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san4es73 [151]
2 years ago
9

Peter has decided to save $30 each week to buy a new stereo system.Write a direct variation equation for the amount of money, m,

that Peter has saved in, w, weeks.
Mathematics
1 answer:
Lena [83]2 years ago
3 0
M=w-30 is the answer if you want to find how much you want to find each week.
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Answer:

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Step-by-step explanation:

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Maurinko [17]
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Answer:

The first first box needs  600 cm^2 more brown paper for wrapping

Step-by-step explanation:

Given:

First box:

Square base

Length of the base side =  30 cm

Height of the pyramid = 45 cm

Second Box:

octagonal base

base perimeter =  120 cm

width = 10 cm

Height =  35 cm

To Find:

Which box requires more paper to wrap, and by how much?

Solution:

To Find the amount are brown paper needed to wrap, lets find the surface area of the pyramids

Step: Finding the surface area of the box 1

The First box is square pyramid:

= base square area + 4 x area of side triangle

Base square area:

Area of the square  = side x side

=  30 x 30

=900 centimetre square

Area of triangle

=\frac{1}{2} base \times height

=>\frac{1}{2} (30 \times 45)

=>\frac{1350}{2}

=>675 centimetre square

Thus the total brown paper needed for wrapping the first box

= 900 + 675

= 1575  centimetre square--------------------------------(1)

Step 2: Finding the surface area of the box 2

The second box is octagonal pyramid:

= base octagonal area + 8 x area of side triangle

Base octagonal area:

Area of the base of the octagon = 8 x area of one triangle

area of one triangle =  \frac{1}{2} base \times  height

= \frac{1}{2} 15 \times 10

= \frac{150}{2}

=75 centimetre square

Area of the base of the octagon = 8 x 75 = 600 centimetre square

Area of the side triangles  

=   \frac{1}{2} base \times  height

= \frac{1}{2} (45 \times 15)

=\frac{675}{2}

= 337.5 centimetre square

Thus the total surface of the octagonal pyramid is  

= 600 +375  

=975 centimetres square -------------------------------(2)

On comparing (1) and(2)

1575 -975 = 600

The first box requires 600 cm^2 more brown paper for wrapping

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