Answer.....15ft by 12ft
Explanation:
Area = Length × Width
180 = LW....make W the subject of formula
;W = 180/L
Perimeter = 2L + 2W
54 = 2L + 2(180/L)...sub W with the formula above...
then simplify the equation and obtain...
2L^2 - 27L + 180 = 0....then solve using the quadratic formula....then obtain..
;L = 15ft....after obtaining L = 15...then substitute into the W = 180/L equation...
where W = 180/15 = 12ft
there you have...Length = 15ft and Width = 12ft
Answer:
41
Step-by-step explanation:
We know that complex numbers are a combination of real and imaginary numbers
Real part is x and imaginary part y is multiplied by i, square root of -1
Modulus of x+iy = ![\sqrt{x^2+y^2}](https://tex.z-dn.net/?f=%5Csqrt%7Bx%5E2%2By%5E2%7D)
Here instead of x and y are given 9 and 40
i.e. 9+40i
Hence to find modulus we square the coefficients add them and then find square root
|9+49i| =![\sqrt{9^2+40^2} =\sqrt{1681}](https://tex.z-dn.net/?f=%5Csqrt%7B9%5E2%2B40%5E2%7D%20%3D%5Csqrt%7B1681%7D)
By long division method we find that
|9+40i| =41
I be leave it is the 3rd one.
Answer:
It should be 4, 6, and 8
Step-by-step explanation:
Hope This Helped
Answer:
20π square units
Step-by-step explanation:
The sector area is found using the proportion ...
sector area / circle area = sector angle / whole circle angle
Multiplying by "circle area", we get ...
sector area = (circle area)( sector angle / whole circle angle)
= (100π)(2/5π)/(2π)
= (100π)(1/5)
sector area = 20π