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2 years ago

Order the fallowing numbers least to gratest -4 2 3 1 PLEASE I NEED HELP

Mathematics

1 answer:

barxatty [35]2 years ago

4 0

-4, 1, 2, 3
Explanation: we know the order of 123 and negative 4 is pass 0 is it’s the leadst

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The width of a rectangle is eight yards less than twice the length. The perimeter is 86 yards. Find

Galina-37 [17]

Answer:

Length is 30cm

Width is 13cm

Step-by-step explanation:

Let the width be x cm;

The length will be 2x + 4 cm

Perimeter = 86cm

Perimeter is given by (2 × length) + (2 × width)

2(2x + 4) + 2x = 86cm

4x + 8 + 2x = 86cm

6x = 86 - 8 = 78cm

x = 78/6 = 13cm

Width (x) = 13cm

Length = 2(13) + 4 = 26 + 4 = 30cm

Step-by-step explanation:

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Which of the points shown below are on the line given by the equation y = x? Check all that apply.

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Answer:

Only point D

Step-by-step explanation:

y=x would mean that both x and y are the same

only D has x and y co-ordinates that are the same

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Your task is to build a road joining a ranch to a highway that enables drivers to reach the city in the shortest time. The perpe

lubasha [3.4K]

Answer:

(a)In the attachment

(b)The road of length 35.79 km should be built such that it joins the highway at 19.52km from the perpendicular point P.

Step-by-step explanation:

(a)In the attachment

(b)The distance that enables the driver to reach the city in the shortest time is denoted by the Straight Line RM (from the Ranch to Point M)

First, let us determine length of line RM.

Using Pythagoras theorem

$|RM|^{2}=30^2+x^2\\|RM|=\sqrt{30^2+x^2}$

The Speed limit on the Road is 60 km/h and 110 km/h on the highway.

Time Taken = Distance/Time

Time taken on the road $=\frac{\sqrt{30^2+x^2}}{60}$

Time taken on the highway $=\frac{50-x}{110}$

Total time taken to travel, T $=\frac{\sqrt{30^2+x^2}}{60}+\frac{50-x}{110}$

Minimum time taken occurs when the derivative of T equals 0.

$T^{'}=\frac{x}{60\sqrt{30^2+x^2}}-\frac{1}{110}\\\frac{x}{60\sqrt{30^2+x^2}}-\frac{1}{110}=0\\\frac{x}{60\sqrt{30^2+x^2}}=\frac{1}{110}\\110x=60\sqrt{30^2+x^2}\\$

Square both sides

$12100x^2=3600(30^2+x^2)\\12100x^2=3240000+3600x^2\\12100x^2-3600x^2=3240000\\8500x^2=3240000\\x^2=\frac{3240000}{8500} =381.18\\x=\sqrt{381.18} =19.52$