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
For this problem, all you would need to do is plug in numbers for x and y into the calculator. However, none of the ordered pair is a solution to the equations. Unless.. I made a mistake.
Answer:
vertex = (2, - 9 )
Step-by-step explanation:
Given a quadratic in standard form : ax² + bx + c : a ≠ 0
Then the x- coordinate of the vertex is
= -
x² - 4x - 5 ← is in standard form
with a = 1, b = - 4, thus
= - = 2
Substitute this value into the quadratic for corresponding value of y
(2)² - 4(2) - 5 = 4 - 8 - 5 = - 9
vertex = (2, - 9 )
Answer:
5 3/5
Step-by-step explanation:
Convert 1/8 to 10/80 and 7/10 to 56/80 56/10= 5 3/5
The order should be that of the corresponding equal angles
For example 2 triangles ABC and XYZ where <A=X, <B=Y and <C = < Z.