9514 1404 393
Answer:
(c) 14.5 cm
Step-by-step explanation:
The relevant trig relation is ...
Sin = Opposite/Hypotenuse
sin(65°) = BC/BA
BC = BA·sin(65°) ≈ (16 cm)·0.9063 ≈ 14.501 cm
BC ≈ 14.5 cm
_____
<em>Additional comment</em>
As is often the case, a simple estimate is all that is needed to identify the correct answer choice.
You only need to know how the long side of a right triangle compares to the others. In an isosceles right triangle, both legs are √2/2 ≈ 0.71 times the hypotenuse. The long side of a right triangle will never be shorter than that. This means the long side must be greater than about 11.2, and cannot be greater than 16. There is only one answer choice in that range.
Answer:
4 would be rolled 60 times when the dice was thrown 3000 times.
Step-by-step explanation:
3000/50 is how many times 4 would be rolled
<span>d=drinks
p=pretzels
1st eq. 3d+3p=9.00
2nd eq. 4d+2p=8.50</span>
multiply
1st eq by 2
6d+6p=18.00
<span>multiply
2nd eq by 3
12d+6p=25.50
subtract
-6d=-7.50
d=1.25
3p=9.00-3d</span>
3p=9-3.75
<span>3p=5.25
p=1.75
price a pretzel=$1.75</span>
The mean of a data set is equal to the sum of the set of numbers divided by how many numbers are in the set.
Start by adding the numbers to get 30.
Now, divide by the number of numbers in the set.
So we have 30 ÷ 6 which is 5.
So the mean is 5.
