A. line
a parabola is a quadratic function and the line that splits the parabola is called the axis of symmetry.
Answer:
The discount rate is %35! :)
Step-by-step explanation:
Answer:
Step-by-step explanation:
Given that an exit poll of 1000 randomly selected voters found that 515 favored measure A.
Sample proportion p =
Margin of error 99% = 2.58*SE
=
99% confidence interval =
------------------------
(Right tailed test)
STd error =
Test statistic Z = p diff/std error =
p value = 0.1714
9514 1404 393
Answer:
85.7 meters
Step-by-step explanation:
A graphing calculator finds the result easily. The ball moved 85.7 meters horizontally before it hit the hill.
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Equating y expressions gives ...
0.725x = -0.05x^2 +5x +1
In standard form, this is ...
0.05x^2 -4.275x -1 = 0
The quadratic formula tells us the positive solution is ...
x = (4.275 +√(4.275^2 -4(0.05)(-1)))/(2(0.05)) = (4.275 +√18.475625)/.1
x ≈ 85.733
The cannon ball hits the hill at a horizontal distance of 85.7 meters from the cannon.
Answer:
Apothem = 3.3 units
Step-by-step explanation:
A regular nonagon has an area of 102.4 and one side length measures 7 units long. Find the apothem. Round to the nearest tenth, if necessary.
The formula to find the area of a polygon when given Apothem and Side length =
A = 1/2 × a × p
Where p = no of sides of polygon × side length
In the above question,
We are given a polygon = nonagon = 9 sides
Side length = 7 units
p = 9 × 7 = 63 units
Area = 102.4 square units
Apothem = a = ?
We substitute into the formula
102.4 = 1/2 × a × 63
102.4 = 63a/2
Cross Multiply
102.4 × 2 = 63a
Divide both sides by 63
a = 102.4 × 2/63
a = 3.2507936508 units
Approximately to the nearest tenth = 3.3 units