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likoan [24]
3 years ago
6

Find the length and width of a rectangle that has the given perimeter and a maximum area. perimeter: 316 meters

Mathematics
1 answer:
Ulleksa [173]3 years ago
8 0
Short answer: the rectangle is a square, so the length and width are ...
  (316 m)/4 = 79 m.

_____
Let x represent the length of the rectangle. Then the width in meters is 316/2 -x. The area is the product of length and width.
  area = x(158 -x)
This is the equation of a parabola that opens downward. It has zeros at x=0 and x=158. The vertex is on the line of symmetry, halfway between the zeros, at x=79.

The length is 79 m.
The width is 158 -79 = 79 m.

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Compare 6 ⋅ 108 to 3 ⋅ 106.
djverab [1.8K]

Answer:

6*10^8  is 200 times larger than  3*10^6

Step-by-step explanation:

6*10^8\ and \ 3*10^6

To compare both values we divide the exponents

\frac{6*10^8}{3*10^6}

6 divide by 3 is 2

for simplify exponents we use exponential property

a^m / a^n = a^(m-n)

\frac{10^8}{10^6}=10^2

\frac{6*10^8}{3*10^6}=2*10^2= 200

6*10^8  is 200 times larger than  3*10^6

4 0
3 years ago
Read 2 more answers
PLZZZ NEED HELP!!!!!!
Nuetrik [128]
Uhh thats a test...... a or b
4 0
3 years ago
Read 2 more answers
HELP!!! First gets Top Answer!!!
Marta_Voda [28]
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4 0
3 years ago
Solve the equation. 2x+1/3+x-1/4=13/2
inessss [21]

The solution of the equation is x = 71 / 36.

<h3>How to solve an equation with one variable</h3>

Herein we have an equation with several rational constants and only one variable, x, which has to be cleared by using algebra procedures. The procedure is shown below:

2 · x + 1 / 3 + x - 1 / 4 = 13 / 2           Given

2 · x + x = 13 / 2 - 1 / 3 - 1 / 4            Compatibility with addition / Existence of additive inverse / Modulative property

3 · x = 71 / 12                                    Definitions of addition and subtraction / Distributive property

x = 71 / 36                                         Compatibility with multiplication / Existence of multiplicative inverse / Modulative property / Result

The solution of the equation is x = 71 / 36.

To learn more on equations: brainly.com/question/10413253

#SPJ1

4 0
1 year ago
How do I find X in this problem
pogonyaev
You know that BC is congruent to x so you need to solve for x using the ratio:
\frac{12}{24}=\frac{x}{BC}

So then we need to find BC.

We know:
A=\frac{base \times height}{2}
28=\frac{BC \times 7}{2}
Therefore BC =8

Then:
\frac{12}{24}=\frac{x}{8}
x=8 \times \frac{12}{24} = 4
4 0
3 years ago
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