Answer:

Step-by-step explanation:
We are given the trigonometric equation of:

Let u = 4x then:

Find a measurement that makes sin(u) = √3/2 true within [0, π) which are u = 60° (π/3) and u = 120° (2π/3).

Convert u-term back to 4x:

Divide both sides by 4:

The interval is given to be 0 ≤ 4x < π therefore the new interval is 0 ≤ x < π/4 and these solutions are valid since they are still in the interval.
Therefore:

2x+y>-4, 2*5-12=10-12= - 2, -2 > -4 (5, -12) matched, 2*0 + 1= 1> - 4, (0,1) matched, 2*-1 + (-1) = -3 > -4, (-1,-1) matched, the solutions are (5, -12) , (0,1) and (-1,-1), if the question is 2x+y>-4,
Answer:
Dezias' pensil is 5.11-1.09=4.02 inches long
Paul's pencil is 4.02+2.05=6.07 inches long
Miguel's pencil is 5.11+1.75=6.86 inches long
Combined are 5.11+4.02+6.07+6.86=22.06
The fraction is 22.06/12=1.8383333...
Total weight=number of pennies times weight of 1 penny
total weight/weight of 1 penny=number of pennies
636.3/3.03=210
210 pennies
Answer:
there is a 1 to 15 relationship between miles and gallons
Step-by-step explanation: