Answer:
Step-by-step explanation:
Given: See Attachment
Required
Determine the length of the legs
To do this, we apply Pythagoras theorem.
In this case:
Open Bracket
Collect Like Terms
Solving using quadratic formula:
So:
or 
Since, x can't be negative, then:
One of the leg is:
You need to divide the amount he has by the serving size.
(3/4) / (1/6) =
= 3/4 * 6/1
= 18/4
= 4 1/2
He can make 4 1/2 servings.
Answer:
4) x^10
Step-by-step explanation:
1) If two numbers have the same base (i.e. x^3 and x^4) and you are multiplying them you just add the exponents. Therefore x^3*x^4 would be x^(3+4) which equals x^7.
2) When dividing similar bases you have to subtract the exponents. If we have x^18÷x^8 that is equivalent to x^(18-8) which gives us x^10.
3) If we have (x^3)^3 we will need to multiply the exponents. Therefore (x^3)^3 is equivalent to x^(3*3) which gives us x^9.
4) (x^2*x^4)^4÷x^8
First do what's in the parentheses,
(x^2*x^4) = x^6
Next do the exponents,
(x^6)^3 = x^18
Lastly the division,
x^18÷x^8 = x^10
x^10 is our answer.
Answer:
x>5
Step-by-step explanation:
<h3>a) Never</h3>
{All angles of a rectangle are right}
<h3>b) Always</h3>
{all sides of a rhombus are the same, 4×13=52}
<h3>c) Always</h3>
{oposite angles of a paralleogram are congruent}
<h3>d) Never</h3>
{parallel sides has the same slope}
<h3>e) Always</h3>
{square has all sides of the same length, so it is rhombus}
<h3>f) Sometimes</h3>
{Only if it has angles of 90°}
