Answers
V = (3.14)(9)(9)
V = 254. 34 cm cubed
I don’t have time to help with the other questions but I hope this helps you know how to use the cylinder volume formula
Answer:
Step-by-step explanation:
1.
[tex]diameter = 6\:cm\\Radius = \:d/2\: =\: 6/2 = 3\:cm\\Height = 9\:cm\\\\Volume \:of\:a\:cone : \frac{1}{3} \pi r^2 h\\\\V = \frac{1}{3}\times 3.14 \times 3^2 \: \times 9\\\\V = \frac{1}{3} \times 3.14 \times 9 \times 9\\\\V = \frac{254.34}{3} \\\\Volume = 84.78cm^3[/tex]
2.
[tex]diameter =\: 6\:cm\\Radius= d/2 = 6/2 = 3\:cm\\Height = 9\:cm\\Volume = ?\\\\Volume \:of\:a \:cylinder = \pi r^2 h\\\\V = 3.14 \times 3^2 \times 9 \\\\V = 3.14 \times 9\times 9\\\\Volume = 254.34\:cm^3[/tex]
3.
The volume of a cone is (one third) of the volume of a cylinder which has the same height as the cone and the same base radius as the cone.
So, you need 3 (three) volumes of cone to fill the cylinder.
Related Questions
Mickey has a bag of 30 containing nickels, dimes, and quarters. The total value of the 30 coins is $3.65. There are twice as many nickels as there are dimes. Find the numbers of quarters
Answers
Answer:
9.9 quarters or Approximately ≈ 10
Step-by-step explanation:
Let n = number of nickels
d =number of dimes
q = number of quarters
n + d + q = 30 coins....... Equation 1
1 nickel = $0.05
1 dime = $0.10
1 quarter = $0.25
0.05n + 0.10d + 0.25q =$ 3.65.......Equation 2
There are twice as many nickels as there are dimes.
Hence
n = 2d
n + d + q = 30 coins
2d + d + q = 30 coins
3d + q = 30 coins........Equation 3
3d = 30 - q
d= 30 - q/3
0.05n + 0.10d + 0.25q =$ 3.65
Since n = 2d
0.05(2d) + 0.10d + 0.25q = $3.65
0.10d + 0.10d + 0.25q = 3.65.........Equation 4
Substitute 30 - q/3 for d in Equation 4
0.10(30 - q/3) + 0.10(30 - q/3) + 0.25q = 3.65
= 3 - 0.10q/ 3 + 3 - 0.10q/3 + 0.25q
(3 - 0.10q) + (3 - 0.10q) + 3(0.25q)/ 3 = 3.65
Cross multiply
(3 - 0.10q) + (3 - 0.10q) + 3(0.25q) = 3 × 3.65
3- 0.10q+ 3 - 0.10q + 0.75q = 10.95
6 - 0.20q + 0.75q = 10.95
0.50q = 10.95 - 6
0.50q = 4.95
q = 4.95/0.50
q = 9.9 quarters
Therefore, the numbers of quarters is approximately ≈ 10 quarters
The set notation of [-5,16) is?
Answers
Answer: [tex]\left\{x | x \in \mathbb{R}, \ -5 \le x < 16\right\}[/tex]
=======================================================
Explanation:
We have some number x such that x is a real number, so we write that as [tex]x \in \mathbb{R}[/tex] which is saying "x is in the real number set".
The portion [tex]-5 \le x < 16[/tex] is how x is restricted. This means x can be -5 or larger, but also must be smaller than 16.
This is from the interval notation [-5, 16). The square bracket means we include -5 as part of the interval, but we exclude 16 because of the curved parenthesis.
The curly braces surrounding everything indicates that we have a set of values.
-----------------
Side note:
If x is an integer, then we can get this roster set {-5, -4, -3, -2, -1, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15} showing all of the integers between -5 and 16, including -5 but excluding 16.
Though chances are your teacher will want you to stick to real numbers rather than just integers.
Are 3x²y and -8xy² like terms? How do you know?
Answers
Answer:
No.
Step-by-step explanation:
Since 3x²y has an x² and -8xy² has a y², they are not like terms. Since they are different terms, you cannot add them together.
In the given figure, ABCD is a rectangle. Its diagonals meet at O. If OC = 3x – 4, OB = x + 4, then find OB, OC, OA, AC, BD and OD
Answers
Answer:
OB = 8
OC = 8
OA = 8
AC = 16
BD = 16
OD = 8
Step-by-step explanation:
Given, rectangle ABCD, with diagonals AC and BD, and OC = 3x – 4, OB = x + 4,
thus, since diagonals of a rectangle are equal, therefore, AC = BD.
Invariably, 2*OC = 2*OB
Thus, [tex] 2(3x - 4) = 2(x + 4) [/tex]
Solve for x
[tex] 6x - 8 = 2x + 8 [/tex]
Add 8 to both sides
[tex] 6x - 8 + 8 = 2x + 8 + 8 [/tex]
[tex] 6x = 2x + 16 [/tex]
Subtract 2x from both sides
[tex] 6x - 2x = 2x + 16 - 2x [/tex]
[tex] 4x = 16 [/tex]
Divide both sides by 4
[tex] \frac{4x}{4} = \frac{16}{4} [/tex]
[tex] x = 4 [/tex]
OB = x + 4 = 4 + 4 = 8
OC = 3x - 4 = 3(4) - 4 = 12 - 4 = 8
OA = OC = 8
AC = 2*OC = 2*8 = 16
BD = 2*OB = 2*8 = 16
OD = OB = 8
Last year Sarah bought 26 bottles of coke for a birthday party at the price of $1.25 per bottle. This year she paid $35 for the same number of bottles of coke. What is the increase in total price of bottles of coke?
Answers
The total increase in price all together was 2.50 for all of the bottles of coke
You are traveling to Japan and need Japanese Yen (¥ JPY). How much JPY could you get for $200 USD if the rate is USD/JPY 0.9333?
A.
¥199.07 JPY
B.
¥214.29 JPY
C.
¥186.66 JPY
D.
¥293.33 JPY
Answers
Answer:
The answer is C.
Step-by-step explanation:
0.9333* ¥ 200
= ¥ 186.66
Answer:
B 214.29
Step-by-step explanation:
usd/jpy=.9333
usd=jpy*.9333
200= jpy* .9333
jpy= 214.29
Simplify the expression where possible.(-4 x^2 )^2
Answers
Answer:
[tex]16x^{4}[/tex]
Step-by-step explanation:
[tex](a^{m})^{n}=a^{m*n} \\\\\\[/tex] and [tex](a*b)^{m}= a^{m}*b^{m}[/tex]
[tex](-4x^{2})^{2} = (-4)^{2} *(x^{2})^{2}\\\\\\=16 * x^{2*2}\\\\=16x^{4}[/tex]
Taylor's parents put $5,000 into college savings account that pays 5% simple interest. If the current balance is $8,500, about how many years has it been in the account?
Answers
Answer:
14 years
Step-by-step explanation:
To find the answer, you have to use the formula to calculate the time period:
t=(1/r)*(A/P-1), where:
t= time period
r= rate of interest=5%
A= accrued amount=$8,500
P= principal amount=$5,000
Now, you can replace the values in the formula:
t=(1/0.05)*(8,500/5,000-1)
t=20*0.7
t=14
According to this, the answer is that the money has been 14 years in the account.
why isn’t the square root of 5 a rational number? answer asap please
Answers
plz somebody help me
Answers
Answer:
Option 3
Step-by-step explanation:
It is the only one that increases by 8 just like the pattern
Answer: C. 40,48,56
Step-by-step explanation:
As seen in the sequence, 16, 24, 32
24-16=8
32-24=8
This means that between each term, you just add 8 to get the next term
--------------
32+8=40
40+8=48
48+8=56
Hope this helps!! :)
Please let me know if you have any question
-2p + 1 = -4p + 9
Cómo va esto?
Answers
-2p = -4p + 8 *Add 4p to both sides of equal sign*
2p = 8 *Divide both sides by 2, to isolate the p*
Answer: p = 4
Hope you learned something new!! ^v^
If A=kr² and V=kr³, find the percentage increase in A and V if r is increased by 20%
Answers
Answer:
The percentage increase in A is 44%. The percentage increase in V is 72.8%.
Step-by-step explanation:
The easiest way to go about solving this problem is to pick your own numbers and plug them into the given equations.
For example, let's say that k = 5 and that r = 10.
[tex]A=kr^{2}[/tex] ⇒ [tex]A= 5 * 10^{2} =500[/tex]
[tex]V=kr^{3}[/tex] ⇒ [tex]V= 5 * 10^{3}= 5000[/tex]
The question is asking, what is the percentage increase if r is increased by 20%. Our chosen k-value will stay the same but our r-value is going to increase. To find the new value of r, we multiply 10, our current value of r, by 1.2. This gives us a new value for r, which is 12.
[tex]10*1.2=12[/tex]
Now, we are going to plug in our new r-value and our k-value into the given equations. k = 5; new r = 12
[tex]A=kr^{2}[/tex] ⇒ [tex]A=5*12^{2}=720[/tex]
[tex]V=kr^{3}[/tex] ⇒ [tex]V=5*12^{3}=8640[/tex]
Next, we have to calculate the percentage increase in our values of A and V. To do this, we use the following formula:
[tex]Percentage Increase = \frac{final - initial}{initial} * 100[/tex]
Percentage Increase for A
Initial value: 500
Final Value: 720
[tex]Percentage Increase = \frac{720-500}{500} * 100 = 44%[/tex]
Percentage Increase for V
Initial value: 5000
Final Value: 8640
[tex]Percentage Increase= \frac{8640-5000}{5000} *100 = 72.8%[/tex]
The percentage increase for A is 44% and the percentage increase for V is 72.8%.
Hope this helps!
Explain why angle is considered a defined term in geometry.
Answers
Answer:
An angle is considered a defined term in geometry because defined terms are terms that have a formal definition and can be defined using other geometrical terms.
Angle: Two rays that share the same endpoint, however, the rays take off in different directions. The area in the middle of the two rays is the angle measure.
HELP PLEASE I ONLY GOT TODAY I NEED HELP ON 41,42,43, and 44 PLEASE HELP ME I NEED THIS TO GET MY GRADE UP
Answers
Answer:
Step-by-step explanation:
41. -3
42. 3
43 y^19
Answer:
41 ) b²/b^8=b^-6 ( when divide subtract exponents)
42 ) x.x².x^6=x^9 ( when multiply add exponents)
43) y^25/y^19 = y^6
44 ) when you divide numbers you make it smaller, so subtract the exponent will make the value of the base smaller.
Which is 0.ModifyingAbove 54 with bar converted to a simplified fraction?
Answers
Answer:
B 6/11
Step-by-step explanation:
The answer for edge 2021 is.....c-6/11
si -x+y+z=75, entonces -(x+3)+(y-5)+(z-6)=
Answers
Answer:
67
Step-by-step explanation:
● -(x + 3) + (y - 5) + (z - 6)
● -x - 3 + y - 5 + z - 6
● (-x + y + z) + (3 -5 -6)
● 75 + 3 - 11
● 78 - 11
● 67
Kathy withdrew $40 from the bank each week for six weeks. what is the change in the balance of her account? write a multiplication problem and then find the answer.
I'm in highschool and I still don't know this
Answers
Answer:
-$240
Step-by-step explanation:
40 x 6 is 240 so it changed by -$240 since it was a withdrawal
Answer:
-40 * 6 = -240
Step-by-step explanation:
Withdrawing money creates a negative number. The weeks are a positive number. So, you get -40 * 6. A negative times a positive number gives you a negative number for an answer.
Write down the value of 2b - 4a PLEASE HELP
Answers
Answer:
[tex]2b - 4a \\ = (b - 2a)[/tex]
Hope you understand
Answer:
[tex]\Large \boxed{2(-2a+b)}[/tex]
Step-by-step explanation:
[tex]2b - 4a[/tex]
Rearranging the expression.
[tex]-4a+2b[/tex]
Factoring out 2 from the expression.
[tex]2(-2a)+2(b)[/tex]
[tex]2(-2a+b)[/tex]
I NEED THIS ANSWER ASAP PLEASE!!!!!! John painted his most famous work in his country, in 1930 on composition board with perimeter 104.58 in. If the rectangular painting is 5.88 in. taller than it is wide, find the dimensions of the painting. What is the width? What is the length? (I need the correct Unit as well
Answers
Answer:
width=23.205 in.
length=29.085 in.
Step-by-step explanation:
width=x
length =x+5.88
Perimter=x+x+x=5.88+x+5.88=104.58
4x+11.76=104.58
4x=104.58-11.76
4x=92.82
x=23.205
width=x=23.205 In.
length=x+5.88=23.205+5.88=29.085 in.
The expression 25x2 - 81 can be rewritten as (5x - 9)(5x + 9). (5x - 9) is a ____ of 25x2 - 81. A) divisor B) factor C) multiple D) zero
Answers
The method (a^2-b^2) is considered as one of the many ways of factorisation.
Hope this can help.
Three points are colinear.
always
sometimes
never
Answers
Roxanne's Cafe uses 5/6 of a bag of coffee every day. How many days will 5 5/6 bags of coffee last?
Answers
Answer:
7 days
Step-by-step explanation:
If you are using [tex]\frac{5}{6}[/tex] of a bag of coffee per day, and you have [tex]5 \frac{5}{6}[/tex] bags of coffee, you want to find how many times [tex]\frac{5}{6}[/tex] goes into [tex]5 \frac{5}{6}[/tex].
This can be found using division.
First let's convert [tex]5 \frac{5}{6}[/tex] into an improper fraction:
[tex]5 \frac{5}{6} = \frac{(6\cdot5) + 5}{6} = \frac{35}{6}[/tex]
Now we set up our division equation:
[tex]\frac{35}{6} \div \frac{5}{6}[/tex]
To divide, we multiply by the reciprocal, so:
[tex]\frac{35}{6} \div \frac{5}{6} = \frac{35}{6} \cdot \frac{6}{5} = \frac{210}{30}[/tex]
Dividing both the numerator and denominator of [tex]\frac{210}{30}[/tex] by 30 gets us [tex]\frac{7}{1}[/tex], which is just 7.
Hope this helped!
Answer:
7 days or 1 week
Step-by-step explanation:
First, know what the equation is. In this case, it's 5 5/6 divided by 5/6, since you need to divide the amount you have by how much you use every day to find out how many days it will last.
The equation is 5 5/6 ÷ 5/6, but since that is harder to solve, turn the 5 5/6 into an improper fraction: 35/6
Now, just solve 35/6 ÷ 5/6, so this means you have to flip your second number and multiply instead divide when dividing fractions, so the new equation is 35/6 ×6/5
That equals 210/30, and if you take out both the 0s (cancel them out), you get 21/3 and after simplifying that, you get 7/1, which is basically 7.
Roxanne's Cafe's coffee can last them 7 days or 1 week.
Cuál es la distancia de 2 -6
Answers
Answer:
la respuesta seria 8
Step-by-step explanation:
Espero que esto ayude!
Find g (x)-f(x) g(x)=x^2+1 and f(x)=2x+5
Answers
Answer:
Step-by-step explanation:
x^2 + 1 - 2x - 5 = x^2 - 2x - 4
complete the division problem by determining the number that should be placed in the Box! (answer asap plz)
Answers
Ans:520
This is due to to the remainder exceeding the
amount divided thus needing the 2nd part to finish of the division
Answer:
598-x=78
x=598-78
=520
-29=5u+6-12u solve for you
Answers
Answer:
u=5
Step-by-step explanation:
5u+6-12u=-29
5u-12u+6=-29
-7u+6=-29
-7u=-29-6
-7u=-35
-7u/-7=-35/-7
u=-35/-7
u=5
Answer:
Step-by-step explanation:
5u - 12u + 6 = -29
-7u + 6 = -29
-7u = -35
u = 5
pls help me i kinda for got how to do this
Answers
Answer:
24 is x=2
Step-by-step explanation:
Jaleel mix 3/8 cup water with 1 5/6 cups of sugar. How many more cups of water than sugar did he use in his mixture
Answers
Answer:
1 11/24
Step-by-step explanation:
Lets convert the fractions into similars. x/8 and x/6 they have 24 in common so its 9/24 and 20/24. Now it is 1 20/24 - 9/24 The answer therefore is 1 11/24
Please give brainliest
Which of the following is equal to 393,500? 0.3935 × 10 -6 39.35 × 10 -4 3.935 × 10 -5 3.935 × 10 5
Answers
Answer:
No answer is equal to 393,500
Step-by-step explanation:
You can try to solve each question.
0.3935 × 10 -6 = -2.065
39.35 × 10 -4 = 389.5
3.935 × 10 -5 = 34.35
3.935 × 10 +5 = 44.35
None of these equal to 393,500
(Maybe I am getting things wrong I am not in a smart mood today)
A student is taking a science course in which there will be four test, each worth 100 point. The student has a score of 91, 93, and 95 on the first three test. The student must make a total of at least 360 in order to get an A. What scores on the test will give the student an A.
Answers
Answer: 81 is the answer but it says what scores so you might be able to put 81 and above for example 82 83 84 and so on.
Step-by-step explanation:
If you add 91 93 and 95 you should get 279 then subtract 279 from 360 which will get u the answer which is 81 simple right now please giva a thanks like and rating if you found this helpful.