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My name is Ann [436]
3 years ago
9

The perimeter of a rectangular garden is 860 ft. the two short sides of the garden are each 30 ft long. you are asked to find th

e length of the other sides. which equation models this situation?
Mathematics
1 answer:
garik1379 [7]3 years ago
4 0
<span>2(30)+2x=860 

This is because the 4 sides of the rectangle add up to the perimeter. 
The unknown side is x, and there are two of those, and there are also two sides of 30. 
They all add up to the perimeter. 

So: 
2(30) + 2x = 860</span>
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dangina [55]

Answer:

40008 07 is the answer good luck :)

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3 years ago
Approximate the change in the volume of a sphere when its radius changes from r= 5ft to r= 5.1ft (v(r)= 3/4 pi r^3)?
leva [86]

Answer:

18.03 cubic feet

Step-by-step explanation:

Hello,

Step 1

find the volume of the sphere when radius= 5 ft

v(r)= \frac{3}{4} \pi r^3\\v(5)= \frac{3}{4}\pi (5\ ft)^3\\v(5)= \frac{3}{4}\pi *125\ ft^{3} \\v(5)=294.52\ cubic\ feet\\

Step 2

find the volume of the sphere when radius= 5.1 ft

v(r)= \frac{3}{4}\pi r^3\\v(5.1)= \frac{3}{4} \pi (5.1\ ft)^3\\v(5.1)= \frac{3}{4}\pi *132.651\ ft^{3} \\v(5.1)=312.551\ cubic\ feet\\\\

Step 3

Compare the Volumes to find the change

\frac{v(r_{2})}{v(r_{1})} =\frac{312.551}{294.52} =1.06

the volumen of the sphere with radius = 5.1 is 1.06 times bigger than the first one(r=5)

Now, find the change

change= {v(r_{2})-{v(r_{1})}} \\change=312.551\ cubic\ feet\ -294.52 cubic feet \\ change=18.031\ cubic\ feet

change=18.03 cubic feet

Have a great day.

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3 years ago
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Answer:

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Step-by-step explanation:

15x11+(29x42)

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3 0
3 years ago
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SpyIntel [72]

Answer:

n how many ways can a president, vice president, and a secretary be chosen? It is 12X11X10. Permutation of n things taken r at a time: nPr=n!/(n-r)! 12P3=12*11*10*9!/9!= 12*11*10=1320 ways.

Step-by-step explanation:

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Log3+logx=5/2<br>find x​
Naya [18.7K]

Answer:

x = 105.4

Step-by-step explanation:

We are given;

Log 3 + log x = 5/2

We are required to find x;

We are going to use the laws of logarithms to solve for x

That is;

log a + lob b = log(ab)

Therefore;

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log 3x = 2.5

we get , 3x = 10^2.5

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Thus, the value of x is 105.4

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3 years ago
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