Step-by-step explanation:
(-3+3i) - (8 – 9i)
-3+3i - 8 + 9i
-11+12i
Answer:
$104
Step-by-step explanation:
First find how much 1 ticket costs
65/5= 13
Times that by 8
8x13=104
Answer:
Standard Complex Form : ![-\frac{25\sqrt{3}}{2}+\frac{25}{2}i](https://tex.z-dn.net/?f=-%5Cfrac%7B25%5Csqrt%7B3%7D%7D%7B2%7D%2B%5Cfrac%7B25%7D%7B2%7Di)
Step-by-step explanation:
We want to rewrite this expression in standard complex form. Let's first evaluate cos(5π / 6). Remember that cos(x) = sin(π / 2 - x). Therefore,
cos(5π / 6) = sin(π / 2 - 5π / 6),
π / 2 - 5π / 6 = - π / 3,
sin(- π / 3) = - sin(π / 3)
And we also know that sin(π / 3) = √3 / 2. So - sin(π / 3) = - √3 / 2 = cos(5π / 6).
Now let's evaluate the sin(5π / 6). Similar to cos(x) = sin(π / 2 - x), sin(x) = cos(π / 2 - x). So, sin(5π / 6) = cos(- π / 3). Now let's further simplify from here,
cos(- π / 3) = cos(π / 3)
We know that cos(π / 3) = 1 / 2. So, sin(5π / 6) = 1 / 2
Through substitution we receive the expression 25( - √3 / 2 + i(1 / 2) ). Further simplification results in the following expression. <u>As you can see your solution is option a.</u>
![-\frac{25\sqrt{3}}{2}+\frac{25}{2}i](https://tex.z-dn.net/?f=-%5Cfrac%7B25%5Csqrt%7B3%7D%7D%7B2%7D%2B%5Cfrac%7B25%7D%7B2%7Di)
Answer:
Option C, 5m
Step-by-step explanation:
<u>Since a giraffe is usually about 15-20 feet, that is about 5 meters</u>
<u />
Answer: Option C, 5m