Answer:
h = 4 cm
Step-by-step explanation:
The formula for volume of a cylinder is
V = πr²h where V is the volume, r is the radius, and h is the height.
We are given V = 64π, and r = 4, plug those in and solve for h
64π = π(4²)h
64π = 16πh
(64π)/(16π) = (16πh)/(16π) (divide both sides by 16π)
4 = (16π)/(16π)h
4 = h
Here, we are provided a right circular cylinder with :
Volume = 64 π cubic yards Height = 4 yards Radius = ?We know that :
[tex] \quad\hookrightarrow\quad{\pmb{ \mathfrak { Volume = \pi r^2 h }}}[/tex]
Therefore,
[tex] \implies\quad \sf{V = \pi r^2 h }[/tex]
[tex] \implies\quad \sf{64\pi = \pi r^2 \times 4 }[/tex]
[tex] \implies\quad \sf{ \pi r^2 \times 4 = 64\pi}[/tex]
[tex] \implies\quad \sf{r^2 =\dfrac{64\pi}{\pi \times 4} }[/tex]
[tex] \implies\quad \sf{ r^2 =\dfrac{\cancel{64}}{\cancel{4}}\times \cancel{\dfrac{\pi}{\pi}}}[/tex]
[tex] \implies\quad \sf{ r^2 = 16}[/tex]
[tex] \implies\quad \sf{r=\sqrt{16} }[/tex]
[tex] \implies\quad \underline{\underline{\pmb{\sf{r= 4}}} }[/tex]
Kathy and George are in charge of picking the cherry tomatoes. They picked a huge bushel of 744 tomatoes. They want to pack them in little baskets that can each hold 24 tomatoes. How many baskets will they need to pack the tomatoes?
Answer:
31 baskets they will need
Step-by-step explanation:
744 ÷ 24 = 31
Question 5(Multiple Choice Worth 5 points)
(01.05 MC)Which fraction is equivalent to 2/-6
• -2/6
• 2/6
• -2/-6
• 6/2
Answer:
-2/6
Step-by-step explanation:
the negative is applied to the entire fraction so it doesnt matter if its at top or bottom
-2/6
Step-by-step explanation:
the fraction which is equivalent to is -2/6
cuz where are the minus sign is on the numerator or the denominator is still gives the same output
SO 2/-6
=> - 0.333
Even
-2/6
=> - 0.333How much greater is the sum of the interior angles of a decagon the song of the interior angles of a quadrilateral
Answer: 1080 degrees
Step-by-step explanation:
Avery bought a washing machine originally priced at $864. 72 but on sale for 30% off. After 4% sales tax what was the total cost?
Answer:
$629.52
Step-by-step explanation:
864.72(.3) = 259.41
864.72 - 259.41 = 605.31
605.31(.04) = 24.21
605.31 + 24.21 = 629.52
Simplify the expression to a polynomial in standard form:
(x – 4)(3x² + 4x – 4)
The Woodman Firewood Company delivers natural firewood to homes in Manhattan,
They charge a certain amount per cord for firewood and a fixed amount for each delivery,
no matter how many cords are delivered. My bill from WFC last winter was $155 for one
cord of wood, and my neighbor's bill was $215 for one and one-half cords. What is the
charge for each cord of wood and what is the delivery charge?
Answer:
step by step and the dog got 10 fire wood
please answer quickly thank you
Answer:
the last one. -0.5<t≤3.
Step-by-step explanation:
the black circle means including so 't' is less than or equal to 3
the white circle means not including so 't' is more than -0.5
The system of equations y=-2x+3 and y= x is graphed.What is the solution to the system of equations?
Answer:
(1,1) x=1 y=1
Step-by-step explanation:
all of the inequalities that have the same solutions as -4x<20
Solve the system of linear equations.
6x+2y=16
2x - y = 2
Do I put into point slope form??
Answer:
The simple answer, "Yes"
Answer:
Point slope form of the equations:
y = -3x + 8
y = 2x - 2
Solution to the system of equations:
(x, y) ==> (2, 4)
Step-by-step explanation:
6x + 2y = 16
2x - y = 2
6x + 2y = 16
2(2x - y = 2) ==> 4x - 2y = 4
6x + 2y = 16
4x - 2y = 4
10x = 20
/10 /10
x = 2
Now, we solve for y:
6x + 2y = 16
6(2) + 2y = 16
12 + 2y = 16
-12 -12
2y = 4
/2 /2
y = 2
(x, y) ==> (2, 2)
Point-slope forms:
6x + 2y = 16
-6x -6x
2y = -6x + 16
/2 /2
y = -3x + 8
2x - y = 2
-2x -2x
-1y = -2x + 2
/-1 -1
y = 2x - 2
Hope this helps!
HELPPPP MATH AGAIN LAWD.
Answer:
0 ft/sec
Step-by-step explanation:
He just dropped the hammer, so it's initial velocity is zero ft/sec.
Had he thrown the hammer down, the story would be different!
Answer:
I am sorry if this wrong. I believe the initial velocity is 20.
Step-by-step explanation:
My reasoning is because the -16t^2 is representing the time. The h for height we are trying find the height. So that leave us with the initial velocity 20.
I apologize if this wrong. Hope this helps!
Have a great day/night!
Please Help 20 Points
Answer:
Honestly i might be wrong but i did some math and got the first one
Step-by-step explanation:
soryy if im wrong 144a^3
Answer:
The answer is D 4a^3Step-by-step explanation:
B= 12a^3 - 6a^3 - 2a^3= 2a^3 - 8a^3=4a^3Hope this helps you.^-^how do i write 35% of $96.88 and explain my work
Answer:
$33.91
Step-by-step explanation: Take 35% and change it to .35 now multiply 96.88 by .35 and you will get 33.908 round up to 33.91
Answer:
33.908
Step-by-step explanation:
To find the percentage of a certain number, you need to convert the percentage into its decimal form (0.35) and multiply it by the certain number. Then you'll have your answer!
0.35*96.88=33.908
33.908 is 35% of 96.88
Here's another example! Let's say you want to find 45% of.... 78!
45% is 45/100. The first step is to convert 45% into its decimal form. (45/100=0.45)
Then you multiply the decimal by the number you want to find the percentage of!
0.45*78=35.1
35.1 is 45% of 78!
I hope this helped :D
Please show the work on answer
Answer:
what's the question
Step-by-step explanation:
Sam's height is 15 centimeters less than 2 times Martha's height. If Sam is 185 centimeters tall, and Martha's height is x, the relationship between the heights can be represented by the equation 2x-15=185. What is Martha's height?
Answer:
Step-by-step explanation:
If Sam is 185 centimeters tall, and Martha's height is x, the relationship between the heights can be represented by the equation 2x − 15 = 185. What is Martha's height? A:90.
a family consumes 325 grams of sugar everyday if 3 kg is bought then how much of sugar is brought then how much will remain after a week
Write and solve an equation to answer the question.
17 is what percent of 68?
show steps to get brainliest
Answer:
25%
Step-by-step explanation:
1. 68/17= 4
2. 4= 25%
3 so 25%
Marie has bought a plant which she needs to transfer from its cylindrical pot to the ground. The pot has diameter 10 cm and is 21 cm high. Marie needs to dig a hole 4cm wider and 5cm deeper than the pot. She then inserts the plant and fills in the rest of the hole with extra soil. (i) Calculate the volume of the hole Marie needs to dig. (ii) Before inserting the plant, Marie fills the hole with water. How much water will she need, assuming none of it soaks away? (iii) Marie is planning to paint the outside of the cylindrical pot excluding the top and bottom. Calculate the area to be painted
Using known formulas for cylinders, we will get:
i) 4,000.36 cm^3ii) 4,000.36 cm^3iii) 1,142.96 cm^2.Working with cylinders:
We know that the pot has a diameter of 10cm and a height of 21 cm, and the hole must be 4 cm wider (so the diameter is 14cm) and 5 cm deeper (so the height is 26cm).
i) The volume of a cylinder of radius r and height H is given by:
V = pi*r^2*H
Where pi = 3.14, and the radius is half the diameter, so we have:
r = 14cm/2 = 7cm.
Then the volume is:
V = 3.14*(7cm)^2*26cm = 4,000.36 cm^3
ii) To fill a volume of 4,000.36 cm^3, you need 4,000.36 cm^3 of water.
iii) The curve surface of a cylinder is given by:
S = 2*pi*r*H
Remember that:
r = 7cm
H = 26cm.
Replacing that we get:
S = 2*3.14*7cm*26cm = 1,142.96 cm^2
So se must paint an area of 1,142.96 cm^2.
If you want to learn more about cylinders, you can read:
https://brainly.com/question/7194993
The population of a small town increased by 3.25 in the last year. What if the town population was 10,400 last year show work
Answer: 33,800
Step-by-step explanation: 10,400 x 3.25 = 33,800
Answer:
14,200 people are now in the town
Step-by-step explanation:
First, find 3.25% of 10,400.
3.25% of 10,400
3.25 × 10,400 = 3,800
Then, add that to 10,400 to get 14,200.
Multiply (simplest form)
6x^2/x(x-3)•(x-3)/10(x+2)
Answer:
[tex]\frac{3x}{5(x+2)}[/tex]
Step-by-step explanation:
Rewrite the division as a fraction.
Find the constants "a", "b", "c", "d" and "e" in a quartic ((a[tex]ax^(4)+bx^(3)+cx^(2)+dx+e = y[/tex]) WITHOUT USING DERIVATIVES
Given the points:
(1, 181/3)
(6,5)
(14,1)
(28, 6/853)
Answer:
question error
Step-by-step explanation:
try uploading the question again
please help me with these
Answer:
a. 24
b. 10
c. 4
Step-by-step explanation:
Hope this helps
Answer:
a-24
b-10/1
c-4/1
Step-by-step explanation:
hope this helps
A rectangular prism has a length of 20 centimeters, a height of 10 centimeters, and a width of 20 centimeters. What is its volume, in cubic centimeters?
Answer: 4000 cm^3
Step-by-step explanation:
The volume of a rectangular prism is the length*width*height.
We can plug in the values given:
Volume = 20 cm * 20 cm * 10 cm
Volume = 4000 cm^3
What would the equation be for the points (0,-2) and (2,6) be? (SLOPE INTERCEPT FORM y=mx+b)
Answer:
Slope m=4
Step-by-step explanation:
m=(y2-y1)/(x2-x1)
We have A(0,-2)->x1=0, y1=-2
B(2,6)->x2=2, y2=6
First right answer marked Brainliest
What is the intersection of A and F and B and D
point C
point E
point A
point D
Answer:
C
Step-by-step explanation:
Given the options and guessing that you mean line A F and line B D. The intersection is where they intersect (don't know if that helps...)
Answer:
point c is the right answer .
Step-by-step explanation:
this is actually pretty easy . intersection is basically where the points meet together . they all meet at c
Penn draws a triangle with one 90 degree angle. What could be the measures of the other two angles in Penn’s triangle?
A: 30 and 60 degrees
B: 90 and 90 degrees
C: 60 and 120 degrees
D: 90 and 180 degrees
PLEASE SHOW WORK!
Answer: should be answer B my guy
Step-by-step explanation:
Can someone help me
Answer:
C. there is no solution
Step-by-step explanation:
Add 6 to both sides:
2x- 6 + 6=2x +5 + 6
Simplify equation above:
2x=2x+11
Subtract 2x from both sides:
2x - 2x=2x+11 -2x
Simplify equation above:
0 = 11
The sides are not equal, Therefore there is no solution :(
Someone pls i need to fill the table under the graph
Answer:
9
11
15
Step-by-step explanation:
Read the points in the graph that correspond to y = 0, y = 2, y = 6.
Answer:
9
11
15
The county health inspector will select a random sample of 4 community swimming pools in the county to investigate the pH levels. (b) Describe the sampling distribution of the sample mean for samples of size 4.
Using the Central Limit Theorem, considering a normally distributed population with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution is normal, with mean [tex]\mu[/tex] and standard deviation [tex]0.5\sigma[/tex].
Central Limit TheoremThe Central Limit Theorem establishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].
Hence, considering a normally distributed population with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], and with the sample size of n = 4, the mean remains the same while the standard deviation is given by:
[tex]s = \frac{\sigma}{\sqrt{4}} = 0.5\sigma[/tex]
More can be learned about the Central Limit Theorem at https://brainly.com/question/24663213
A lawn sprinkler sprays water 4 feet in all direction as it rotates.
Find the area of the lawn the sprinkler covers. Use 3.14 for pi.
Answer:
50.24 ft^2
Step-by-step explanation:
The radius of the circle in which the lawn sprinkler sprays water is 4 feet.
The formula to find the area of a circle is [tex]\pi r^2[/tex], where r = radius and π, in this case, is 3.14.
3.14 × 4^23.14 × 1650.24 ft^2Therefore, the answer is 50.24 ft².
Answer: D.50.24 ft
Step-by-step explanation: