Answer:
580742.5, in words: five hundred eighty thousand seven hundred forty-two and a half.
Multiply: 1489 * 390 = 580710
Divide: 65 / 2 = 32.5
Add: 580710+32.5 = 580742.5
9514 1404 393
Answer:
5/4
Step-by-step explanation:
The relationship between the sec and csc functions is ...
csc(A) = sec(A)/√(sec²(A) -1)
For the given value of sec(A), this is ...
csc(A) = (5/3)/√((5/3)² -1) = (5/3)/√(16/9) = (5/3)/(4/3)
csc(A) = 5/4
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Some calculators can tell you the answer directly.
Answer: D
Step-by-step explanation:
in the first equation you need to shade below and for the second equation you need to shade to the right and the only place where the shading matches is in section d
Answer:
Paula = 4 hours
Roberto = 12 hours
Step-by-step explanation:
Time taken by Paula = x
Time taken by Roberto = x +. 8
Paula's rate = 1/x
Roberto's rate = 1/(x + 8)
Combined rate = 1/3
Time it takes each if them working alone ;
Paula's rate + Roberto's rate = combined rate
1 /x + 1 / (x +8) = 1/3
Take the L. C. M
((x+8) + x) / x(x+8) = 1/3
(2x + 8) / x(x + 8) = 1/3
3(2x + 8) = x(x + 8)
6x + 24 = x² + 8x
x² + 8x - 6x - 24 = 0
x² + 2x - 24 = 0
Solving the quadratic equation :
x² + 6x - 4x - 24 = 0
x(x + 6) - 4(x + 6) = 0
(x - 4) = 0 or (x + 6) = 0
x = 4 or x = - 6
Time taken cannot be negative
Hence, x = 4
Hence, working alone, it takes ;
Time taken by Paula = 4
Time taken by Roberto = 4 + 8 = 12
Answer:
PLZ MARK BRAINLIEST THE ANSWER IS 9
Step-by-step explanation:
the MPH is 45 miles per hour, 45 divided by 60=0.75. 0.75x12=9
