Answer:
25 ft
Step-by-step explanation:
The area of this landing pad is 1,962.5 ft², which equals πr².
We solve this equation for r²:
1962.5 ft²
r² = ----------------- = 625 ft²
3.14
Taking the square root of both sides, we get:
r = √(625 ft²) = 25 ft
The radius is 25 ft.
Answer:
y = -4
Step-by-step explanation:
First, let's find the slope. Since the line is horizontal, it's slope has to be 0 (this is because slope = rise/run, there is no "rise" in a horizontal line therefore the slope is 0)
Now, we need to find the y-intercept. This is where the line intercepts the y-axis. Looking at the graph, the line intercepts the axis at (0,-4), therefore the y-intercept is -4.
The equation would be:
y=0x-4
y=-4
The main idea here is to "translate" the words into maths.
First we need to identify the unknowns and label these.
We need to know the number if dimes and the number of quarters. So lets say
x: number of dimes
y: number of quarters
Now lets write equations from the written problem.
We know that there are 36 coind total, thus:
x + y = 36
We also know that the coins total 5.85 dollars, but it is better to count in cents, that is 585 cents.
x are the number of dimes, their value is x*10
y are quarters with value of y*25
thus:
10x+25y=585
We have two equations and two unknowns now, that needs to be solved to get the answer.
x + y = 36
10x+25y=585
