the smallest integer is 15
note that consecutive integers have a difference of 1 between them
let the smallest integer be n
then : n, n+ 1, n + 2, n + 3, n + 4, n + 5, n + 6
are seven consecutive integers with n + 6 being the largest, thus summing gives
7n + 21 = 6(6 + n)
7n + 21 = 36 + 6n ( distributing right side )
7n - 6n + 21 = 36 ( subtracting 6n from both sides )
n + 21 = 36 ⇒ n = 36 - 21 = 15
the smallest integer is 15
Well, notice the picture below
recall cosine is adjacent over hypotenuse
what's the hypotenuse? well, you can just use the pythagorean theorem to get "c" or hypotenuse
Answer:
a=6.9
Step-by-step explanation:
Since you know that C is a right angle, you can use the Law of Sines to find a. The first step is to find the size of the angle A, which is 180-74-90=16. Now, you set up a ratio that involves 3 knowns and one unknown to get , which after cross multiplying yields . PM me if you have any questions?
Answer: 8 3/4
Explanation: honestly there’s a seamos scientific calculator that I’ve been using for this type of stuff for years