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3 years ago

I’m still confused, on this

Mathematics

1 answer:

BlackZzzverrR [31]3 years ago

4 0

d is one

the rest idk

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Consider a rectangle of length L inches and width W inches. Find a formula for the perimeter of the rectangle. Use upper case le

malfutka [58]

Answer:

a) P=2(L+W)

b) $\frac{dp}{dt}=2\frac{dL}{dt}+2\frac{dW}{dt}$

c)-2 inch/hour

Step-by-step explanation:

given:

length of the rectangle as L inches

width of the rectangle as W inches

a) The perimeter is defined as the measure of the exterior boundaries

therefore, for the rectangle the perimeter 'P' will be

P= length of AB+BC+CD+DA (A,B,C and D are marked on the figure attached)

Now from figure

P= L+W+L+W

=> P=2L+2W .....................(1)

b)now dp/dt can be found as by differentiating the equation (1)

$\frac{dP}{dt}=2(\frac{dL}{dt} )+2(\frac{dW}{dt} )$ .............(2)

c)Now it is given for the part c of the question that

L=40 inches

W=104 inches

dL/dt=2 inches/hour

dW/dt= -3 inches/hour (here the negative sign depicts the decrease in the dimension)

substituting the above values in the equation (2) we get

$\frac{dP}{dt}=2(2)+2(-3)$

$\frac{dP}{dt}=4-6=-2 inches/hour$

5 0

3 years ago

Simplify the fraction completely.

dimulka [17.4K]

Answer:

3/20

Step-by-step explanation:

15 and 100 both have a common factor of 5. To simply an expression, you have to get both the numerator (top number) and the denominator (bottom number) to be as low as possible (to make it so that both can't be divided anymore or don't have shared factors). We divide both sides by 5 (which still retains as an integer and has the same value) and so 15/3=5 and 100/5=20.

Have a nice day! :)

5 0

2 years ago

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True or false: you can pull perfect squares out of radicands to simplify radicals

fgiga [73]

Answer:

True

Step-by-step explanation:

4 0

3 years ago

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