Answer:
2 acres/hour
Step-by-step explanation:
Please share the possible answer choices. Thank you.
If two points on this straight line graph are (3, 1.5) and (5, 2.5), then we can find the slope of this line as follows:
As we move right from x = 3 to x = 5, x (the "run") increases by 2 and y (the "rise") increases by 1. Thus, the slope of this line is m = rise / run = 2/1, or
m = 2.
area mowed
The units of measurement here are m = ----------------------
time spent
and so we could conclude that the rate is 2 acres per hour.
First off, consecutive integer and can be written as n, n+1 and n+2
(try putting a number in for n if it does not make sense yet)
The sum of the first and twice the second would be n+2(n+1)
So, our equation becomes
n+2(n+1)=110-3(n+2)
n+2n+2=110-3n-6
3n+2=104
6n=102
n=17
so, our three term are 17,18 and 19
Answer:
∠2=67°
Step-by-step explanation:
Angles along a straight line add up to 180. Therefore:
∠1+∠2=180
113+∠2=180
∠2=180-113
∠2=67°
Answer: height of the tower is 1064 feet
Step-by-step explanation:
We want to determine the height of the tower.
Assuming her line of sight of the top of the tower is a straight line, then a right angle triangle is formed. The height, h of the tower represents the opposite side of the triangle. Her distance from the foot of the tower represents the adjacent side of the triangle.
To determine h, we would apply the tangent trigonometric ratio which is expressed as
Tan θ = opposite side/adjacent side
Therefore,
Tan 85.7 = h/80
h = 80tan 85.7
h = 1064 feet
Answer:
Rewriting the expression 
with a rational exponent as a radical expression we get ![\mathbf{\sqrt[9]{3} }](https://tex.z-dn.net/?f=%5Cmathbf%7B%5Csqrt%5B9%5D%7B3%7D%20%7D)
Step-by-step explanation:
We need to rewrite the expression with a rational exponent as a radical expression.
The expression given is:
First we will simply the expression using exponent rule 
As we know 2 and 18 are both divisible by 2, we can write
Now we know that ![a^\frac{1}{9}=\sqrt[9]{a}](https://tex.z-dn.net/?f=a%5E%5Cfrac%7B1%7D%7B9%7D%3D%5Csqrt%5B9%5D%7Ba%7D)
Using this we get
![=\sqrt[9]{3}](https://tex.z-dn.net/?f=%3D%5Csqrt%5B9%5D%7B3%7D)
So, rewriting the expression with a rational exponent as a radical expression we get
