A cone has a volume of 36π ft^3. The height of the cone is 12 ft. Find the diameter of the base of the coneRound to one decimal place if necessary.
Answers
Answer: 6 feet
Step-by-step explanation:
Hi, to answer this question we have to apply the next formula:
Volume of a cone= (1/3) π radius² height
Replacing with the values given and solving for r:
36π = (1/3) π r² 12
36π/ [(1/3) π 12]= r²
9 = r²
√9 =r
3 ft = r
Since:
Diameter = 2 x radius
Substituting r=3
D = 2x 3
D = 6 feet
Feel free to ask for more if needed or if you did not understand something.
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Max or min value y=3x^2+6x-5
F f(x) = 0, what is x?0 only–6 only–2, 1, or 3 only–6, –2, 1, or 3 only
- KL = MN
- LN = √(89)
- LH: altitude
- LM = 3
- KN = 13
Find: m∠LKN
See attached image.
Answers
Answer:
45 degrees
Step-by-step explanation:
If KL = MN, and LM =3 and KN = 13, then HN = 13 - (13-3)/2 = 8
LN = sqrt(HN^2 + LH^2) -->
LN = sqrt89 sqrt(8^2 + LH^2) -->
89 = 64 + LH ^2 -->
25 = LH^2 -->
LH = 5
Because HN = 8, HK = 13 - 8 = 5
That makes both legs equal, which makes m∠LKN = 45 degrees
The angle m∠LKN is equal to 45 degrees.
To understand more, check below explanation.
Trapezoid :
It is given that,
KL = MN, LM =3 , KN = 13 and LN
So that, HN = 13 - (13-3)/2 = 13 - 5 = 8
Since, HN = 8. So that, HK = 13 - 8 = 5
In a triangle, if two sides are equal. Then, opposite angle of both sides are also equal.
In triangle LKH, LH = HK = 5 and
So that, m∠LKN = 90/2 = 45 degree.
Hence, the angle m∠LKN is equal to 45 degrees.
Learn more about the trapezoid here:
Answers
Answer:
The coordinates of mage of L(5, 10) will be: (11, 3)
So, the 4th (last) option is correct.
Step-by-step explanation:
As we know that Translation means how much a point is moved to the left/right and up/down.
- Given the translation maps the point J(1, 4) onto K(7, -3).
As the x-coordinate of the image point K(7, -3) is 7 which is 6 units right to the original point J(1, 4).
Also, the y-coordinate of the image point K(7, -3) is -3 which is 7 units down to the original point J(1, 4)
so it means the translation basically implies that
(x, y) → (x + 6, y - 7)
Hence, the coordinate of the image of L(5, 10) can also be determined by
using the same rule.
(x, y) → (5 + 6, 10 - 7) = (11, 3)
Therefore, the coordinates of mage of L(5, 10) will be: (11, 3)
So, the 4th (last) option is correct.
Answers
Answer:
111 cm squared
Step-by-step explanation:
15x 7.4
Answers
Answer:
0.6
Step-by-step explanation:
We are given that 0.6
We have to find the absolute value of 0.6
Absolute value of a number : it is defined as the magnitude of a number .
If a number x
Then, its absolute value is given by
It is always positive because it is distance of a number from zero .
Absolute value of 0.6 is given by
Answers
Answer:
55 minutes
Step-by-step explanation:
Answers
Answer:
Step-by-step explanation:
Events :
{1,1} ;{1,2};{1,3};{1,4};{1,5};{1,6}
{2,1} ;{2,2};{2,3};{2,4};{2,5};{2,6}
{3,1} ;{3,2};{3,3};{3,4};{3,5};{3,6}
{4,1} ;{4,2};{4,3};{4,4};{4,5};{4,6}
{5,1} ;{5,2};{5,3};{5,4};{5,5};{5,6}
{6,1} ;{6,2};{6,3};{6,4};{6,5};{6,6}
Total events = 36
Favorable events = Sum of number less than or equal to 8 with two dice, given that at least one of the dice must show a 6 = {1,6};{2,6};{6,1} ;{6,2} =4
Probability of getting an event =
So, probability of rolling a number less than or equal to 8 with two dice, given that at least one of the dice must show a 6 =
=
Thus , the probability of rolling a number less than or equal to 8 with two dice, given that at least one of the dice must show a 6 is