Answer:
a.2010 rad/min
b.2412 feet/min
Step-by-step explanation:
We are given that
Diameter of wheel,d=2.4 feet
Radius,r=
a.Rate=320 rev/minute
1 rev=
radian
320 rev/minute=
Where 
Angular speed=
b.Speed,v=
Let
x--------> <span>represents the length of a single tile
L-------> t</span><span>he length of the floor
W------> the</span><span> width of the floor
A--------> </span>area of a tiled kitchen floor
<span>
we know that
A=W*L
A=</span>4x²<span> + 24x + 27
</span>so
W*L=4x² + 24x + 27---------> equation 1
L=2x+9------> equation 2
substitute equation 2 in equation 1
W*[2x+9]=4x² + 24x + 27
W=[4x² + 24x + 27]/[2x+9]
therefore
the answer is
the <span>expression that represents the width of the kitchen in terms of x is
</span>W=[4x² + 24x + 27]/[2x+9]
the answer should be 38m+22. hope this helped you!! :)
<h3>
Answer: Rs 2500</h3>
======================================================
Explanation:
Compute the simple interest on a deposit of x
The per annum (p.a.) interest rate is r = 0.12 from the 12% value mentioned.
We do so over t = 2 years
i = p*r*t
i = x*0.12*2
i = 0.24x
Let A = 0.24x
Do the same for the compound interest. We'll have n = 1 to reflect annual compounding.
i = p*(1+r/n)^(n*t) - p
i = x*(1+0.12/1)^(1*2) - x
i = 1.2544x - x
i = 0.2544x
Let B = 0.2544x
We're told that "The simple interest on a sum of money in 2 years is Rs 36 less than the compound interest compounded annually"
This means the interest earned in the simple interest (value A) is Rs 36 less than the amount earned with quantity B
So,
A = B-36
0.24x = 0.2544x - 36
0.24x - 0.2544x = -36
-0.0144x = -36
x = -36/(-0.0144)
x = 2500
The amount invested or deposited is Rs 2500
Given that John builds a square dog pen that has an area of 81 square feet;
