -30. $38 is then deposited into the account, giving us a balance of $8.
[tex]-20-10+38=8[/tex]
The cost of a week long vacation in a city has a mean of 1000 and a variance of 1200. The city imposes a tax which will raise all tourism related costs by 10%. Find the coefficient of variation for the cost of a week long vacation in this city after the tax is imposed.
Answer:
The coefficient of variation after the tax is imposed is 0.033
Step-by-step explanation:
Given
[tex]\mu =1000[/tex] --- mean
[tex]\sigma^2 = 1200[/tex] --- variance
[tex]tax = 10\%[/tex]
Required
The coefficient of variation
The coefficient of variation is calculated using:
[tex]CV = \frac{\sqrt{\sigma^2}}{\mu}[/tex]
After the tax, the new mean is:
[tex]\mu_{new} = \mu * (1 + tax)[/tex]
[tex]\mu_{new} = 1000 * (1 + 10\%)[/tex]
[tex]\mu_{new} = 1100[/tex]
And the new variance is:
[tex]\sigma^2_{new} = \sigma^2 * (1 + tax)[/tex]
[tex]\sigma^2_{new} = 1200 * (1 + 10\%)[/tex]
[tex]\sigma^2_{new} = 1320[/tex]
So, we have:
[tex]CV = \frac{\sqrt{\sigma^2}}{\mu}[/tex]
[tex]CV = \frac{\sqrt{1320}}{1100}[/tex]
[tex]CV = \frac{36.33}{1100}[/tex]
[tex]CV = 0.033[/tex]
Find the equation of a line that contains the points (4, -2) and (-8, -1). Write the equation in slope-intercept form, using
fractions when required.
Answer:
y =−12 /1 x−3 /5
Find the mean for the given sample data. Unless indicated otherwise, round your answer to one more decimal place than is present in the original data values. The local Tupperware dealers earned these commissions last month: $1077.28, $2661.13, $4642.11, $4264.15, $1019.55, $3444.20, $2525.92, $3740.26, $3533.07, $1633.84 What was the mean commission earned? Round your answer to the nearest cent.
Answer:
the mean commission earned is 2854.15
Step-by-step explanation:
The computation of the mean commission earned is shown below'
The mean is
= ($1077.28 + $2661.13 + $4642.11 + $4264.15 + $1019.55 + $3444.20 + $2525.92 + $3740.26 + $3533.07 + $1633.84) ÷ 10
= 2854.15
Hence, the mean commission earned is 2854.15
The same should be considered and relevant
Which equivalent to (11-9)^3x2
Answer:
11-9=2 then, 2^3=8 , finally 8X2=16
Step-by-step explanation:
remember order of operations