Answer:
x=4
Step-by-step explanation:
3^(x-1)=27
=>3^(x-1)=3³
=>(x-1)=3
=>x=4
First, we need to find the missing leg of triangle ACD. We have to use pythagorean theorem to find the missing leg.
a^2 + b^2 = c^2
In this problem,
a = 2
b = ?
c = 5
Plug our numbers into the formula above.
2^2 + b^2 = 5^2
Simplify our terms
4 + b^2 = 25
Subtract 4 from both sides
b^2 = 21
Take the square root of each side
b = √(21)
Now, we can solve for the area of triangle ABC
Area of a triangle = (h * b) / 2
h = height
b = base
In this problem,
h = √(21)
b = 5.0
Plug our numbers into the area formula of a triangle
Area = (√(21) * 5) / 2 = 11.46 square units
3:4:5 triangle, The junior varsity team's course is 5 miles
Answer:
The change in the total cost for each book printed is $10
The cost to get started is $1250
Step-by-step explanation:
In the linear equation y = m x + b, where
- m is the rate of change per unit
- b is the initial amount (value y at x = 0)
∵ y represents the total cost of publishing a book in dollars
∵ x represents the number of copies of the book printed
∵ y = 1250 + 10 x
- Compare it with the linear equation y = m x + b
∴ m = 10
∴ b = 1250
∵ m = Δy/Δx
- That means m is the change in the total cost per book
∴ The change in the total cost for each book printed is $10
∵ b is value y at x = 0
- That means b is the cost to get started before print any book)
∴ The cost to get started is $1250
You turn the decimal into a percent
