Answer:
first option: Harulo is correct because the angle is coterminal with 3π / 4 and the reference angle is π / 4.
Explanation:
1) 19 π/4 = 4π + 3 π/4, which is 4 complete turns and 3/4 of turn.
2) 3 π/4 is in the third quadrant, so the reference angle is π - 3 π/4 = π/4
3) sin (π/4) = sin (3π/4) = (√2) / 2
4) csc (π/4) = 1 / [ sin (3π/4) ] = 1 / [ (√2) / 2 ] = 2 / (√2) = √2, which shows the validity of the statement and csc(19π/4) = √2.
-7.5 / -2.5 = 3
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Answer:
The answer to your question is $36
Step-by-step explanation:
Data
Total money = $50
2 gallons of milk = $3
a loaf of bread = $2
a dozen of eggs = $3
Write an equation to solve this problem
Cost of 2 gallons of milk + a loaf of bread + 3 dozens of eggs + remainder = total cost
Substitution
$3 + $2 + 3($3) + remainder = $50
Simplification
3 + 2 + 9 + remainder = 50
remainder = 50 - 3 - 2 - 9
result
remainder = $36
Answer:
Barney 145 3 Days 310 Miles
Mary 250 5 Days 600 Miles
A) 3 D + 310 M = 145
B) 5 D + 600 M = 250
Multiplying A) by -5/3
A) -5 D - 516.6666M = -241.66666666
B) 5D + 600M = 250
Adding A) and B)
83.3333 M = 8.3333333333
M = .10 per mile
3 D = 114
Daily Rate = 38 dollars per day
Step-by-step explanation:
