The volume of clay used to build a cylindrical pillar with a height of 9 centimeters is 324π cubic centimeters. The area of the
2 answers:
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Answer:
Part A:
Part B. All angles are same, so the triangles are similar.
Part C. RP = 8
Step-by-step explanation:
We are given a right angled triangle with
.
PS is perpendicular to the hypotenuse RQ of and S lies on RQ.
Part A:
To identify the pair of similar triangles.
.
Part B:
To identify the type of similarity.
Kindly refer to the image attached in the answer area.
Let us consider the triangles .
Also, is common to both the triangles under consideration.
Now, we can see that two angles of two triangles are equal.
So, third angle of the two triangles will also be same.
i.e. All three angles of two triangles are equal to each other.
So, by A-A-A (Angle - Angle - Angle) similarity, we can say that .
Part C:
RS = 4
RQ = 16, Find RP.
There is one property of similar triangles that:
The ratio of corresponding sides of two similar triangles is equal.
i.e.
Answer:
P = 0.0215 = 2.15%
Step-by-step explanation:
First we need to convert the values of 900 and 975 to standard scores using the equation:
Where z is the standard value, x is the original value, is the mean and
is the standard deviation. So we have that:
standard value of 900:
standard value of 975:
Now, we just need to look at the standard distribution table (z-table) for the values of z = 2 and z = 3:
z = 2 -> p_2 = 0.9772
z = 3 -> p_3 = 0.9987
We want the interval between 900 and 975 hours, so we need the interval between z = 2 and z = 3, so we just need to subtract their p-values:
P = p_3 - p_2 = 0.9987 - 0.9772 = 0.0215
So the probability is 0.0215 = 2.15%