Answer:
Step-by-step explanation:
The answer choices don’t make sense. The volume of a cylinder of height 45mm and radius 5mm = π5²*45 = 1125π mm³.
Three of the answer choices are larger than 1125π.
:::::
volume of one cone = πr²h* ⅓
Volume of cylinder section = πr²h
Total volume = πr²h*⅔ + πr²h = πr²h*5/3 = π5²*15*5/3 = 625π
L = building side
W = non-building side
P = 2W + L = 42 (note only one L because the other L is the building itself)
Solve for L:
L = 42 - 2W
Area = l*w
Area = (42-2W)W = 42W - 2W2
Let area be y, so y = -2W2 +42W
Note this is a parabola pointing down because the coefficient of the W2 is negative. That makes the vertex the maximum for which we are searching.
Vertex of this parabola is at W=-b/2a, if the quadratic is aW2 + bW + c = 0
a = -2
b = 42
W = -42/(2*-2) = -42/-4 = 10.5
W = 10.5
L = 42-2(10.5) = 42-21 = 21
Area = L*W = 21 * 10.5
A = 220.5 ft2
6=-3(x+2)
——Distribute -3(x+2)
6=-3x-6
—-Flip the equation
-3x-6=6
—-add 6 on both sides..the 6’s will cancel each other and 6+6=12
-3x=12
—-divide -3 on both sides..the 3’s will cancel each other and 12 divided by -3 = -4
Answer: x = -4
Okay, I will give you the building blocks for solving this equation.
Now something you will need to remember is that a triangle will always add up to 180 degrees.
We can use y as that one unknown side in the triangle.
Knowing this, we can say (9x+16) + (6x+15) + y = 180
Then we can combine like terms like so : 15x+31+y = 180
There are two variables though. So we need more information.
Well, turns out we have the exterior angle of a straight line and the angle measures of a straight line must equal 180. We can now use (19x+3) + y = 180.
With both of these equations, you can now solve and find both of the angles
Bailey will have 1103 jelly beans after Andrew gave him 88
