Answer:
OPTION C: Sin C - Cos C = s - r
Step-by-step explanation:
ABC is a right angled triangle. ∠A = 90°, from the figure.
Therefore, BC = hypotenuse, say h
Now, we find the length of AB and AC.
We know that: 
and 
Given, Sin B = r and Cos B = s
⇒ 
⇒ 
Hence, the length of the side AC = rh
Now, to compute the length of AB, we use Cos B.

⇒ 
Hence, the length of the side AB = sh
Now, we are asked to compute Sin C - Cos C.

⇒ 

= s
Sin C = s


⇒ Cos C = 
Therefore, Cos C = r
So, Sin C - Cos C = s - r, which is OPTION C and is the right answer.
Answer:
James is 1 meter and 63 centimeters tall
Step-by-step explanation:
James is 1 meter and 63 centimeters tall. The first step will be to subtract 1 from his height;
1.63 - 1 = 0.63 meters
The 1 subtracted is equivalent to 1 meter. The next step is to convert the remaining height in meters to centimeters by multiplying by 100;
0.63 * 100 = 63 centimeters
We can thus say, James is 1 meter and 63 centimeters tall or equivalently 163 centimeters tall
Answer:
2x + 4y = 4
-8x + 8y = -16.
Step-by-step explanation:
We can find an equivalent system by multiply the 2 equations by 2.
x + 2y = 2 multiplied by 2 is 2x + 4y = 4.