Question:
Jordan is cutting a 2 meter by 
meter piece of rectangular paper into two pieces along its diagonal. what is the area of each of the pieces?
Answer:
Area of each piece of paper is 
.
Solution:
Length of the paper = 2 m
Width of the paper = m = 
m
<em>Area of the rectangle = length × width</em>
<em>Diagonal of a rectangle divides it into two equal parts.</em>
Area of each piece = Area of the rectangle ÷ 2
Area of each piece of paper is .
The rate at which the water from the container is being drained is 24 inches per second.
Given radius of right circular cone 4 inches .height being 5 inches, height of water is 2 inches and rate at which surface area is falling is 2 inches per second.
Looking at the image we can use similar triangle propert to derive the relationship:
r/R=h/H
where dh/dt=2.
Thus r/5=2/5
r=2 inches
Now from r/R=h/H
we have to write with initial values of cone and differentiate:
r/5=h/5
5r=5h
differentiating with respect to t
5 dr/dt=5 dh/dt
dh/dt is given as 2
5 dr/dt=5*-2
dr/dt=-2
Volume of cone is 1/3 π
We can find the rate at which the water is to be drained by using partial differentiation on the volume equation.
Thus
dv/dt=1/3 π(2rh*dr/dt)+(
*dh/dt)
Putting the values which are given and calculated we get
dv/dt=1/3π(2*2*2*2)+(4*2)
=1/3*3.14*(16+8)
=3.14*24/3.14
=24 inches per second
Hence the rate at which the water is drained from the container is 24 inches per second.
Learn more about differentaiation at brainly.com/question/954654
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Answer:
1. 2
2. 17
3. 6
4. 36
5. 37
6. 12
Step-by-step explanation:
1. 7-5=2
2. 30x17=510
3. 12x6=72
4. 4x9=36
5. 49-12=37
6. 9 plus 3=12
Answer:
Your answer is $5.39.
Step-by-step explanation:
There are 4 pairs of gloves. The unit price is only for a single pair of gloves, so divide the total cost by the pairs of gloves to get your answer: 21.56 ÷ 4 = 5.39. (Also, since we are talking about money, there would be a dollar sign next to 5.39: $5.39)
