Your answer is the last one!
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).
Answer:
<h2>120 square meters</h2>
Step-by-step explanation:
To find the SA of 2 Triangles, we will use the formula... B x H, and the Base and Height is going to be the dimensions of just 1 triangle, but it's going to give the answer for 2 triangles, in this shape, we have 2 triangles.
SA = B x H
= 6 x 4
= 24
24 square meters for both of the triangles
Now, let's find the SA of the rectangle on the bottom...
SA = L x W
= 6 x 6
= 36
36 square meters for 1 of the 3 rectangular parts, the one on the bottom
Now, lets find the SA of the 2 rectangles on the top. We'll use the dimensions of 1 rectangle and find the answer for 2 answers by using the formula...
SA = L x W x 2
= 6 x 5 x 2
= 30 x 2
= 60
60 square meters for the 2 rectangles on the top.
Now, we have to add all of our answers.
24 + 36 + 60 = 120 square meters
<h2>
Hence, the SA (surface area) of this shape is 120 square meters.</h2>
~Brainly Master - Helping Students~
Answer:
see the explanation
Step-by-step explanation:
we know that
A mixed number is equal to sum a integer plus a fraction less than 1. The result is a fraction where the numerator will be always greater than the denominator (This fraction is called an improper fraction)
Example
----> a mixed number
a is a integer
b/c < 1
so
Adds the integer plus the fraction
---> an improper fraction
X2 is on the right side, X1 is on the left side so -14 would be X1 and 2 would be x2
so it would be the first answer