The width of the pathway is 3m
Step-by-step explanation:
Let the width of the pathway be 'w'
The area will be 130 square meters
The dimensions of the garden is 10 x 7
Area = (10+w) (7+w)
130 = 70 + 17w + w^2
w^2 + 17w - 60 = 0
w^2 +20w - 3w - 60 = 0
w ( w + 20) - 3 ( w + 20) = 0
(w + 20) (w - 3) = 0
w = -20 ( or) w = 3
w is the width and cannot be negative.
So, w = 3 meters
The width of the pathway is 3m
Ok, so you know that we can't divide fractions no matter what. The first thing you do is keep the first fraction, then change the divide sign to multiplication ( opposite of division is multi. ) and finallly flip the last fraction to 7/1 .
Here's a video to help you understand that method more ...
https://www.youtube.com/watch?v=uMz4Hause-o
The answer ends up as 6.53333333333
Hope this helps !
Answer:
<h3>
33.3%</h3>
Step-by-step explanation:
Using the formula for calculating simple interest as shown;
Simple Interest = Principal * Rate *Time/100
Principal = Cost of tablet = $1500
Interest after one year = $1500-$1000 = $500
Time = 1year
Substituting this values into the formula;
The interest rate that her parents assumed is 33.3%
group the 1st 2 terms and last 2 terms:
(Z63 -2z^2) + (9z-18)
factor out GCF:
z^2(z-2) + 9(z-2)
now factor the polynomial:
(z-2) (z^2+9)
For this case we have the following equation:
w = F • PQ
Where,
w: work done
F: is the force vector
PQ: is the vector of the direction of movement.
Rewriting the equation we have:
w = || F || • || PQ || costheta
Substituting values:
w = (60) * (100) * (cos (45))
w = (60) * (100) * (root (2) / 2)
w = 4242.640687 lb.ft
Answer:
The work done pushing the lawn mower is:
w = 4242.6 lb.ft
