Answer:
The answer in the procedure
Step-by-step explanation:
we know that
The lateral area of a cone is equal to

where
r is the radius of the base
l is the slant height
we have


assume 
substitute the values

This value is an underestimate, because the assumed pi value is less than the real value
assumed value 
real value 
Answer:
We want to simplify:
(3 + 1/4)*(3/5)
The first step is to write the first term as a single rational number.
We know that:
3*1 = 3
and 4/4 = 1
then:
3*1 = 3*(4/4) = (3*4)/4 = 12/4
We do this because we want to have the same denominator in both numbers, so we can directly add them.
Then we get:
(3 + 1/4)*(3/5) = (12/4 + 1/4)*(3/5) = (13/4)*(3/5)
And remember that in the multiplication of rational numbers the numerator are multiplied together and the same for the denominators, then we get:
(13/4)*(3/5) = (13*3)/(4*5)
If we solve the multiplications we get:
(13*3)/(4*5) = (39/20)
Now, we can notice that in the numerator we have two prime numbers, 13 and 3.
And in the denominators, we have a 4 (which is equal to 2*2) and a 5.
So the prime numbers in the numerator and the denominator are all different, this means that we can not simplify it furthermore.
Then we have:
(3 + 1/4)*(3/5) = (39/20)
independent event-the occurrence of one event does not affect the probability of the occurrence of another event
compound event-two or more events considered
dependent event-the occurrence of one event affects the probability of the occurrence of another event
Answer:
x = 70.53 degrees
Step-by-step explanation:
equation:
cos-1 = 
⇒ cos-1 x = 
⇒ cos-1 x = 0.33
⇒ x = 70.528
round to the nearest tenth:
⇒ 70.53