Answer:
A = 26 ft²
Step-by-step explanation:
To find the area of a circle, use the formula A = πr²
We know π = 3.14 and C = 18.
Use the circumference to find "r". C = 2πr
C = 2πr
18 = 2(3.14)r
18 = 6.28r
r = 18/6.28 Exact answer
r ≈ 2.866 Rounded to three decimal places
You can use either of the two bolded "r" values. I will use the rounded answer in the formula for area.
Substitute π = 3.14 and r = 2.866.
A = πr²
A = (3.14)(2.866)² Solve exponents first
A = 3.14(8.213956) Multiply
A = 25.7918218... Unrounded answer
A ≈ 26 Rounded to nearest square foot
Add the units back in.
<h3>A = 26 ft²</h3>
Answer:
cos(B) = a/c
Step-by-step explanation:
The mnemonic SOH CAH TOA reminds you that ...
Cos = Adjacent/Hypotenuse
The leg adjacent to angle B is "a". The hypotenuse is "c", so the desired cosine is ...
cos(B) = adjacent/hypotenuse = a/c
Answer:
$1000 per month
Step-by-step explanation:
5000 dollars is 100 percent so we put 5000 over 100
5000/100
then since we need to find 20 percent of something, we put x over 20
x/20
Then we cross multiply
<u>5000</u> times <u>x </u>
100 20
so 100x = 100000
and x = 1000
Good luck, and hope I did this correctly
Answer:
f(c) equals zero
Intermediate Value Theorem
Step-by-step explanation:
Intermediate value theorem is one which states that f is a continuous function whose domain contains intervals which are a and b. It takes on any value between f(a) and f(b) at some point within interval. If we know the two values, we can pick any number between those two values and determine its function.
Answer:
Step-by-step explanation:
Given
-- total
--- defective
--- selected
Required
The probability of rejecting the batch
This means that at least one of the selected piece is defected.
So, we first calculate the probability that all the selected piece are accepted.
So, we have:
The denominator decreases by 1 because it is a probability without replacement; 180 is subtracted from the numerator to represent the number of non-defective CDs
So, we have:
Using the complement rule, the probability that the batch will be rejected is:
