Answer:
49.12 square inches
Step-by-step explanation:
Area of a circle = Pi x r^2
= 3.14 x 4^2
= 3.14 x 16
= 50.24
Half the circle = 25.12 squared inches
Area of a triangle = base x height /2
= 6 x 8 /2
= 24
25.12 + 24 = 49.12 square inches
Answer: 5/3
Step-by-step explanation:
Z+22/z = 12
z+22=12z
22=11z
2=z
Hope this helps. Just say if you need more of an explanation.
Answer:
4
Step-by-step explanation:
First off, integers are Whole Numbers (1,2,3,4, etc), so we are rounding the answer to the nearest whole number.
The square root of lets just say 25 means you are finding a number that multiplied by itself will equal 25 (the answer is 5).
Now for 13, there is no perfect square, however the closest whole number that multiplied by itself to 13 is 4.
4*4= 16
3*3=9
5*5=25
As you can see above 4 is the closest number to 13.
Now, the ACTUAL value of the square root of 13 is 3.60555128, but we are rounding up to the nearest whole number which is 4 :)
Answer:
2 units of X and 5 units of Y
Step-by-step explanation:
(a) Utility is maximized when (MUx / Price of X) = (MUy / Price of Y)
This condition holds for the following cases
1. X = 4 (MUx / Px = 8 / 4 = 2) and Y = 6 (MUy / Px = 4 / 2 = 2)
2. X = 2 (MUx / Px = 16 / 4 = 4) and Y = 5 (MUy / Px = 8 / 2 = 4)
For the first case Total cost = 4 x $4 + 6 x $2 = $(16 + 12) = $28 (Budget is exceeded).
In the second scenario, Total cost = 2 x $4 + 5 x $2 = $(8 + 10) = $18 (budget is exhausted).
Optimal case contains X = 2 units, Y = 5 units.
