Module 1: set, relations, functions, numbers
Module 2: logic and boolean algebra
Module 3: combinatorics and probability
Module 4: graphs and trees
Module 5: induction and recursion
Module 6: grammars, languages and finite state machines.
Answer:
The equivalent expressions are:
Step-by-step explanation:
Given equation for finding area of a trapezoid:
where 
represents area, 
represents height and 
represents the base lengths of the trapezoid.
Evaluating by rearranging the equation to find an equivalent equation.
Multiplying both sides by 2.
Dividing both sides by 
Evaluating 
by rearranging the equation to find an equivalent equation.
Multiplying both sides by 2.
Dividing both sides by
Subtracting both sides by 
Answer:
No
Step-by-step explanation:
y=7x
4=7(1)
4=7
This is not a true statement.
It’s C!! don’t listen to the first answer. all you have to do it count how many zero’s there are
You have two 30-60-90 triangles, ADC and BDC.
The ratio of the lengths of the sides of a 30-60-90 triangle is
short leg : long leg : hypotenuse
1 : sqrt(3) : 2
Using triangle ADC, we can find length AC.
Using triangle BDC, we can find length BC.
Then AB = AC - BC
First, we find length AC.
Look at triangle ACD.
DC is the short leg opposite the 30-deg angle.
DC = 10sqrt(3)
AC = sqrt(3) * 10sqrt(3) = 3 * 10 = 30
Now, we find length BC.
Look at triangle BCD.
For triangle BCD, the long leg is DC and the short leg is BC.
BC = 10sqrt(3)/sqrt(3) = 10
AB = AC - BC = 30 - 10 = 20
