Answer:
The volume of a cylinder must be multiplied by 1/3 or divided by 3 to get the volume of a cone
Step-by-step explanation:
Volumes
Given a cylinder of radius r and height h, its volume is calculated with the formula:
[tex]\displaystyle V_{cy}=\pi r^2h[/tex]
On the other hand, the volume of a cone with the same dimensions is:
[tex]\displaystyle V_{co}=\frac{1}{3}\pi r^2h[/tex]
The ratio between them is:
[tex]\displaystyle \frac{V_{co}}{V_{cy}}=\frac{ \frac{1}{3}\pi r^2h}{ \pi r^2h}[/tex]
Simplifying:
[tex]\displaystyle \frac{V_{co}}{V_{cy}}=\frac{1}{3}[/tex]
Cross-multiplying:
[tex]\displaystyle V_{co}=\frac{1}{3}V_{cy}[/tex]
The volume of a cylinder must be multiplied by 1/3 or divided by 3 to get the volume of a cone
Am I aloud to have head pats and cuddlies from anyone? ^^
Signed~ Deku <3 <3
Answer:Ya <3
Step-by-step explanation:
A chef cooked 6 kilograms of mashed potatoes for a dinner party. If the guests only ate
2/10 of the amount he cooked, how much did they eat?
Answer:
ee
Step-by-step explanation:
e
Arlene set up tables for a dinner. She put 6 chairs at each table. If t represents the number of tables Alrene set up, which equation could be used to find c, the number of chairs Arlene used?
Answer:
6t = c
Step-by-step explanation:
If there are six chairs per table, you need to find how many tables there are, after that, then you can find how many chairs you need.
What is the volume of a hemisphere with a diameter of 9.9 cm, rounded to the nearest tenth of a cubic centimeter?
9514 1404 393
Answer:
254.0 cm³
Step-by-step explanation:
The formula for the volume of a sphere in terms of its radius is ...
V = (4/3)πr³
Then the formula for the volume of a hemisphere in terms of its diameter is ...
V = (1/2)(4/3)π(d/2)³ = (π/12)d³
The volume of the hemisphere is ...
V = (π/12)(9.9 cm)³ ≈ 254.024 cm³
The volume is about 254.0 cm³.
If the simple interest on $4000 for years is $3600, then what is the interest rate?
Answer:
90%
Step-by-step explanation:
Teresa finished her math test in 3/4 hour. Lamar finished his test in 2/3 hour.in how less time did Lamar finish his test compared to Teresa?
Answer:
5 minutes or 1/12 of an hour.
Step-by-step explanation:
3/4 of an hour is 45 minutes.
2/3 of an hour is 40 minutes.
45-40 = 5 minutes or 1/12 of an hour.
If four lines are extended, which system would have only one solution
Answer:
3rd one
Step-by-step explanation:
find the slope of the line that passes through 8,4 and 3,1
Step-by-step explanation:
dy = the change in y-values = 1–4 = –3
dx = the change in x-values = 3–8 = –5
m = Dy/Dx = (–3)/(–5)
m = ⅗
Learn with an example
A line's slope is 6, and its y-intercept is -2. What is its equation in slope-intercept form?
Write your answer using integers, proper fractions, and improper fractions in simplest form.
y =
X -
Answer:
y = 6x - 2
Step-by-step explanation:
Given that , A line's slope is 6, and its y-intercept is -2. And we need to write the equation in slope intercept form. We know slope intercept form as,
y = mx + C
Where ,
m is the slope .c is y intercept.Hence here , on substituting the respective values , we have
⇒ y = mx + C
⇒ y = 6(x) + (-2)
⇒ y = 6x -2
Hence the slope intercept form of the equation is y = 6x - 2.Note :-
Graph of y = 6x - 2 is in attachment.WILL GIVE BRAINLIEST PLEASE I NEED HELP
The numbers on the left are the x values because the arrows are pointing away from them. The numbers in the right are the y values. Match the y value with the x value that the arrows are pointing from.
-2,-5 , -2,7 , 1,0 , 5,4 , 7, 0
The answer is C.
A parabola can be drawn given a focus of (4, -3) and a directrix of y=5 Write the equation of the parabola in any form.
Answer:
The equation of the parabola is (x - 4)² = -16(y - 1)
Step-by-step explanation:
The standard form of the equation of the parabola is (x - h)² = 4p(y - k), where
The vertex of the parabola is (h, k)The focus is (h, k + p)The directrix is at y = k - p∵ The focus of the parabola is (4, -3)
∵ The focus is (h, k + p)
∴ h = 4
∴ k + p = -3 ⇒ (1)
∵ It has a directrix of y = 5
∵ The directrix of the parabola is y = k - p
∴ k - p = 5 ⇒ (2)
→ Add equations (1) and (2) to find k and p
∵ (k + k) + (p - p) = (-3 + 5)
∴ 2k + 0 = 2
∴ 2k = 2
→ Divide both sides by 2
∴ k = 1
→ Substitute the value of k in equation (1)
∵ 1 + p = -3
→ Subtract 1 from both sides
∴ 1 - 1 + p = -3 - 1
∴ p = -4
∵ The form of the equation of the parabola is (x - h)² = 4p(y - k)
→ Substitute the values of h, k, p in it
∴ (x - 4)² = 4(-4)(y - 1)
∴ (x - 4)² = -16(y - 1)
∴ The equation of the parabola is (x - 4)² = -16(y - 1)
The greatest common factor of each term in the expression 60ab- 72b is 12b. Which choice shows the expression written as a product?
A. 12b(5ab - 6b)
B. 12b(5a - 6)
C. 12b(48a - 60)
D. 12b(48ab - 60b)
Answer:
b
Step-by-step explanation:
I need these done within 2 hours. Brainliest for best answers if multiple answers.
Answer:
(going down rows starting on the left)
1. 3^12 2. 3^8 3. 3^2 4. 2^6 5. a^2 6. 2^8 7. a^7 8. 2^7 9. a^6 10. a^4 11. 3^4 12. 3^6 13. 2^5 14. 2^10 15. 3^7 16. a^5 17. 3^12 18.3^5 19. 2^9 20. a^10
Step-by-step explanation:
Simply add together the exponents
please help, would be greatful
Answer:
8.2 cm
Step-by-step explanation:
[tex] \cos \: 47 \degree = \frac{h}{12} \\ \\ h = 12 \cos \:47 \degree \\ \\ h = 12 \times 0.6819983601 \\ \\ h = 8.18398032 \\ \\ h \approx \: 8.2 \: cm[/tex]
please help me ill give brainlest
Answer:
(0,0) and (2,8)
Step-by-step explanation:
find m
pleaseeeeeeee hellppp
Answer:
maybe 95?
Step-by-step explanation:
Answer:
B or A but mainly B
Step-by-step explanation:
find x when y is 90 rule y=12x + 54
Answer: x= 3
Step-by-step explanation:
Answer:
x=3
Step-by-step explanation:
So the equation is 90=12x+54. You get x by itself. To do that you subtract 54 from 90. You get 36. Then you divide.
Ms. Forte’s class is studying plants. 3 students want to share a packet of 14 seeds equally. What is each child’s share?
you have 78 as ur answerrr
Answer:
Step-by-step explanation:
14/3=[tex]4\frac{2}{3}[/tex]
Hope this helps :)
please help, would be greatful!
Answer:
8.2 cm
Step-by-step explanation:
[tex] \cos \: 47 \degree = \frac{h}{12} \\ \\ h = 12 \cos \:47 \degree \\ \\ h = 12 \times 0.6819983601 \\ \\ h = 8.18398032 \\ \\ h \approx \: 8.2 \: cm[/tex]
Mai's family drink a total of 10 gallons of milk every 6 weeks. How many weeks does it take the family to consume 3 gallons of milk?
Answer:
1.8 weeks
Step-by-step explanation:
The number of weeks it takes for consuming the 3 gallons of milk is as follows:
It is given that the total of 10 gallons of milk drink for every 6 week i.e. 5 by 3
Now in order to determine the weeks we have to reciprocal the ratio i.e. 3 by 5
Now for 3 gallons it would be
[tex]= \frac{3}{5}\times 3[/tex]
= 1.8 weeks
MATH HELP!! MARKING BRAINLISEST!! :DD
Answer:
3
Step-by-step explanation:
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Answer:
3, -1
Step-by-step explanation:
The slope formula is ...
[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]
The values are shown filled in for y2 and y1. The green box is highlighting the location for x2, which the image shows is 3. When completed, the formula will be ...
[tex]m=\dfrac{0-\,-2}{3-\,-1}[/tex]
The first blank shown is filled with x2 = 3.
The second blank shown is filled with x1 = -1.
3. Lin is shopping for a couch with her dad and hears him ask the salesperson, "How much is your commission?" The salesperson says that her commission is LaTeX: 5\frac12\%5 1 2 % of the selling price. How much commission will the salesperson earn by selling a couch for $495? How much money will the store get from the sale of the couch?
Answer:
i. Salesperson's commission = $27.225
ii. Amount for the store = $467.775
Step-by-step explanation:
The commission of the salesperson = [tex]5\frac12\%[/tex] of selling price
Price of a couch = $495
Salesperson's commission = [tex]5\frac12\%[/tex] of $495
= [tex]\frac{11}{200}[/tex] x 495
= 27.225
Salesperson's commission = $27.225
Amount that the store would get from the sale = selling price - commission
= $495 - $27.225
= $467.775
The store would get $467.775 from the sale of the couch.
.John has $40. He will use some of the money to buy books, and he wants to have at least $10 left to put in his savings account. Each book costs $6. A. Write an inequality to represent this story, using b to represent the number of books John buys. B. Solve the inequality, showing each step of your work. C. In complete sentences, explain what the solution means in the context of the story
Answer:
The required inequality is [tex]40-6b\leq 10[/tex].
Jhon can buy at most 5 books.
Step-by-step explanation:
Consider the provided information.
Part(A)
Let b represent the number of books John buys.
He wants at least $10 in his savings account which means if we subtract the cost of books from $40 we have at least $10 left.
[tex]40-6b\leq 10[/tex]
The required inequality is [tex]40-6b\leq 10[/tex].
Part(B)
[tex]40-6b\leq 10[/tex]
[tex]-6b\leq 10-40[/tex]
[tex]b \leq\frac{30}{6}[/tex]
[tex]b\leq 5[/tex]
Part(C): Jhon can buy at most 5 books.
The ratio of the measures of the angles in angles JKH is 2:3:4.
Answer:
J=40º, K=60º, H=80º
Step-by-step explanation:
since all angles of a triangle add up to 180º, we can make an eqaution.
3x+2x+4x=180
9x=180
x=20
J=2x=20x2=40º
K=3x=20x3=60º
H=4x=20x4=80º
The area of the square is 100 square centimeters. What is its perimeter
Answer:
200
Step-by-step explanation:
200
Answer: 40 c
Step-by-step explanation:
You and your friend skate at the same rate. You complete 8 laps in 13 minutes. How long does your friend take to complete 16 laps?
giving 20 points pls help me asap
Answer:
fishy camera
Step-by-step explanation:
most distance in feet from surface
The fish camera is furthest from the surface of the water.
6x+4)+(4x+6) find the value of x
Answer: x equals 10x + 10
A and B are two cylinders that are mathematically similar.
The area of the cross-section
of cylinder A is 18 cm?
18 cm?
B
10 cm
А
5 cm
Work out the volume of cylinder B.
Answer:
Volume of B is 360 [tex]cm^{3}[/tex]
Step-by-step explanation:
It can be observed in the question that the dimensions of cylinder B are twice the dimensions of cylinder A, since both are similar.
Height of B = 2 x height of A
= 2 x 5
= 10 cm
cross sectional area of B = 2 x cross sectional area of A
= 2 x 18
= 36 [tex]cm^{2}[/tex]
Thus,
Volume of B = cross sectional area x height
= 36 x 10
= 360 [tex]cm^{3}[/tex]
Volume of B is 360 [tex]cm^{3}[/tex].
Question in image
Show ur work
Answer:
x= -1/3
Step-by-step explanation:
In the picture attached. if still doubting the answer, check by Substituing the value of x in the equation given.
The required solution to the given equation -3.1x + 7 - 7.4x = 1.5x - 6(x -3/2) is x = -1/3.
What is the equation?The equation is defined as mathematical statements that have a minimum of two terms containing variables or numbers that are equal.
The equation is given in the question:
-3.1x + 7 - 7.4x = 1.5x - 6(x -3/2)
Apply the distributive property of multiplication,
-3.1x + 7 - 7.4x = 1.5x - 6x -3 × -3
-3.1x + 7 - 7.4x = 1.5x - 6x + 9
Rearrange the like-wise terms and apply the arithmetic operation,
-3.1x - 1.5x + 6x - 7.4x = -7 + 9
-6x = 2
x = -2/6
Apply the division operation,
x = -1/3
Thus, the required solution to the given equation -3.1x + 7 - 7.4x = 1.5x - 6(x -3/2) is x = -1/3.
Learn more about the equation here:
brainly.com/question/10413253
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