Answer:
27°,63°
Step-by-step explanation:
Let the two angles be a and b.
They are complementary, meaning they add up to 90. Thus:
And we are told their difference is 36. Therefore:
Solve for the system of equations. Add b to both sides in the second equation:
Substitute this into the first:
Combine like terms;
Subtract 36:
Divide by 2:
So, b is 27 degrees.
Use the second equation again:
Now that we know b is 27, substitute:
Add 27 to both sides:
So, a is 63 degrees.
And we're done :)
Answer:
Step-by-step explanation:
So he has $100 and you want to see how many golf balls he can purchase well we know he spends $75 on the clubs so
75
-100
--------
25
John now has 25 dollars left. One ball is $1.50 so we keep adding or multiplying till we finish 25 dollars
1.50 + 1.50 + 1.50 + 1.50 + 1.50 + 1.50 + 1.50 + 1.50 + 1.50 + 1.50 + 1.50 + 1.50 + 1.50 + 1.50 + 1.50 + 1.50 = 24
or
1.50
x 16
----------
24
he can purchase 16 golf balls
and the reason why it's 16 is that 16 golf balls are equal to 24 dollars and he can't purchase 17 golf balls or else that would be $25.50 which is more money than he has.
Hope that helped!
Angle1 = 90 degrees
Angle2 = 15 degrees
Angle3 = 75 degrees (because 180-15-90=75 and all angles equal 180 degrees)
Side1 = 300
Side2 = x (unknown)
Solve for x:
X / sin(15degrees) = 300 / sin(75degrees)
X = (300•sin(15degrees)) / sin(75degrees)
X = 80.38...
= 80
