The domain of the function is \[A \ge0\] If A is negative we get an imaginary number for the radius. This makes sense because the area of a circle cannot be negative.
Answer:
We know that the equation for the speed is:
Speed = Distance/time.
First, we know that he walks 2 miles in 15 minutes.
distance = 2miles
time = 15 minutes
Then his speed in that interval is:
Speed = (2 mi)/(15 min) = (2/15) miles per minute.
Now, at this same speed, he wants to walk 3 more miles. And we want to find the equation that represents how much time she needs to walk 5 miles (the 2 first miles plus the other 3 miles)
We use again the equation:
Speed = Distance/Time
But we isolate Time, to get:
Time = Distance/Speed
Where:
Distance = 5 miles
Speed = (2/15) miles per min
Time = (5 miles)/((2/15) miles per min) = 37.5 minutes
She needs 37.5 minutes to walk the 5 miles.
Well, there are 8oz in a cup, so in 7/8 of a cup there are 7/8 * 8 ounces or 7oz then.
now, a gallon has 128oz total, so 2/8 of a gallon will then be (2/8) * 128, or 32oz.
so, fairly sure you can tell who has greater capacity.
Answer:
the question is incomplete, below is the complete question
"ress the following complex numbers in rectangular form. Show how you get the answer and use a calculator to verify your answer. E.g. 2 pts for 2∠30°=2(cos30°+jsin30°)=1.73+j, 1 pt for 2∠30°=1.73+j. Same grading criteria as 1.4. (a) Z1=5eⁱ³⁰ (b) z2=−3 ∠(−45°) (c) z3=2∠(−90°)
answer
a.Z1=4.33+j2.5
b. Z2=-2.12+j2.12
c.Z3=-2j
Step-by-step explanation
note that
Z=reⁱⁿ=r(cosπ+jsinπ)
hence from Z1=5eⁱ³⁰ wen have
Z1=5(cos30+jsin30)
Z1=5(0.8660+j0.5)
Z1=4.33+j2.5
b.also from z=r∠(π)=r(cosπ+jsinπ)
Hence,
z2=−3 ∠(−45°)=-3(cos(-45)+jsin(-45))
Z2=-3(0.7071-j0.7071)
Z2=-2.12+j2.12
c. z3=2∠(−90°)=2(cos(-90)+jsin(-90))
Z3=2(0-j)
Z3=-2j
