This is the concept of graphs and volume of the solid figures, given that the triangle J,K,L was rotated along the x-axis, the resultant figure was cone with with radius of 5 units and a height of 4 units;
The volume of a cone is given by;
V=πr^2(h/3)
r=5 units
h=4 units
V=π*5^2*(4/3)
V=104.72 units^3
the answer is B]
Answer: 125.80 ft
Step-by-step explanation:
Asuming the described situation is as shown in the figure below, we need to find the distance 
between the kite and Jacks house, but first we need to find the 
, 
and then 
.
How?
We will use trigonometry, especifically the trigonometric functions sine and cosine:
For :
(1)
Where is the opposite side to the angle and 
the hypotenuse.
Isolating :
(2)
For :
(3)
Where is the adjacent side to the angle.
Isolating :
(4)
Finding :
(5)
(6)
Now that we have found these values, we have to work with a bigger triangle, where the hypotenuse is the distance between the kite and Jack's house and the sides are the values calculated in (4) and (6).
So, in this case we will use the <u>Pithagorean theorem</u>:
(7)
Isolating and writing with the known values:
(8)
(9)
This is the distance between the kite and the house
-57 if you keep following the pattern
visa cards begin with 4 and then have 13 or 16 digits but here we have a number beginning with 4 and then it has the 15 digits.
<u>Step-by-step explanation:</u>
- Each card has a different first digit number. The maximum length of this type of credit card number can be up to 19 digits.
- In the visa card starting 6 digits are always said to be the issuer identifier.
- The visa cards will have the starting digits as 4 whereas in Mastercard the starting digit is 5 but it has 16 digits numbers.
So, let's start with the basics.
One meter is 100 centimeters. Seeing that we have 60 seconds in a minute, and 60 minutes in an hour. The formula would look like this.
(60*60)4
3600*4 = 14400 centimeters
So then we divide it by 100, and
144 meters
