Find the measure of an angle whose measure is 60 degrees more than the measure of its complement
2 answers:
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Answer:
Perimeter: 52 Area: 181-16i?
Step-by-step explanation:
<u>Perimeter</u>
The formula for perimeter is 2l+2w, so you plug in the binomials they give you:
2(11-4i)+2(15+4i)
expand:
22-8i+30+8i
combine like terms (which cancels out 8i and -8i):
22+30=52
<u>Area</u>
"i" is not a real number and thus should not be part of the area here, meaning this answer as it is is wrong and I don't know how one would change that.
Here's what I did to get 181-16i, in any case:
The formula for area is l*w, so I plugged in the numbers:
(11-4i)(15+4i)
expanded:
165+44i-60i-16i*i
and combined like terms:
181-16i
*i is , so
=-1 and -1*-16=16.
That's the distance formula, which is the Pythagorean Theorem applied to the points.
The distance between (a,b) and (c,d) is
a-c is the signed distance in the x direction between the points. b-d is the signed distance in the y direction between the points. Since the axes are perpendicular, these make a right triangle whose hypotenuse is the distance between the points.
Here that just means our distance is
Answer: B 4.1 units