We have to find the" ratio of the area of sector ABC to the area of sector DBE".
Now,
the general formula for the area of sector is
Area of sector= 1/2 r²θ
where r is the radius and θ is the central angle in radian.
180°= π rad
1° = π/180 rad
For sector ABC, area= 1/2 (2r)²(β°)
= 1/2 *4r²*(π/180 β)
= 2r²(π/180 β)
For sector DBE, area= 1/2 (r)²(3β°)
= 1/2 *r²*3(π/180 β)
= 3/2 r²(π/180 β)
Now ratio,
Area of sector ABC/Area of sector DBE =
= 4/3
Answer:
is equivalent to 
Step-by-step explanation:
Using exponent rules:

Given the expression:

⇒
Apply the exponent rule, we have;

Therefore, the given expression
is equivalent to 
Answer:

Step-by-step explanation:
From the given information;
the probability of getting returned p = 0.1
If eight rings are sold today, what is the probability that fewer than three will be returned;
According to binomial distribution
Binomial distribution is the probability of success or failure of an outcome of an experiment under observation which is usually repeated several trials. Binomial experiments are random experiment with fixed number of repeated experiment. If we cannot predict before head, the outcome of an experiment , the experiment is called a random experiment.
So , using binomial distribution to determine the probability that fewer than three will be returned;
i.e


Answer:
Given that,
My cupcake recipe makes $12$ cupcakes and requires $1\frac12$ sticks of butter. I can only buy whole sticks of butter.
Therefore, 1 whole sticks of butter is enough to make $100$ cupcakes.
Answer: 0.6 cm
Step-by-step explanation:
Given : Over the past 4 years, Grandpa Ernie's height decreased by a total of 2.4 cm.
If the height is decreased by the same amount each year.
Then, the change in Grandpa Ernie's height each year will be =
Total decrease in height ÷ 4
= 2.4 cm ÷ 4 = 0.6 cm
Hence, the change in Grandpa Ernie's height each year = 0.6 cm