Answer:
see explanation
Step-by-step explanation:
Using the sum/ difference → product formula
cos x - cos y = - 2sin( 
)sin (
)
sin x - sin y = 2cos ( )sin ( )
Given
(cosA - cosB)² + (sinA - sinB )²
= [ - 2sin(
)sin(
) ]² + [ 2cos( )sin( ) ]²
= 4sin² ( )sin² ( ) + 4cos² ( )sin² ( )
= 4sin² ( )[ sin² ( ) + cos² ( ) ← sin²x + cos²x = 1
= 4sin² ( ) × 1
= 4sin² ( ) = right side ⇒ proven
Step-by-step explanation:
(Assuming that this triangle is isosceles)
If this triangle is isosceles, then x° is going to be equal to its twin angle; 40°.
We can solve for z now.
180 = 40 + 40 + z
180 = 80 + z
Subtract 80 from both sides.
100 = z
z = 100°
Now that we know z = 100 degrees, we can begin to solve the expression (3x -20)
The expression sits on a 180° line and the angle z (100°) shares the line with the expression (3x - 20)°
180 = 100 + (3x - 20)
Subtract 100 from both sides.
80 = 3x - 20
Add 20 to both sides to isolate 3x
100 = 3x
Divide by 3 on both sides.
100/3 = 3x/3
33.33... = x
Answer:
$36
Step-by-step explanation:
Jim worked from 8am - 2 pm , which is 6 hours
Woody worked form 10am - 2pm, which is 4 hours
If we take the total time (4+6 = 10) and divide the amount they got, we have:
$60/10 = $6 per hour worked
Since Jim worked 6 hours, he will be paid 6 * 6 = $36
The rest, 60 - 36 = $24 would be paid to Woody (he worked less).
Jim's fair share of earning is $36
Answer:
Step-by-step explanation:
the line's equation would be
y = 1/3x -6
so just graph a line using this equation
hope this helps <3
Answer:
Ari's is less than Davids
Ari=18.75
David=24.00
Step-by-step explanation:
