Answer:
= 29.82 yards/second
Step-by-step explanation:
The speed is given in the problem. We just need to convert its units. The multiplicative identity (that is, 1) may be used to change the units without changing the value. (note: do you know what the additive identity is?)
61 miles per hour
(61 miles) / (1 hour)
(61 miles)/(1 hour)*1
((61 miles)/(1 hour))*((5280 feet)/(1 mile))
((61 miles)/(1 hour))*((5280 feet)/(1 mile))*((1 yard)/(3 feet))*((1 hour)/(60 minutes))*((1 minute)/(60 seconds))
note: miles, feet, hours, minutes cancel out; leaving yards per second
(61/1)*(5280/1)*(1/3)*(1/60)*(1/60) yards/second (note: I write that way to paste into Excel)
Some information is missing for #6.
#7: use sine, sin35=h/5.1, h=5.1*sin35, use a calculator, h≈2.9
#23: to find the reference angle, keep subtracting the number by 360, until the remaining difference is the smallest positive number.
1406-360-360-360=326. the reference angle is 326.
now look at the remainder, the terminal line of 326 degree is in the 4th quadrant between 270 and 360, the the reference angle is 360-326=34, the angle between the terminal line and the positive x axis. 34 is the answer.
Answer:
4.56
Step-by-step explanation:
"Ordinary" interest will be more than "exact" interest because the number of days in a year is a smaller value. The difference will be ...
Io = Prt = 5000(0.12)(200/360) = 333.33
Ie = Prt = 5000(0.12)(200/365) = 328.77
The difference is ...
333.33 -328.77 = 4.56 . . . the difference in interest values
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<em>Additional comment</em>
The question asks for the difference between exact and ordinary interest, so the result is technically negative:
328.77 -333.33 = -4.56
