<h2>
The Pythagorean Theorem</h2>
The Pythagorean Theorem: 
- <em>a</em> and <em>b</em> are the two legs in a right triangle
- <em>c</em> is the hypotenuse (the longest side of a right triangle; opposite the 90° angle
- <em>*keep in mind that this theorem applies only to right triangles</em>
<h2>Solving the Question</h2>
We're given:
- Legs = 9 units and 12 units
- Hypotenuse = <em>c</em>
<em />
Plug these measurements into the Pythagorean theorem:
⇒ Combine like terms:
<h2>Answer</h2>
Answer:
562.5 mph
Step-by-step explanation:
First, let's find how fast the car is going in miles per hour. We do this by dividing the miles by how many hours it took:
225/4 = 56.25
The car was going 56.25 mph
A high-speed train is ten times faster than this car so you multiply 56.25 by 10
(10)(56.25) = 562.5
The train's speed is 562.5 mph
<em>Hope this helps!</em>
<em>- Kay :)</em>
x = the number of miles
y = the total cost
Company A:
0.60x + 60 = y [Company A charges $60 plus $0.60 per mile(x)]
Company B:
0.90x + 30 = y [Company B charges $30 plus $0.90 per mile(x)]
To find the number of miles where the costs for both companies are the same, you can set the equations equal to each other as the costs(y) are the same:
y = y Substitute the equations into "y" (substitute (0.60x + 60) and (0.90x + 30) into "y" since y = 0.60x + 60 and y = 0.90x + 30)
0.60x + 60 = 0.90x + 30 To find x, isolate/get the variable "x" by itself. Subtract 30 on both sides
0.60x + 60 - 30 = 0.90x + 30 - 30
0.60x + 30 = 0.90x Subtract 0.60x on both sides to get "x" on one side of the equation
0.60x - 0.60x + 30 = 0.90x - 0.60x
30 = 0.30x Divide 0.30 on both sides to get "x" by itself
100 = x 100 miles
(if you need to find out the cost where both companies cost the same, you can substitute/plug in the value of x into one of the equations.)
0.60x + 60 = y Plug in 100 into "x" since x = 100
0.60(100) + 60 = y
120 = y At 100 miles, both companies cost $120
Brenda has to take out the trash more than 4 times to have more than $50.
Step-by-step explanation:
Given,
Amount Brenda already have = $30
Amount she gets each time for throwing trash = $5
Amount she wants to have = More than $50
Let,
x be the number of times she throws trash.
Amount for throwing trash * Number of times trash thrown + Amount already have > Amount she wants to have
Dividing both sides by 5
Brenda has to take out the trash more than 4 times to have more than $50.
Keywords: variable, inequality
Learn more about variables at:
#LearnwithBrainly
