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3 years ago

Make u the subject v2 = u²+ 2as

Mathematics

1 answer:

yaroslaw [1]3 years ago

5 0

Answer:

Okay, I am going to solve the problem assuming that we are finding u.

Step-by-step explanation:

v² = u² + 2as

We minus 2as on each side to keep u² by itself.

u² = v² - 2as

u = sqrt( v² - 2as )

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The city park department is planning to enclose a play area with fencing. One side of the area will be against an existing build

Oksanka [162]

Answer:

The maximum rectangular area will have the length 400 meters and width 200 meters with one side of the length against an existing building.

Step-by-step explanation:

From the given information;

The perimeter of a rectangle = 2 (L+B)

here;

L = the length of the side of the fence

B = the width of the fence

So; The perimeter of a rectangle = 2L+2B

we are also being told that;

One side of the area will be against an existing building

i.e

The perimeter of a rectangle is now = L + 2B = 800 meters

L = 800 - 2B

Similarly; Area of a rectangle = L × B

Area of a rectangle = ( 800 - 2B) × B

Area of a rectangle = 800B - 2B²

assuming A(B) to represent the Area;

Then the maximum area A'(B) = 0 ;

Thus,

A'(B) = 800 - 4B = 0

-4B = - 800

4B = 800

B = 200

Therefore; the maximum area have a width = 200 meters and a length 800 - 2(200) = 800 - 400 = 400 meters

3 0

4 years ago

Prove: an odd number squared is an odd number

densk [106]

Answer:

2(2n² + 2n) + 1

Step-by-step explanation:

(2n + 1)² can also written as

(2n + 1) × (2n + 1)

= 4n² + 2n + 2n + 1

= 4n² + 4n + 1

= 2(2n² + 2n) + 1

= an odd

Hence Proved!

<u>-TheUnknownScientist</u><u> 72</u>

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3 years ago

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Step-by-step explanation:

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3 years ago

Find the volume of the composite figure. Round to the nearest tenth. The base of each pyramid is a square with a side length of

nataly862011 [7]

Answer:

$75$ cubic inches

Step-by-step explanation:

Given:

The base of each pyramid is a square with a side length of 5 inches

Height of of pyramid is 9 inches.

To find: volume of the pyramid

Solution:

As the base of each pyramid is a square with a side length of 5 inches,

length of the pyramid (l) = base of the pyramid (b) = 5 inches

Height of of pyramid (h) = 9 inches

Volume of the pyramid $(V)=\frac{lbh}{3}$

On putting values of l, b and h, we get

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3 years ago

What should you do to solve the equation? 45 = x + 38

antoniya [11.8K]

All you have to do is subtract 38 from 45 to get 7 as your answer.

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3 years ago

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