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:
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)
What is the slope of a line that passes through the points. (-2, 3) and (4, -12)?
-3/2
-2/5
-5/2
-9/2
Answer:
5/2
Step-by-step explanation:
5/2
What is the probability that a shipment of 100 pineapples will have no more than 6 rotten pineapples if the probability that any one pineapple is rotten is 0.04?
Answer:
Try the won which is 0.10
Step-by-step explanation:
please help me asap i need it
Answer:
j) y=2/5x-1
Step-by-step explanation:
you can use desmos graphing calculator to help you on questions like these, all you gotta do is input each answer and you get a visual representation of what they look like. Hope this helps!
Answer:
the Answer is the fourth choice, J
A country's budget had a surplus of $250 billion in the year 2000. in 2004 , the budget had $447 billion. fund the difference between these amounts
Answer: $197 Billion
Step-by-step explanation: To find the difference between the two amounts, you simply subtract them! In this case, 447 - 250 = 197. Hope this helps!
Convert 14/3 into a mixed number
Answer:
4 2/3
Step-by-step explanation: the four is on the side and 2 is over 3
Answer:
4 and 2/3
Step-by-step explanation:
3/3= 1 whole
14/3 - 3/3 =11/3 - 3/3= 8/3 - 3/3= 5/3 - 3/3= 2/3
No more 3/3, or 1 whole, can be subtracted, so you add the number of 3/3, or 1 whole, that you subtracted, which adds up to 4 wholes, and then you add the 2/3, which would equal 4 and 2/3.
Water's strong hydrogen bonds result in which physical properties? Check all that apply.
A. high boiling point
B. low boiling point
C. high specific heat
D. low specific heat
E. density of ice being less than that of liquid water
F. density of ice being greater than that of liquid water
Answer:
1,3,5
Step-by-step explanation:
Got it right
Can someone Please help!!!!
BRAINLY for correct answer!
Answer:
i belive 11 and 1 sorry if it is not right
Step-by-step explanation:
(3x+23)+(7x-4)+(9x-6)+95=540
Answer:
432/19 should be the answer?
Answer:
x = 22.7
Step-by-step explanation:
(3x + 23) + (7x - 4) + (9x - 6) + 95 = 540
combine all like terms
19x + 108 = 540
solve
subtract 108 from both sides
19x = 432
divide 19 from both sides
x = 22.7
hope this helps!
please mark brainliest if correct:)
What is the scale factor of ABC to AXYZ?
B
35°
36
27
48"
48°
96"
96
A
21
C
0
A. 2
ов.
c. Ž
O O
D. 3
SUBMIT
The value of scale factor of triangles ABC to XYZ would be,
⇒ 3
What is mean by Triangle?A triangle is a three sided polygon, which has three vertices and three angles which has the sum 180 degrees.
We have to given that;
To find scale factor of triangles ABC to XYZ.
Now, We can formulate;
scale factor of triangles ABC to XYZ is,
= AB / XY
= 27 / 9
= 3
Thus, The value of scale factor of triangles ABC to XYZ would be,
⇒ 3
Learn more about the triangle visit;
brainly.com/question/1058720
#SPJ7
Please help ASAP Explanation is appreciated!
Answer:
x=20, y=100
Step-by-step explanation:
3x+2x=7x-40
5x=7x-40
2x=40
x=20
7x-40=y
140-40=y
100=y
y=100
According to the exterior angle theorem, the two remote interior angles are equal to the exterior angle. This is why we set 3x+2x equal to 7x-40.
According to the vertical angles theorem, two angles that are opposite and formed by two intersecting straight lines are equal. This is why we set 7x-40 equal to y.
Because we already knew that x was 20, we could put it into our equation. (7*20)-40=y.
Hope this helped! :D
Plz I need help with these two
Answer:
x<=2
11>=x
Step-by-step explanation:
x+14<=16
x<=2
A researcher is dividing a sample with a mass of 9.2 * 10 ^ - 3 grams into smaller samples with a mass of 2.3 * 10 ^ - 4 grams . How many smaller samples will she be able to make?
Answer: C) 400
Step-by-step explanation:
Pencils cost 2 dollars each.
Rulers cost 3 dollars each.
Edith buys p pencils and r rulers.
The total cost is T dollars.
Write down a formula for Tin terms of p and r.
(3 marks)
1. Given the triangle below, what is the value of sin 8
?
12
6
ก
65
Answer:
2
Step-by-step explanation:
bc
Answer:
(2/5)√5
Step-by-step explanation:
from the sine rule (see attached for reference), we can construct the following relationship
12/sinθ = (6√5) / sin 90°
recall that sin 90° = 1, hence our equation becomes:
12/sinθ = (6√5) / 1
12/sinθ = (6√5) (rearranging)
12 ÷ (6√5) = sin θ
sin θ = 12 / (6√5)
sin θ = 2 / √5 (moving radical to numerator by multiplying by √5/√5)
= 2 / √5 x √5/√5
= 2√5 / 5
= (2/5)√5
1/4kg of flour with 2/9kg of suger how much all togather
Answer:
17/36
Step-by-step explanation:
Z- 6.3 = 2.1
Solve the equation
Answer:
Z = 8.4
Step-by-step explanation:
Jusg move 6.3 behind
When something negative moves behind it becomes positive
So 2.1 plus 6.3 is 8.4
Answer:
Z=8.4
Step-by-step explanation:
1. Add 6.3 to both sides.
Z =2.1+6.3
2.Simplify 2.1+6.3 to 8.4
Z=8.4
--------------------------(Checking answer)
Z−6.3=2.1
1. Let Z=8.4
8.4-6.3=2.1
2. Simplify 8.4-6.3 to 2.1
2.1=2.1
how do I increase 36 by 40%
Take 36 multiplied by 1,4
[tex]36 \times 1.4 = 50.4[/tex]
I really really really really really really really really need help please help
Answer:
129 degrees
Step-by-step explanation:
One circle is 360 degrees, so add up all the degrees, including x:
35 + 55 + 141 + x = 360
231 + x = 360
x = 360 - 231
x = 129 degrees
Daidrion runs 10 laps around a track in 8 minutes How many minutes per lap is that?
Answer:
1 lap in 4/5 minute.
Step-by-step explanation:
10/8=1/x
cross product
simplify 10/8 into 5/4
5/4=1/x
cross product
4*1=5*x
4=5x
x=4/5
What is 96 divided by 7 please help is is due by midnight
Answer:
13.7142857143
Step-by-step explanation:
so just 13
What quadrilateral has one diagonal bisected y the other.
Answer:
kite
A quadrilateral is a kite if: one diagonal bisects the vertex angles through which it passes, or. one diagonal is the perpendicular bisector of the other diagonal.
Step-by-step explanation:
not %sure
PLEASE PLEASE HELP I will fail if I don't get this in 4 mins
Answer:
A: input: 10,450; output: 270
B: 10450 - 270x
C: 7750
Step-by-step explanation:
C: 10450 - 270x
10450 - 270(10)
10450 - 2700
7750
Select ALL expressions that are equivalent to 5x−3x−8+4+2x
Answer:
Where the picture of your work?
The answer is 4 (x-1)
Dan spent $765.00 on equipment to open a business selling burritos. He sells the burritos for $3.50 each. The cost of the ingredients to make each burrito is $0.75
can someone answer this please
Andre is planting saplings (baby trees). It takes him 30 minutes to plant 3 saplings. If each sapling takes the same amount of time to plant, how long will it take Andre to plant 14 saplings? If you get stuck, consider using the table.
Answer:
140 minutes
Step-by-step explanation:
If it takes him 30 mins to plant three, then 30 divided into three equal groups is 10. Then we multiply 14 and 10 together since it takes Andre ten minutes to plant each sapling. This means that the 14 saplings takes ten minutes EACH to plant.
Answer: 140
Step-by-step explanation:
i got it right
Please help. ㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤ
Answer:
try 36?
Step-by-step explanation:
What operation does 6y represent?
Multiplication
Subtraction
Addition
Division
Answer:
multiplication
Step-by-step explanation:
whenever a number and a variable are together it means they are being multiplied together
Answer:
6y represents Multiplication.
Students in a large district's two high schools are offered a "Second Breakfast' program after their first-period class.
The district's nutrition manager is interested in determining if the program is effective. He takes two independent
random samples of days from the previous years, 20 from high school A and 15 from high school B, and calculates
the mean amount of money, in dollars spent for the program. Which of the following statements concerning the
variability of the sampling distribution of the sample mean is correct?
Answer:
A
Step-by-step explanation:
Random samples of days from the previous years, 20 from high school A and 15 from high school B, and calculates
What is the Nutrition?
Nutrition is the study of food and how it works in your body. Nutrition includes all the stuff that's in your food, such as vitamins, protein, fat, and more. It's important to eat a variety of foods, including fruits, vegetables, dairy products, and grains, so you have what you need to grow and be healthy.
How to determine?Students in a large district's two high schools are offered a "Second Breakfast' program after their first-period class.
Random samples of days from the previous years, 20 from high school A and 15 from high school B, and calculates
Learn more about Nutrition:
https://brainly.com/question/26750988
#SPJ2