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3 years ago

Figure A is a scale image of figure B.

Mathematics

1 answer:

Vilka [71]3 years ago

8 0

Answer 6

Step-by-step explanation:

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You have 42 ft. of fencing (1 ft. segments) to make a rectangular garden. How much should each side be to maximize your total ar

Verizon [17]

Answer:

$Length=10.5\ ft$

$Width=10.5\ ft$

$Area=110.25\ ft^{2}$

Step-by-step explanation:

Let

x----> the length of the rectangular garden

y---> the width of the rectangular garden

we know that

The perimeter of the rectangle is equal to

$P=2(x+y)$

we have

$P=42\ ft$

$42=2(x+y)$

simplify

$21=(x+y)$

$y=21-x$ ------> equation A

Remember that the area of rectangle is equal to

$A=xy$ ----> equation B

substitute equation A in equation B

$A=x(21-x)$

$A=21x-x^{2}$ ----> this is a vertical parabola open downward

The vertex is a maximum

The y-coordinate of the vertex is the maximum area

The x-coordinate of the vertex is the length side of the rectangle that maximize the area

using a graphing tool

The vertex is the point $(10.5,110.25)$

see the attached figure

$x=10.5\ ft$

Find the value of y

$y=21-10.5=10.5\ ft$

The garden is a square

the area is equal to

$A=(10.5)(10.5)=110.25\ ft^{2}$ ----> is equal to the y-coordinate of the vertex is correct

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Adding and Subtracting Fractions Solve each problem. Write your answer as a mixed number(if possible) 1. 2 1/9 - 7/6= 2. 2/3 + 2

AleksandrR [38]

1) 1 1/6
2) 1 1/6
4) 5 1/ 18

hope you got your answer i didn't know what number 3 was so i did the rest

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344531 to the nearest tenth

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If it is 7:00pm what time will it be in 14 hours?

Misha Larkins [42]

After 14 hours, it will be 9:00 AM.

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PLEASE HELP FIRST GETS BRAINLIEST!!!!!!

loris [4]

$|\Omega|=12\cdot11=132\\ |A|=5\cdot4=20\\\\ P(A)=\dfrac{20}{132}=\dfrac{5}{33}$

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3 years ago