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adoni [48]
3 years ago
13

Peter is trying to buy fencing for the perimeter of his garden. His garden is in the shape of a rectangle with a length of 2(x+6

)feet and a width of 3.5x feet. How many feet of fencing will he need to buy? Write and simplify an expression to represent this situation? What properties did you use?
SHOW ALL WORK
Mathematics
1 answer:
RideAnS [48]3 years ago
4 0

Given dimensions of a rectangular garden are:

length = 2(x+6) feet

width = 3.5x feet

using the distributive property on length we get, length = 2x+12

Perimeter of a rectangle is 2(length+width)

So, P = 2(2x+12+3.5x)

Solving it we get,

P = 2(5.5x +12)   ..............adding like terms

P = (2\times5.5)+(2\times12) .............multiplying and adding

P = 11x+24

So, perimeter is 11x+24 feet. This value of fencing will be needed.

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Answer:

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Step-by-step explanation:

The volume of a sphere is given by the formula: V=\frac{4}{3} \pi r^3. In this formula:

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Since we are given the volume of the sphere (36 units^3), we just need to solve for r in the equation for the volume of a sphere.

Substitute 36 for V into the formula and solve for r.

36=\frac{4}{3} \pi r^3

Divide both sides by \frac{4}{3}. To do this, multiply 36 by the reciprocal of \frac{4}{3}.

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Now divide both sides of the equation by pi (\pi).

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Rewrite the equation.

8.59436692696=r^3

To isolate and solve for r, cube root both sides of the equation.

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The radius of this sphere is 2.04835218977 units. If your question wants this rounded to the nearest:

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I'll just give the answer rounded to the nearest hundredth as that seems the most popular.

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