Answer: 7+5(7)+8(4)-2
Step-by-step explanation:
that’s the answer
You would divide the diameter in half to get the radius which is 4. And do the formula which is a=pie(r) squared. So the answer would be 50.24
Answer:
Nika can make 15 cups of milk.
Step-by-step explanation:
To find how many cups she can make, we divide 3 3/4 by 1/4. First, we convert 3 3/4 to an improper fraction.
3 ¾ / ¼ Equation
15/4 / ¼ Convert to improper
15/4 * 4/1 Reverse sign & second fraction
= 60/4
= 15
Also, 15 * 1/4 = 3 ¾, so its correct!
Answer:
the answer is 2 + i.
Step-by-step explanation:
Let the square root of 3 + 4i be x + iy.
So (x + iy) (x +iy) = 3 +4i
=> x^2 + xyi + xyi + i^2*y^2 = 3 + 4i
=> x^2 – y^2 + 2xyi = 3 + 4i
Equate the real and complex terms
=> x^2 - y^2 = 3 and 2xy = 4
2xy = 4
=> xy = 2
=> x = 2/y
Substitute in
=> x^2 - y^2 = 3
=> 4/y^2 - y^2 = 3
=> 4 – y^4 = 3y^2
=> y^4 + 3y^2 – 4 = 0
=> y^4 + 4y^2 – y^2 – 4 =0
=> y^2(y^2 + 4) – 1(y^2 + 4) =0
=> (y^2 – 1) (y^2 + 4) =0
Therefore y^2 = 1, we ignore y^2 = -4 as it gives complex values of y.
Therefore y = 1 and x = 2/1 = 2
The required square root of 3 + 4i is 2 + i.
