The answer is 45 because 36 as a fraction is 36/w (the w is a variable) and 80% is 80/100, then cross multiply 36 x 100 is 3600 and 80 x w is 80w. Divide by 80 and you get 45. :)
Answer:
the sinθ is 4√17 / 53.6
Step-by-step explanation:
All the steps are on the image :)
Answer:
angle b and c are vertical angles.
We make two sets of equations: x + y = 106 and 0.05x + 0.25y = 13.70. I will solve by substitution. Subtract "x" from both sides of x + y = 106 to convert it to slope intercept form, so y = 106 - x. Substitute y = 106 - x into 0.05x + 0.25y = 13.70, so 0.05x + 0.25(106 - x) = 13.70. Solve for 0.05x + 0.25(106 - x) = 13.70, so 26.5 - 0.2x = 13.7, then x = 64. Substitute 64 into x + y = 106, so 64 + y = 106, then y = 42. There is 64 nickels and 42 quarters.
First, we go from small numbers. we know that both 68 and 80 are divisible by 2 which means that we can simplify the numbers dividing by 2. So it is 34/40. We know that again 2 is divisible by 34 and 40. So you divide 2 which gives 17/20. Now, no number is divisible by 17 and 20 so your answer is 17/20