Since we don't have a figure we'll assume one of them is right and we're just being asked to check if they're the same number. I like writing polar coordinates with a P in front to remind me.
It's surely false if that's really a 3π/7; I'll guess that's a typo that's really 3π/4.
P(6√2, 7π/4) = ( 6√2 cos 7π/4, 6√2 sin 7π/4 )
P(-6√2, 3π/4) = ( -6√2 cos 3π/4, -6√2 sin 3π/4 )
That's true since when we add pi to an angle it negates both the sine and the cosine,
cos(7π/4) = cos(π + 3π/4) = -cos(3π/4)
sin(7π/4) = sin(π + 3π/4) = -sin(3π/4)
Answer: TRUE
For the first equation go down 2 on the y- axis. Then, go up 5 and over to the right 1. Then shade above the line.
For the 2nd equation get y by itself and you the steps I just gave you, but using the numbers in this equation.
Answer:
1.)a.7 b.7.33 c.7.66 d.8 e.8.33
2.)a.3 b.3.14 c.3.28 d.3.43 e.3.57
3.)your dividing 21-25 by 3 on #1 and dividing 21-25 by 7 on #2.
4.)262.11
5.)2694.5
6.)412
7.)291.2
8.)313.25
9.)1412.16
10.)123 cards per row
11.)1216 pairs of shoes per store
Answer:
68 miles
Step-by-step explanation:
The total distance can be determined from the fractions.
<h3>Solution</h3>
Let d represent the total distance of the race.
The distance running is 1/2d. The distance swimming is 1/4d. The remaining distance is 17 miles.
Remaining = total distance - distance running - distance swimming
17 mi = d -1/2d -1/4d = 1/4d . . . . . . . . use known fractions
68 mi = d . . . . . . . multiply by 4
The total distance of the race is 68 miles.
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<em>Additional comment</em>
This would be a very difficult race. A typical "iron man" race has a swimming distance under 2.5 miles, less than 1/10 of the distance running. The biking distance is typically about 4 times the running distance of "only" 26 miles. An iron man race can take about 17 hours to complete.
This race has a 17-mile swimming segment, which would take a fast swimmer on the order of 8 hours, by itself. (This is 2.7 times the length of a "marathon" swim.) Here, the running distance is 34 miles, about 30% longer than a marathon.
Answer:
8 + d = 43
Step-by-step explanation: