Pythagorean Theorem
Laws of exponents
Volume
Scientific Notation
Area and Perimeter of Complex Shape right
100
A right triangle has legs of 3ft and 4ft. What's the length of the hypotenuse?
REMEMBER TO USE: (a² + b² = c²)
c=5
3² + 4² = c²
9 + 16 = c²
25 = c² (find the square root!)
c=5
100
When multiplying two exponents with the same base, What is the operation you perform on the exponents.
Add the exponents
100
V = (4/3)πr³. What volume formula is this?
Sphere
100
Put this in scientific notation
46,000,000,000
4.6 * 10^10
100
What is the area of the shaded region?
24 cm squared
200
A right triangle has one leg that is 6 in and a hypotenuse that is 10 in. What is the missing leg?
PLEASSEEE USE THISS: a² + b² = c²
b = 8
6² + b² = 10²
36 + b² = 100
200
What is the power of a power rule?
Write the formula.
Formula: (a^m)^n = a^(m*n).
200
What's the volume formula for cylinder?
V = πr²h
200
Solve this:
5.6 * 10^5560,000
200
What is the area of the composite figure?
52.5 cm squared
300
In the Pythagorean Theorem, "c" represents this side of the triangle.
The hypotenuse
300
What is the quotient rule for exponents?
when dividing exponential expressions with the same base, you subtract the exponents while keeping the base the same.
EXAMPLE: a^(m-n)
300
Instead of the radius being squared what's the radius's exponent.
The radius is cubed
e.g. (r³)
300
Which one is greater?
1.21 * 10^4 ___ 1.84 * 10^2
1.21 * 10^4 Is greater
Answer: 12,100
300
38 cm squared
400
What type of triangle always satisfies the Pythagorean Theorem?
Right triangle
400
What rule is this?
(ab)^n = a^n * b^n
The power of a product rule.
400
What would be the volume if each side of the cube was exactly 3cm?
108cm cubed
400
What does scientific notation utilize to make huge or tiny numbers easier to work with?
(if you don't get this your stupid)
Exponents
400
90 cm squared
500
A right triangle has legs of 6cm and 7cm. What's the length of the hypotenuse?
HINT: a² + b² = c²
(It's not exact, estimate to your best)
c ≈ 9.22 cm
6² + 7² = c²
36 + 49 = c²
85 = c² (Find the square root)
c ≈ 9.22 cm
500
What rule is this?
a^-m = 1/a^m; (a/b)^-m = (b/a)^m
Negitaive Exponent rule
500
What is the volume of a sphere of diameter 10 units?
Remeber to use: V = (4/3) * π * r³
523.6 units
500
put the term 0.0044 in scientific notation
4.4 * 10^-3
500
184 cm squared