Bike A after 6 months : 25(6) + 500 = 150 + 500 = 650
Bike B after 6 months : 50(6) + 200 = 300 + 200 = 500
Bike B is cheaper after 6 months
Answer:
1/64
Step-by-step explanation:
To get from a₄ to a₉, we multiply a₄ by r⁵ (since 9 - 4 = 5). We know a₄ and r = 1/2 so the answer is 1/2 * (1/2)⁵ = 1/64.
<span>3/2=5d-1/2
5d = 3/2 +1/2
5d = 2
d = 2/5</span>
Answer:
Option (2)
Step-by-step explanation:
Step 1.
![\sqrt{(\text{cosA-cosB})^2+(\text{sinA-sinB})^2}=\sqrt{(cos(A-B)-1)^2+(sin(A-B)-0)^2}](https://tex.z-dn.net/?f=%5Csqrt%7B%28%5Ctext%7BcosA-cosB%7D%29%5E2%2B%28%5Ctext%7BsinA-sinB%7D%29%5E2%7D%3D%5Csqrt%7B%28cos%28A-B%29-1%29%5E2%2B%28sin%28A-B%29-0%29%5E2%7D)
Step 2.
(cosA - cosB)² + (sinA - sinB)² = [cos(A - B) - 1]² + [sin(A - B) - 0]²
Step 3.
cos²A + cos²B - 2cosAcosB + sin²A + sin²B - 2sinAsinB = cos²(A - B) + 1 - 2cos(A - B) + sin²(A - B)
Step 4.
2 - 2cosAcosB - 2sinAsinB = 1 - 2cos(A - B) + 1
Step 5.
cosAcosB + sinAsinB = cos(A - B)
Therefore, Option (2) will be the answer.