It is rather obvious that we will have to deal with a trigonometric function. Let us see... the first hint is that a function is not defined somewhere. cos and sin are defined for all real numbers... what about tan though? Well, as we approach pi/2, tan becomes larger and larger and it is not defined at pi/2. Given that the tan function has a period of pi (cos and sin have a period of 2pi), this function is the right candidate. Since it is periodic and it is not defined at pi/2, it cannot be defined at any x=pi/2+-npi (if it was defined for some n, then it would have the same value at pi/2 due to periodicity). Hence, a function that works is tanx, or 2*tanx or tanx+6.
To find how much she needs of every ingredient, multiply every ingredient by 2/3.
Butter: 2•2/3=4/3=1&1/3 cups
Marshmallows: 24•2/3=16 oz
Cereal: 13•2/3= 26/3=8&2/3 cups
Answer:
2 ounces of clay is left in the bucket
Step-by-step explanation:
Total amount of clay in the bucket = 12 ounce
Ari used 1/6th of the clay in the bucket and Greg used 2/3 of the clay in the bucket
Hence, the remaining clay in the bucket
12 - 1/6 *12 - 2/3 * 12
12 - 2-8
2
Answer:
<h2>1.84feet</h2>
Step-by-step explanation:
Using the formula for finding range in projectile, Since range is the distance covered in the horizontal direction;
Range 
U is the velocity of the arrow
H is the maximum height reached = distance below the bullseye reached by the arrow.
R is the horizontal distance covered i.e the distance of the target from the archer.
g is the acceleration due to gravity.
Given R = 60ft, U = 250ft/s, g = 32ft/s H = ?
On substitution,

Squaring both sides we have;

The arrow will hit the target 1.84feet below the bullseye.