You only have to apply the theorem of Pythagoras here. Remember the square on the hypotenuse (the longest side) is equal to the sum of the squares on the other two sides :
1. AB is the hypotenuse, so, according to the theorem we can write :
AB² = AC² + CB²
c² = 5² + 4²
c²= 25 + 16
c² = 41
applying the square root of 41 we get :
c ≈ 6.40 rounded to the hundred
The next cases are exactly the same thing so there is no need for explanation :
2.
AB is the hypotenuse here because it is the biggest side clearl :
AB² = AC² + CB²
25² = 15² + b²
Thus
b² = 25² - 15²
we just subtracted 15² on each side of the equation
b² = 625 - 225
b² = 400
applying the square root of 400 we get
b = √400 = 20
So AC = 20
3. The longest side is clearly AB = 60
So
AB² = AC² + CB²
60² = 40² + a²
subtracting 40² on each side of the equation we get :
a² = 60² - 40²
I let you finish this using your calculator and doing exactly like the previous cases
4.
AB is the hypotenuse,
AB² = AC² + CB²
23² = b² + 14²
Subtracting 14² from each side of the equation we get
b² = 23² - 14²
5.
AB is the biggest side :
AB² = AC² + CB²
29² = 23² + a²
We subtract 23² on each sides of the equation :
a² = 29² - 23²
You can finish with your calculator
6.
AB² = AC² + BC²
78² = b² + 30²
subtraction...
b² = 78² - 30²
Good luck :)
Answer:
8.8 is classified as a rational number because it can be written as a fraction, which would be 44/5.
Answer:
The equation representing the Total amount spend on movies for a year is 
.
We can say that Domain can be represented as Whole Number or an Integer or A Real Number so any value can be selected.
Step-by-step explanation:
Given:
Annual Registration fee of the club = $25
Discounted price of each ticked for members = $6
Number of tickets Makayla Purchases in a year = 'm'
We need to model the equation the amount of Money Makayla spent on movies for the year while becoming a member.
Now we know that:
Total Amount of Money spend on Movie tickets C(m) is equal to Sum of Discounted price of each ticked for members multiplied by Number of tickets Purchases in a year and Annual Registration fee of the club.
Framing in equation for we get;
Hence The equation representing the Total amount spend on movies for a year is .
Also We can say that Domain can be represented as Whole Number or an Integer or A Real Number so any value can be selected.
Answer:
the dinner was 50$
Step-by-step explanation:
