Perform the operation given that a = {−3, −2, −1, 0, 1, 2, 3}, b = {−4, −2, 0, 2, 4}, and c = {0, 1, 2, 3, 4}. (enter your answe
Ludmilka [50]
A ∩ c={0,1,2,3}
b ∪ (a ∩ c)={-4,-2,0,1,2,3,4}
Answer:
3.14 (or pi ) feet
Step-by-step explanation:
Entire circle circumference = pi *d = 8 pi feet
45 degrees is a fraction of the entire 360 degrees of the circle
45 / 360 * 8 pi = pi = 3.14 ft
Answer:
Step-by-step explanation:
Since 2 of the 3 binomials are identical I would start the distribution there.
(1 + 4i)(1 + 4i) = 
I'm sure you have learned in class by now that i-squared is = to -1, so we can make that substitution:
1 + 8i + 16(-1) which simpifies to
1 + 8i - 16 which simplifies further to
-15 + 8i. Now we need to FOIL in the last binomial:
(-15 + 8i)(-4 + 4i) = 
Combine like terms to get

Again make the substitution of i-squared = -1:
60 - 92i + 32(-1) which simplifies to
60 - 92i - 32 which simpifies, finally, to a solution of:
28 - 92i
Answer:
24 ft
Step-by-step explanation:
Hypotenuse = √9²+16²=√81+256=√400=20ft
the upper side of the stuff = 4 ft
total = 20+4=24
Based on the investment ratio and the amount invested, the amount that Zach invested is<u> $102,857.14. </u>
First thing to do is to add up the numbers in the ratio:
= 1 + 2 + 0.5
= 3.5
The amount that Zach invested is:
<em>= Zach's ration/ Sum of ratio x Amount invested</em>
= 1 / 3.5 x 360,000
= $102,857.14
In conclusion, Zach invested $102,857.14.
<em>Find out more at brainly.com/question/17061956. </em>