Answer:
In a 45°−45°−90° triangle, the length of the hypotenuse is √2 times the length of a leg. To see why this is so, note that by the Converse of the Pythagorean Theorem , these values make the triangle a right triangle. Note that an isosceles right triangle must be a 45°−45°−90° triangle.
Step-by-step explanation:
Answer:
The sample space table is shown below.
Step-by-step explanation:
It is provided that the students has to select new colors for the hats and the pants of the marching band uniforms.
The color options for each item are:
yellow (Y), green (G), or black (B).
The sample space for the color selection of hats and pants is:
Sample Space
Hats Pants
Y Y
Y G
Y B
G Y
G G
G B
B Y
B G
B B
There are a total of 9 possible selections.
Overall the cost will be 152.93 but plus the 7% sales tax the final price will be 163.64 (sale tax 10.71)
Answer:
Step-by-step explanation:
The given polygon is a pentagon. The apotherm is the perpendicular line from the midpoint of the pentagon to the base of one of its sides.
The formula for determining the area of a regular polygon is expressed as
Area = a² × n × tan 180/n
Where n represents the number of sides of the polygon.
n = 5
Apotherm = 6.5
Therefore,
Area = 6.5² × 5 × tan(180/5)
Area = 211.25 × tan 36
Area = 153.5
x(3x - 2) = (3x + 1)(x - 2)
3x^2 - 2x = 3x^2 - 6x + x - 2
3x^2 - 2x = 3x^2 - 5x - 2
-2x = -5x - 2
-2x + 5x = -2
3x = -2
x = -2/3
hope this helped xx