The volume of the cone is a. 7,560 cm³.
Step-by-step explanation:
Step 1:
The volume of a cone is determined by multiplying with π, the square of the radius (r²) and height (h).
Here we substitute π as 3.1415.
The volume of the cone
Step 2:
The diameter of the cone is 38 cm so the radius is 19 cm. The height is 20 cm.
The volume of the cone
The volume of the cone =
The volume of the cone is 7,560.5433 cm³ which if rounded off is equal to option a.
The midpoint of the line segment can be determined by taking the average of each component. In this case,
x-component/ abscissa(1 + -3 ) /2 = -1 y-component / ordinate(2 + 6 ) /2 = 4
hence the midpoint of the line segment is at (-1 , 4)
Answer:
18
Step-by-step explanation:
first solve substitute the givens, then solve (-2)² = 4
it will be √4+12 = √16 + |14|
√16=4.....and when you take out 14 from the absolute value it will remain the same soooooo
4+14=18
To compute how many groups of elements we can extract out of a group of elements, we can use the binomial coefficient:
where the factorial is defined as
So, this is the number of possible quintuplet out of 50 numbers:
Similarly, this is the number of possible groups of six numbers out of 60:
So, you win with a combination out of 2118760 in state A, and with a combination every 50063860 in state B this means that winning in state A is easier with a ratio of
Whichi means that winning in state B is 23 times harder
Answer:
345
Step-by-step explanation:
The velocity of a car over five hours is given by:
And we want to find the total distance traveled from <em>t</em> = 0 to <em>t</em> = 5.
Recall that distance is the integral of the absolute value of the velocity function. Since we want to find the total distance traveled from <em>t</em> = 0 to <em>t</em> = 5, our limits of integration are <em>t</em> = 0 and <em>t</em> = 5. Hence:
Since v(t) ≥ 0 for all <em>t </em>in the interval [1, 5], we can remove the absolute value. Use a calculator: