# Problem of the Day

Mar 23, 2020

March 23, 2020

23.14 + 1.02 = ?

Categorize the following Real numbers as : Natural, Whole, Integer, Rational and Irrational. Make sure to include every appropriate category.

Algebra

Geometry

Describe the side length and angle measurements for equilateral, isosceles and scalene triangles.

Algebra II

Find the vertex and direction of opening for the following parabola.

Trigonometry

You have a right triangle ABC with sides a and b and hypotenuse c. The length of side a is 6. The length of side b is 8. Find the length of side c and set up the 6 trig ratios (sin, cos, tan, csc, sec and cot) for angle A

PreCalculus

Write the transformation of the graph of y = x2  shifted right 4 units, up 2 units and reflected over the x axis.

Grade 8:  -19 real, rational, integer

real, rational

real, irrational

1.43186…..   real, irrational

0 real, rational, integer, whole

real, rational

real, rational, integer, whole and natural

Algebra:

Geometry:  equilateral  all sides the same length all angles 60 degrees

isosceles  two sides the same length base angles congruent and measure (180 - vertex angle)/2

scalene  no sides the same length. smallest angle across from shortest side, largest angle across from longest side

Algebra II: x coordinate of the vertex is -b/2a  so -18/-6 or 3

plug into equation to find y coordinate of the vertex = 21

vertex (3, 21) opens down because a<0

Trigonometry: c = 10

Pre-calculus:  -(x-4)2 +2