Find the area of the following shape, given its curves are made from parts of circles with diameters indicated on the diagram. G
ive your answers in terms of π .
1 answer:
Answer: Area = 26π + 20 cm²
<u>Step-by-step explanation:</u>
There are 2 large semicircles = 1 large circle
There are 2 small semicircles = 1 small circle
There is 1 rectangle.
Find the Area of each shape above and then find their sum.
1) Large Circle: A = πr², d = 10 --> r = 10/2 = 5
A = π(5)²
= 25π
2) Small Circle: A = πr² , d = 2 --> r = 2/2 = 1
A = π(1)²
= π
3) Rectangle: A = length × width, L = 10 w = 2
A = 10 × 2
= 20
Total = Large + Small + Rectangle
= 25π + π + 20
= 26π + 20
You might be interested in
Answer:
0.7061 = 70.61% probability she will have her first crash within the first 30 races she runs this season
Step-by-step explanation:
For each race, there are only two possible outcomes. Either the person has a crash, or the person does not. The probability of having a crash during a race is independent of whether there was a crash in any other race. This means that the binomial probability distribution is used to solve this question.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.
In which is the number of different combinations of x objects from a set of n elements, given by the following formula.
And p is the probability of X happening.
A certain performer has an independent .04 probability of a crash in each race.
This means that
a) What is the probability she will have her first crash within the first 30 races she runs this season
This is:
When
We have that:
0.7061 = 70.61% probability she will have her first crash within the first 30 races she runs this season