Answer:
a. about 15.51 miles, rounded to 15.5 miles
b. about 31.02 miles, rounded to 31 miles
Step-by-step explanation:
Sunday Monday Tuesday Wednesday Thursday Friday Saturday
10 20 40 80 160 320 640
1280 2560 5120 10240 20480 40960 81920
81920/5280 = 15.51515151, rounded to the nearest tenth of a mile, 15.5 miles
Question b asks for how many miles in total has he ran. That means we have to add each of the values shown above and that equals to 163830 feet.
Divide that by 5280 and that equals 31.02 miles, rounded to the nearest tenth, 31 miles.
9514 1404 393
Answer:
2√30 ∠-120°
Step-by-step explanation:
The modulus is ...
√((-√30)² +(-3√10)²) = √(30 +90) = √120 = 2√30
The argument is ...
arctan(-3√10/-√30) = arctan(√3) = -120° . . . . a 3rd-quadrant angle
The polar form of the number can be written as ...
(2√30)∠-120°
_____
<em>Additional comments</em>
Any of a number of other formats can be used, including ...
(2√30)cis(-120°)
(2√30; -120°)
(2√30; -2π/3)
2√30·e^(i4π/3)
Of course, the angle -120° (-2π/3 radians) is the same as 240° (4π/3 radians).
__
At least one app I use differentiates between (x, y) and (r; θ) by the use of a semicolon to separate the modulus and argument of polar form coordinates. I find that useful, as a pair of numbers (10.95, 4.19) by itself does not convey the fact that it represents polar coordinates. As you may have guessed, my personal preference is for the notation 10.95∠4.19. (The lack of a ° symbol indicates the angle is in radians.)
Answer:
1 is 8x + 16 = 6x
Step-by-step explanation:
Answer:
Step-by-step explanation:
The reason is because you don't know the Inital amount she bought and because she visits two days in a row you would multiply
