360° is the correct answer
Answer:
2.41
Step-by-step explanation:
Cross multiplication
47(2)=39b
94÷39=39b÷39
2.41=b
Answer:
The smaller number is 28 and the larger number is 124.
Step-by-step explanation:
Let x = the smaller number
Let y = the larger number
x + y = 152
y - 4x = 12 Solve the second equation for y
y = 4x + 12 Substitute 4x + 12 for y into the first equation
x + y = 152
x + 4x + 12 = 152 Combine the x's
5x + 12 = 152 Subtract 12 from both sides of the equation
5x = 140 Divide both side of the equation by 5
x = 28 Substitute 28 for x in the first equation to solve for y
x + y = 152
28 + y = 152 Subtract 28 from both sides of the equation.
y = 124
Answer:
Option (2)
Step-by-step explanation:
Step 1.
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.