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Minchanka [31]
3 years ago
9

A rectangle has a length of 10 inches and a perimeter of 48 inches. Which equation could be used to find the width of the rectan

gle?
a. 48 = 10w
b. 48 = 20 – 2w
c. 48 = 40w
d. 48 = 20+2w
Mathematics
1 answer:
Art [367]3 years ago
4 0
D. 48=20+2w
<em>because the perimeter (48) is equal to 2 times the width (2w) and 2 times the length (2*10)</em>
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0.98 as a unsimplified fraction would be 98/100. The simplified fraction would be 49/50 hope this helped
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What is the exact volume of the cone with a radius of 7in and a height of 4in use 3.14 for π
vfiekz [6]

Answer:

The exact volume of the cone is \frac{196}{3}\pi\ in^{3}

Step-by-step explanation:

we know that

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we have

r=7\ in

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substitute the values

V=\frac{1}{3}\pi (7^{2})(4)=\frac{196}{3}\pi\ in^{3}

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In a small town, the use of coal (W in tons/per
zimovet [89]

Answer:

i)W = 2500 / T

ii)  W = 500 Tons

iii) grad W(10°) = - 25î

iv) The formulation is not practical

Step-by-step explanation:

i)  Write an equation describing the use of coal

As use of coal is inversely proportional to the average monthly temperature

if  W is use of coal in tons/per month then

W(t)  =   k / T              where k is a constant of proportionality and T is the average temperature in degrees. We have to determine k from given conditions

k  =  ??   we know that when   T  =  25°    W = 100 tons  the by subtitution

W = k/T           100  =  k /25       k  =  2500 Tons*degree

Then final equation is:

W = 2500 / T

ii) Find the amount of coal when T = 5 degrees

W = 2500 / 5

W = 500 Tons

iii)

The inverse proportionality implies that W will decrease as T increase.

The vector gradient of W function is:

grad W  = DW(t)/dt î  

grad W  = - 2500/T² î

Wich agrees with the fact that W is decreasing.

And when T = 100°

grad W(10°) =  - 2500/ 100 î      ⇒  grad W(10°) = - 25î

iv) When T =  0  The quantity of coal tends to infinite and the previous formulation is not practical

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Answer:

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Step-by-step explanation:

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