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
The X values are graphed horizontally, while the Y values are graphed vertically.
The text tells us 215 is 86% of the questions
We are looking for 100% of the questions
We get that number by:
Multiplying 100 and 215 and dividing it by 86

And that equals 250
Answer:
Quotient: 121
Remainder: 23
Step-by-step explanation:
So first see how many times 29 goes into 3532.
121
Next do 29 * 121 = 3509
Subtract that from 3532 = 23