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:
0.01
Step-by-step explanation:
Your equation is 50 / x = 5,000
You are able to switch this around to 50 / 5,000 = x
Because you know that a x b = c is the same as b x a = c
When you divide 50 by 5,000, you get 0.01
So, 50 divided by 0.01 will get 5,000
Answer:
120 = 15x + 45 5 hours of lessons
Step-by-step explanation:
120 is total money so that goes on one side.
45 is a one-time cost so it is on its own.
15 per hour is another cost but this one depends on a variable so it has an x.
X represents the number of hours.
You put this together to from the equation: 120 = 15x + 45.
Subtract 45 from both sides: 75 = 15x
Divide 15 from both sides: 5 = x.
X = hours so 5 hours
Hello,
The sum of the angles of a triangle is equal to 180°.
<u>So :</u>
x = 180 - 40 - 55 = 85°
Have a nice day :)
801= 8.01×10^2
0.0801= 8.01×10^-2
8,010,000= 8.01×10^6
.00000801=8.01×10^-6
