Answer:
17.3 cm
Step-by-step explanation:
(refer to the attached for reference)
since the given triangle is a right triangle (i.e with one of the angles being 90 deg), we can use trigonometry to determine the missing side.
In our case, we are given ∠ABC = 68° and the length of its adjacent side AB = 7 cm.
From trigonometry, the following relationship may be formed:
tan (68°) = opposite length / adjacent length
tan (68°) = AC / AB
tan (68°) = AC / 7 (multiply both sides by 7)
7 tan (68°) = AC (rearrange)
AC = 7 tan (68°) (solve using calculator)
AC = 17.3256
AC = 17.3 cm (1 dec pl)
Answer:
Proof for
Step-by-step explanation:
We are given that a, n, b, r and k are integers.
Also,
Since k divides a and b, we can write,
a = rk and b = sk, where r and s are integers.
Now, we have to prove that k divides r as well that is
Putting value of a and b in the equation, we get:
Since, (r-sn) is an integer, k divides r.
Answer:
465
Step-by-step explanation:
Since we are looking for the the number of combinations to have 2 different flavors in the ice cream, we can use the formula for combination.
Our variables are:
n = 31
k = 2
The number of possible combinations of having 2 different flavors out of 31 different flavors is 465.