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iris [78.8K]
2 years ago
7

The side lengths of a rectangle are all multiplied by 5. What happens to its perimeter?

Mathematics
1 answer:
stiv31 [10]2 years ago
8 0

Answer:

The perimeter is multiplied by 5.

Step-by-step explanation:

Perimeter of a rectangle:

The perimeter of a rectangle with sides l and w is given by:

P = 2(l + w)

The side lengths of a rectangle are all multiplied by 5.

This means that l = 5l, w = 5w. So

P_M = 2(5l + 5w) = 2*5(l+w) = 10(l + w)

What happens to its perimeter?

The rate is:

\frac{P_M}{P} = \frac{10(l+w)}{2(l+w)} = 5

The perimeter is multiplied by 5.

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There 1,32,600 possibilities to withdrawn 3 different sequence of playing cards from 52 cards.

<h3>What is Permutations?</h3>

A permutation of a set is, loosely speaking, an arrangement of its members into a sequence or linear order, or if the set is already ordered, a rearrangement of its elements.

Here, total number of cards = 52

         Number of Withdrawn cards = 3

Possibilities of different sequences of 3 playing cards = 52 X 51 X 50

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Below is a list of city elevations.
Nezavi [6.7K]

Answer:

Oxford, MS, has the highest elevation.

Death Valley, CA, has the lowest elevation.

The elevation of New Orleans, LA, is at sea level.

The elevation of Death Valley, CA, is the furthest from sea level.

Step-by-step explanation:

Given the elevations of few cities as follows:

Elevation of Oxford, MS = 178 feet

Elevation of Death Valley, CA  = -282 feet

Elevation of New Orleans, LA  = 0 feet

Elevation of Palm Beach, FL  = 13 feet

To find:

The true statement of the following:

Oxford, MS, has the highest elevation.

Death Valley, CA, has the lowest elevation.

West Palm Beach, FL, has the lowest elevation.

The elevation of Death Valley, CA, is at sea level.

The elevation of New Orleans, LA, is at sea level.

The elevation of Death Valley, CA, is the furthest from sea level.

The elevation of New Orleans, LA, is the furthest from sea level.

Solution:

First of all, let us put the given elevations in ascending order.

Smallest value is -282 feet, then 0 feet, then 13 feet and then 178 feet.

-282 < 0 < 13 < 178 feet

i.e.

Elevation of Death Valley < Elevation of New Orleans < Elevation of West Palm Beach < Elevation of Oxford

Elevation of 0 feet means that it is at the sea level i.e. New Orleans is at sea level.

Largest value is 178 i.e. the highest elevation is of Oxford.

Minimum value is -282 i.e. the lowest elevation is of Death Valley.

Death valley is furthest from sea level at a distance of 282 feet.

Therefore, the answer is:

Oxford, MS, has the highest elevation.

Death Valley, CA, has the lowest elevation.

The elevation of New Orleans, LA, is at sea level.

The elevation of Death Valley, CA, is the furthest from sea level.

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