Answer:
A parabola opens downward with vertex at (1,20)
Step-by-step explanation:
The function that models the height of bag of candies is

The graph of this function is a parabola that opens downward.
To find the maximum height of the candy bag, we complete the squares to obtain the vertex form of the function.
Factor -16 to get;

Add and subtract the square of half the coefficient of t.

Factor the perfect square trinomial:

The vertex is (1,20)
This means the maximum height after 1 second is 20 feet.
Answer:
Step-by-step explanation:
Find the slope of the line AB.
<u>The slope:</u>
- m = (11 - 9)/(11 - 7) = 2/4 = 1/2
Since the altitude is perpendicular to AB, it has a slope of -2.
The line with the slope of -2 and passes through point C(6, 16).
<u>Use point-slope equation to find the line:</u>
- y - 16 = -2(x - 6)
- y - 16 = -2x + 12
- y + 2x = 16 + 12
- 2x + y = 28
A = 2, B = 1, C = 28
Answer:
Step-by-step explanation:
Step One
Find the exterior angle connected to the 93 degree angle. It is also a supplement to 93. Supplementary angles add to 180. Call the exterior angle y
93 + y = 180 Subtract 93 from both sides
y = 180 - 93
y = 87
Step two
Add all the exterior angles. They equal 360
x + 52 + 87 + x + 3 + 78 = 360 Combine the like terms
Step 3
Solve the equation
2x + 220 = 360 Subtract 220 from both sides
2x = 360 - 220
2x = 140 Divide by 2
x = 70
I don't see that anywhere, but I'm pretty sure I'm right.
Weekly compact: 18
Weekly standard: 25
Weekly full size: 36
Total weekly: 18 + 25 + 36 = 79
standard weekly as percent of total weekly:
25/79 * 100 = 31.6455...%
Answer: 32%
Answer:
Step-by-step explanation:
Part A: The pancake is a cylinder shape with a circular top and bottom and straight middle.
Part B: Rotating a circle will NOT make a cylinder. Instead rotating a rectangular around a vertical axis will. It is a rectangle of 1cm height and 7cm length rotating around an axis at its edge.**
**Thanks to Moderator wegnerkolmp2741o who pointed out that it has to be a rectangle of 1cm height and 7cm length rotating around an axis at its edge. My original option of 1cm height and 14cm length rotating around its center would cause an overlapping shape.