What is the volume of the item described? An ice cream cone with a cone of radius 2 cm and height of 9 cm with a hemisphere of i
1 answer:
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Answer:
Three-fifths
Step-by-step explanation:
The picture of the question in the attached figure
we know that
The probability that a randomly chosen point on the grid below is in the blue area is equal to dividing the number of blue squares by the total number of squares
Let
x -----> the number of blue squares
y ----> the total number of squares
so
we have
substitute
simplify
therefore
Three-fifths
<u>Given</u>:
Given that the measure of the exterior angle F is 142°
We need to determine the measure of ∠DFE
<u>Measure of ∠DFE:</u>
The ∠DFE and the exterior angle F are linear pairs.
Thus, the linear pair of angles add up to 180°
Hence, we have;
Subtracting both sides of the equation by 142, we get;
Hence, the measure of ∠DFE is 38°
Thus, Option a is the correct answer.
Answer:
There are 4,148,350,734,528 ways
Step-by-step explanation:
We have
- 44 senators which are Demonstrators.
- 56 senators which are Repudiators.
(a) How many ways are there to select a committee of 10 senate members with the same number of Demonstrators and Repudiators?
We want to choose 5 Demonstrators and 5 Repudiators. The number of ways to do this is and
respectively. Therefore, the number of ways to select the committee is given by:
(b) Suppose that each party must select a speaker and a vice speaker. How many ways are there for the two speakers and two vice speakers to be selected?
- <u>If the speaker and vice speaker are chosen between all senators:</u> In this case, the answer will be
This is because there are (in the case of Demonstrators) 44 possibilities to choose an speaker and after choosing one, there would be 43 possibilities to choose a vice speaker. The same situation happens in the case of Repudiators.
- <u>If the speaker and vice speaker are chosen between the committee:</u> In this case, the answer will be
.