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2 years ago

Of all rectangles with a perimeter of 7, which one has the maximum area? (give the dimensions.)

Mathematics

1 answer:

Elena L [17]2 years ago

3 0

The rectangle with maximum area will actually be a square.

Each side will be of length 7/4 = 1 3/4.

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SportsBounceCo makes only boxes that have sides that are measured in whole inches, like the boxes you have been describing so fa

stepan [7]

Answer:

Step-by-step explanation:

Look at the surface area of the box formular : S = 2lw + 2lh + 2wh

When l : length. w: with and h: hight

As we often considered strange, you can always multiply a whole number by a whole number and always get a whole number, and there is no decimal number about the 3 dementions like the boxes you have been describing so far. So It is impossible.

6 0

3 years ago

The population of weights for men attending a local health club is normally distributed with a mean of 178-lbs and a standard de

V125BC [204]

Answer:

183.4286 lbs

Step-by-step explanation:

given that the population of weights for men attending a local health club is normally distributed with a mean of 178-lbs and a standard deviation of 25-lbs.

Total weight in the lift should not exceed 6420 lbs

No of persons limited = 35

Hence average weight of the person that should be below

$\frac{6420}{35} \\=183.4286$

If the average exceeds 183.4286 pounds then the elevator would be considered overloaded.

6 0

2 years ago

Calculate the slope

lesya692 [45]

Answer:

Undefined

Step-by-step explanation:

Slope us (y2-y1)/(x2-x1)

(9-4)/(3-3)

Cant divide by zero

3 0

2 years ago

Find the value of x to the nearest tenth.

vladimir1956 [14]

Answer:

The answer to your question is x = 14.7

Step-by-step explanation:

Data

∠A = 20°

∠B = 46

a = 7

b = x

Process

To solve this problem use, the law of sines. This law states that the ratio of a side of a triangle to the sine of the opposite angle is the same for all three sides.

The law of sines for this problem is

x / sin 46 = 7 / sin 20

-Solve for x

x = 7 sin 46 / sin 20

-Simplification

x = 7 (0.719) / 0.342

x = 5.035/0.342

-Result

x = 14.7

6 0

3 years ago

A major baseball diamond is a square with side lengths of 90 feet.

iren2701 [21]

Answer: $\bold{a)\quad 90\sqrt2\qquad \qquad b)\quad 45\sqrt2}$

<u>Step-by-step explanation:</u>

Since you are looking for the distance from home plate to second base, you are actually looking for the length of the diagonal of the square. Use the Pythagorean Theorem: a² + b² = c² where a and b are the side lengths and c is the length of the diagonal.

$90^2+90^2=c^2\\8100+8100=c^2\\16200=c^2\\\sqrt{16200}=c\\\boxed{90\sqrt2}=c\qquad \qquad \text{which is approximately 127.28}\\\\\\\\\text{Halfway between home plate and 2nd base means divide that length by 2:}\\\\\dfrac{90\sqrt2}{2}=\boxed{45\sqrt2}$

7 0

2 years ago

Of all rectangles with a perimeter of 7​, which one has the maximum​ area? (give the​ dimensions.)

Of all rectangles with a perimeter of 7, which one has the maximum area? (give the dimensions.)