Answer:
Step-by-step explanation:
First you have to calculate CB in order to use sin law to calculate ∠A
CB=
CB=12.8(correct to nearest tenth)
After that, use sin law to calculate ∠A,
or 
sinA=0.695...
A=44.079...
=44.1(corrext to the nearest tenth)
Is that clear enough for you?
Answer:
The answer is B
Step-by-step explanation:
The sum of the terms of a geometric sequence with common ratio lesser than 1 is calculated through the equation,
Sn = (a1) x (1 - r^n) / (1 - r)
Substituting the known values,
S5 = (6) x (1 - (1/3)^5) / (1 - 1/3) = 242/27
Thus, the sum of the first five terms is approximately equal to 8.96.
Answer:
18, 19, 20, 21
Step-by-step explanation:
Just like any of these problems, we should start by forming an equation for us to get a reference and plug in. We'll be using x as our variables.
As we have four consecutive integers (and not multiples) we can assume that the integers will be x, x+1, x+2, and x+3.
The sum of the two largest integers we have equals: n+2 + n+3 = 2n+5
and three times the sum of the two smallest = 3(n + n+1) = 6n+3
and the sum of t he two largest subtracted from three times the sum of the two smallest = (6n+3) - (2n+5) = 4n-2
4n-2=70
4n=68
n = 18.
n = 18, n+1 = 19, n+2 = 20, n+3 = 21
