# Problem of the Day

Mar 23, 2020**March 23, 2020**

**Grade 6 **

23.14 + 1.02 = ?

**Grade 7**

**Grade 8**

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

**Algebra **

Add:

**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 = x^{2 } shifted right 4 units, up 2 units and reflected over the x axis.

**Answers**

**Grade 6: **24.16

**Grade 7: **

**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

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