Answer:
100%
Step-by-step explanation:
100% of the shelters received 1,000 or fewer cans per month since all the data values in the box and whisker plot are below 1,000 indicating that homeless shelter received more than 1,000 cans.
The Bulldogs are least likely to win.
Answer:
See below.
Step-by-step explanation:
Fifth root of 243 = 3,
Suppose r( cos Ф + i sinФ) is the fifth root of 243(cos 240 + i sin 240),
then r^5( cos Ф + i sin Ф )^5 = 243(cos 240 + i sin 240).
Equating equal parts and using de Moivre's theorem:
r^5 =243 and cos 5Ф + i sin 5Ф = cos 240 + i sin 240
r = 3 and 5Ф = 240 +360p so Ф = 48 + 72p
So Ф = 48, 120, 192, 264, 336 for 48 ≤ Ф < 360
So there are 5 distinct solutions given by:
3(cos 48 + i sin 48),
3(cos 120 + i sin 120),
3(cos 192 + i sin 192),
3(cos 264 + i sin 264),
3(cos 336 + i sin 336).. (Answer).
<span>are you familiar with the pythagorean theorem?
</span>it's the formula
a^2 + b^2 = c^2
where 'a' and 'b' are the legs of a right triangle, c is the hypotenuse
so here,
<span>lets take
a = unknown, b = 18, c = 36</span><span>If we focus on triangle ABC, we see that AC is the hypotenuse
If we turn our attention to triangle ADB, we'll find that AB is the hypotenuse
So they are corresponding partAD is the longer leg of triangle ADB
AB is the longer leg of triangle ABC
so this is another pair of corresponding partswe then divide the corresponding parts of ABC over ADB (in the same order) like this
AC/AB = AB/AD
then plug in the info we know
36/(18*sqrt(3)) = (18*sqrt(3))/AD
and then solve for ADcross multiply to get
36*AD = (18*sqrt(3))(18*sqrt(3))
36*AD = 18*18*sqrt(3)*sqrt(3)
36*AD = 18^2*(sqrt(3))^2
36*AD = 324*3
36*AD = 972 AD = 972/36AD = 27hope u get it :)</span>
