The answer is A as he has all of the quarters when he spends no time in the arcade
The three vectors
,
, and
each terminate on the plane. We can get two vectors that lie on the plane itself (or rather, point in the same direction as vectors that do lie on the plane) by taking the vector difference of any two of these. For instance,


Then the cross product of these two results is normal to the plane:

Let
be a point on the plane. Then the vector connecting
to a known point on the plane, say (0, 0, 1), is orthogonal to the normal vector above, so that

which reduces to the equation of the plane,

Let
. Then the volume of the region above
and below the plane is

Answer:
b = -3
Step-by-step explanation:
-13 = 2b - b - 10
Add 10 to both sides of the equation
-3 = 2b - b
Subtract 2b - b
-3 = b
b = -3
Hope this helps :)
Answer:
C. R = 17.9 degrees
Step-by-step explanation:
We have a rectangle triangle with the adjacent side and the opposite side (neither of which are the hypotenuse).
The relation between those elements is the tangent:

So, to isolate the angle, we modify the formula as such:

If we round 17.87 degrees to the tenth... we get 17.9 degrees.
Answer: The price of meal before the tip = $34.
Step-by-step explanation:
Given : The percentage of tip = 22% = 0.22 ( we divide a percentage by 100 to convert it into decimal)
Total amount paid ( including tip) = $41.48
Formula for Total bill = Price of meal + Tip amount , where Tip amount= 22% of Price of meal.
Let x be the price of meal, then
Total bill =x + 0.22 x (x )
⇒ $41.48= x(1+0.22) [ By distributive property]
⇒ $41.48 = x (1.22)
⇒ x= ($41.48) ÷ 1.22
⇒ x= 34
Hence, the price of your meal before you applied the tip = $34.