Answer:
3600 gallons of water was removed from the basement.
Step-by-step explanation:
Given:
Rate of each pump = 40 gallons/min
We need to find find the number of gallons of water removed from the basement.
Solution:
Now Given:
After half an hour, the one pump burns out.
Now we know that;
1 hour = 60 mins
hour = 
Now for 30 mins both the pumps were working and removing the water.
So we can say that;
Water remove for first 30 mins = 
Also Given:
the second pump finishes removing the water half an hour later.
So we can say that;
Water removed for next 30 mins = 
Now we can say that;
Total water removed from the basement is equal to sum of Water remove for first 30 mins and Water removed for next 30 mins .
framing in equation form we get;
Total water removed from the basement = 
Hence 3600 gallons of water was removed from the basement.
1 dozen = 12 apples.
3 apples cost 0.48, multiply that by 4 to get the price of 1 dozen.
0.48 x 4 = $1.92 per dozen.
Divide the total you can spend ( 3.84) by cost per dozen:
3.48 / 1.92 = 2
You can buy 2 dozen.
Well costheta=1, at 0, 2pi,...
knowing this we can exclude the first two as the are not undefined anywhere.
tan is sin/cos, at 0 sin is also 0 so it becomes 0/1 which is 0, not undefined.
sec is1/cos, cos is 1, this is just 1
csc is 1/sin, sin is 0, 1/0 is undefined, meaning there will be an asymptote
cot is cos/sin, this is again 1/0, so it is also an asymptote
The last two answers are the ones you want
Answer:
The circumference of Meg’s picture frame is the perimeter of Pam’s picture frame by approximately 0.65 ft
Step-by-step explanation:
Pam's picture frame : Square with area of 3 sq. foot
Meg’s picture frame is a circle with a radius, r of 1 foot.
The circumference of Meg’s picture frame is the perimeter of Pam’s picture frame by approximately feet.
Let's calculate circumference of Meg's picture frame:
Circumference c, = 2πr
r = 1 ft
c = 2 * 3.14 *1 = 6.28 ft
Now calculate Perimeter of Pam's picture frame:
A is area of square and s is the side
A = s²
s² = 3
s = √3
Permeter of square = 4s
= 4√3 = 6.93ft
Now in order to find circumference of Meg’s picture frame is the perimeter of Pam’s picture frame, we have to find their difference.
Permimeter of square frame - Circumference of circle frame = 6.93 - 6.28 = 0.65
Triangle has 180 degree in total, in order to get x, you use 180-70-75=35
