Answer:
cos(A) = 4/5
Step-by-step explanation:
3sinA+4cosA=5
Divide by 5 on both sides
(3/5)sinA+(4/5)cosA = 1 .................(1)
from which sin(A) = 3/5, cos(A) = 4/5 by inspection, since
(3/5)^2+(4/5)^2 = 1
For more details,
Let
cos(B) = (3/5), then
sin(B) = (4/5)
Substitute in (1)
cos(B)sin(A) + sin(B)cos(A) = 1 substitute trigonometric sum
sin(A+B) = 1 => A & B are complementary
cos(A) = sin(B) = 4/5
Answer:
X = 12000
Step-by-step explanation:
1200 is 10% of X
Writing in equation form, we get,

Answer:
Step-by-step explanation:
Given that the equation x + y = z relates the whole numbers x, y, and z.
This implies x,y,z all three are whole numbers
Hence we get x+y =z
x = z-y
where y is a whole number
So y can be 0,1,2.....
From this we can say x can take at most the value z in case y =0 other wise x has to be less than z
So comparison of x,y,z would give

( the equality applying only when y =0)
Answer:
1. 16:32=1:2
2. 56:200=7:25
Step-by-step explanation:
1. 16:32=1:2 -> both divisible by 8
2. 56:200=7:25 -> both divisible by 8