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3 years ago

Help on question 30!!

Mathematics

1 answer:

Basile [38]3 years ago

3 0

The given identity tells you ...
.. (sum of numbers) * (sum of squares - product) = (sum of cubes)

Substituting the given information, you have
.. (sum of numbers) * (29 -10) = 133
Then you can divide by (29 -10) to get
.. sum of numbers = 133/19 = 7

The sum of the two numbers is 7.

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3 years ago

You invest $350 in an account with an interest rate of 1.2% compounded continuously. How much money would be in the account afte

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3 years ago

An open box is made from a 20-cm by 50-cm piece of tin by cutting a square from each corner and folding up the edges. The area

kipiarov [429]

Answer:

Therefore,

The length of the sides of the squares is

$x=7\ cm$

Step-by-step explanation:

Let "x" be the length of Cut Square,

As the tin size(Dimension) is

20 cm × 50 cm

So the size(Dimension) of box will be

(20 - 2x) × (50 - 2x)

Length = 50 - 2x

Width = 20 - 2x

Area of base of box = 216 cm²

To Find:

x = ?

Solution:

Area of Rectangular field is given by

$(Area\ of\ Rectangle(Box)) = Length\times Width$

Substituting the values we get

$216=(50-2x)(20-2x)$

Applying Distributive property we get

$216=1000-100x-40x+4x^{2}$

$4x^{2}-140x+784=0$

Dividing throughout by 4 we get

$x^{2}-35x+196=0$

On Factorizing we get

$x^{2}-28x-7x+196=0\\\\(x-7)(x-28)=0\\\\x-7=0\ or\ x-28=0\\\\x=7\ or\ x = 28$

As x cannot be 28 because tin size is 20 cm × 50 cm i.e longer than 20

Therefore,

$x=7\ cm$

Therefore,

The length of the sides of the squares is

$x=7\ cm$

5 0

3 years ago

Read 2 more answers

What is the volume of a rectangular prism with side lengths 15.8 m, 24.5 m, and 4.2 m? Round to the nearest cubic meter.

xenn [34]

Answer: 1,626 cubic meters

Step-by-step explanation:

V= lwh

V= length x with x height

Each number isn't specified (i dont know which numbers represent the width, length, and height since it isn't said) but that doesn't matter because according to the commutative property , you can multiply in any order and still get the same result.

So V= 15.8 x 24.5 x 4.2

V= 1,625.82

Rounded to the nearest cubic meter: 1,626 because 1625.82 becomes 1625.8, which, to the nearest whole number, is 1,626.

4 0

2 years ago

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Leyla drops a penny from a height of 150m. How long will it take to hit the ground? Round to the nearest tenth of a second. use

Llana [10]

A graphing calculator shows it will take about 5.5 seconds.

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3 years ago