Answer:
Hence, the surface area of cone is:
282.6 cm^2 which is approx 283 cm^2.
Step-by-step explanation:
We are given:
i.e. r=5 cm.
i.e. h=12 cm.
i.e. l=13 cm.
Now we know that the surface area(S.A.) of cone is given by:
Hence by putting the value of l,r and π in the formula we get:
Hence the surface area of cone is 282.6 cm^2 which is approx 283 cm^2.
Answer: of the mural is sky blue.
Step-by-step explanation:
Let x be the full portion of mural.
Since, of mural is painted in shades of blue.
Therefore, the blue portion=
Also, Three eighths of the blue area is sky blue.
Therefore, the portion of the mural is sky blue=
The portion of the mural is sky blue=
Simplify, by dividing numerator and denominator by 4, we get
The portion of the mural is sky blue=
Answer:
And we can find this probability with the complement rule:
Step-by-step explanation:
Previous concepts
Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".
The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".
Solution to the problem
Let X the random variable that represent the disagreements of a population, and for this case we know the distribution for X is given by:
Where and
We are interested on this probability
And the best way to solve this problem is using the normal standard distribution and the z score given by:
If we apply this formula to our probability we got this:
And we can find this probability with the complement rule:
Answer:
The length of the other leg is
Step-by-step explanation:
I will assume that the triangle is a right triangle
In a right triangle the legs are perpendicular
so
The area of a right triangle is equal to
where
a and b are the legs of the triangle
In this problem we have
substitute the values