Alright lets start by defining both prime and composite.
A natural number that has exactly two factors, one and itself, is called a prime number.
And natural number, other than one, that is not prime, is composite.
So lets start on #1: 8. We should know right off the bat that this is an even number and therefore can be divided by 2 (8/2=4). Since 8 is not one, we know that it is a composite number.
On #2 the number is 13. Now try some random numbers (2,3...) and you will find that nothing will give you a whole number (other than one). This means this number is prime.
#3 is the number 24 which is also even and can be divided by two, therefore is it composite.
33 is the number on #4. Now this one you should look at and realize that it can be divided by 11. Any two numbers that are the same (11, 22, 33, 44, 55...) can be divided by 11. This number is composite.
#5, the last one, is number 89. 89 is not a composite number, because it's only divisors are one and itself. This would make is a prime number.
Sorry this was kinda long, but I hope it helps! If you have any questions, feel free to ask!
I’m sorry I have no idea!! BUT GUYS HELP THIS PERSON
Answer:
a) y = 6x - 3
b) 1/3y = 2x -1
The first thing you need to do is isolate (y) in the second equation
3 x (1/3y) = 3 x (2x - 1)
y =6x - 3
After isolating (y) in equation b they end up being the same.
Graphing:
In order to graph this, you have to make the first point at (0, -3) since this is the Y-intercept of the equation.
In order to graph the other points, you must move 6 units up and 1 unit to the right. Or vise versa If you need a visual I'll gladly link one.
If you diagonally slice the board, you get a right angle, which pyth thm can be used. side2 x side2 = diagonal2
34squared + 34squared = x (diagonal) squared
1156 + 1156 = x squared
2312 = x squared
x = 48.0832611207
so just correct it to the closest as 48 inches
Answer:
Part 1) The length of DC is 
Part 2) The measures of the angles in the isosceles triangle are
The base angles are 67.4° and the vertex angle is 45.2°
Step-by-step explanation:
step 1
In the right triangle BDC Find the length of DC
Applying the Pythagoras Theorem
we have
substitute
step 2
Find the measures of internal angles in the isosceles triangle ABC
we know that
∠DAC=∠DCA ------> base angles
∠ADC ------> vertex angle
<em>Find the measure of angle DCA</em>
In the right triangle BDC
sin(∠DCA)=BD/DC
substitute the values
sin(∠DCA)=12/13
∠DCA=arcsin(12/13)=67.4°
so
∠DAC=∠DCA=67.4°
<em>Find the measure of angle ∠ADC</em>
Remember that the sum of the internal angles of a triangle must be equal to 180 degrees
so
∠DAC+∠DCA+∠ADC=180°
substitute
67.4°+67.4°+∠ADC=180°
∠ADC=180°-134.8°=45.2°
