Answer: 20/x
Step-by-step explanation:
The probability that a grain of rice dropped onto the circles at random lands outside the circle with the 4-cm radius and inside the circle with a radius of 8 cm is
or 75%.
Step-by-step explanation:
Step 1:
First, we need to calculate the areas of both circles.
The area of a circle
where r is the radius of the circle.
The inner-circle has a radius of 4 cm.
The area of the inner circle
The outer circle has an inner radius of 4 cm and an outer radius of 8 cm.
So its area is
where R is the outer radius and r is the inner radius.
The area of the outer circle

So the inner circle has an area of 50.264 square cm and the outer circle has an area of 150.792 square cm.
Step 2:
To find the probability of an event we divide the number of favorable outcomes by the total number of outcomes.
The total number of outcomes is the area of the entire circle
square cm.
The number of favorable outcomes is the area of the outer circle i.e. 150.792 square cm.
The probability of the rice falling in the outer circle
.
The missing exponent is -3. The exponent on the x variable only applies to x, so with that in mind, only x is in the denominator. This means that its exponent needs to be a negative. A negative exponent flips its base to the reciprocal making x into 1/x. When multiplying only an exponent, you multiply the two exponents. For example: (y^4)^2 = y^8. 2 times 3 is 6.
The missing exponent is -3. A negative exponent flips the base to its reciprocal making 2x/3 into 3/2x, and 3^3 is 27. The same applies to 2x. (2x)^3 is 8x^3.
The other one’s missing exponent is 2. As, mention before, a negative exponent results in flipping the base to its reciprocal making 1/3 into 3. 3^3 is 27. You can figure out which exponent make 3 into 9 which is 2.
Hope this helped.
The height and radius that will give us the smallest amount of paper, should have should have the perfect dimension, in that the diameter should be equal to the height. thus let the diameter be x, the height will be x and the radius will be x/2
thus the volume of the cone will be:
V=1/3πr^2h
=1/3*π*(x/2)^2*x
=0.262x^3
hence the value of x will be:
33=0.262x^3
x^3=125.95
x=(125.95)^(1/3)
x=5.0126=5.01 cm
thus the diameter=height=5.01cm
Answer:
$33.25
this is your answer because you multiply $4.75 times 7 friends and get a total of $33.25