Assuming number cube has 6 sides
probablity is (desiredoutcomes)/(total possible ouctomes)
since it is 450 times
total possible outcomes=450
experimiental probablity is the one actaully obtained by doing it
theoretical is the predicted amount
so theoretical probablity of rolling a 3 is 1 number out of 6 or 1/6 or 75 times out o 450 times
experimiental is the actaull one so67 out of 450 or 67/450
theoretical is 1/6 or 75/450
experimental is 67/450
Answer:
Part 5.1.1:

Part 5.1.2:

Step-by-step explanation:
We are given that:

Part 5.1.1
Recall that:

Let θ = 2<em>A</em>. Hence:

Square the original equation:

Hence:

Subtract:

Take the square root of both sides:

Since 0° ≤ 2<em>A</em> ≤ 90°, cos(2<em>A</em>) must be positive. Hence:

Part 5.1.2
Recall that:

We can use the third form. Substitute:

Solve for cosine:

In conclusion:

(Note that since 0° ≤ 2<em>A</em> ≤ 90°, 0° ≤ <em>A</em> ≤ 45°. Hence, cos(<em>A</em>) must be positive.)
Answer:
18
Step-by-step explanation:
Hope this helps!
Answer:
Step-by-step explanation:
The answer choices don’t make sense. The volume of a cylinder of height 45mm and radius 5mm = π5²*45 = 1125π mm³.
Three of the answer choices are larger than 1125π.
:::::
volume of one cone = πr²h* ⅓
Volume of cylinder section = πr²h
Total volume = πr²h*⅔ + πr²h = πr²h*5/3 = π5²*15*5/3 = 625π