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Alinara [238K]
3 years ago
14

What is the scale factor, perimeter ratio, surface ratio, and the volume ratio?????????????????????????????

Mathematics
1 answer:
tamaranim1 [39]3 years ago
3 0

Answer:

Scale factor = \frac{4}{9}

Perimeter ratio = 4 : 9

Surface area ratio = 16 : 81

Volume ratio = 64 : 729

Step-by-step explanation:

Volume ratio = \frac{\text{volume of small prism}}{\text{Volume of large prism}}

                      = \frac{128}{1458}

                      = \frac{64}{729}

                      = 64 : 729

Scale factor = \sqrt[3]{\frac{\text{volume of small prism}}{\text{Volume of large prism}}}

                    = \sqrt[3]{\frac{64}{729}}

                    = \frac{4}{9}

Perimeter ratio = Scale factor

                         = \frac{4}{9}

                         = 4 : 9

Surface area ratio = (Scale factor)²

                              = (\frac{4}{9})^{2}

                              = \frac{16}{81}

                              = 16 : 81

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Foil: (x+9)(3x-4)
QveST [7]

QUESTION 1

The given binomial is;

(x+9)(3x-4)

First terms are multiplied: x\times 3x=3x^2

Outside terms are multiplied: x\times -4=-4x

Inside terms are multiplied: 9\times 3x=27x

Last terms are Multiplied: 9\times -4=-36

This gives us;

=3x^2-4x+27x-36

=3x^2+23x-36

QUESTION 2

We want to factor

6r^5s+4r^4s^2-8r^2s

The HCF is 2r^2s

We factor to get;

2r^2s(3r^3+2r^2s-4)

QUESTION 3;

x^2+x-2=0

Split the middle term;

x^2+2x-x-2=0

Factor

x(x+2)-1(x+2)=0

(x+2)(x-1)=0

(x+2)=0,(x-1)=0

x=-2,x=1

The solutions are;

x=-2 and x=1

These are the x-intercepts of the graph of the function

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3 0
3 years ago
High grade steel consists of 85% iron and 15% magnese. Low grade steel consists of 67% iron and 33% mag ese. NASA orders 500 ton
Mamont248 [21]

Answer:

361\dfrac{1}{9} tons of high steel and 138\dfrac{8}{9} tons of low steel

Step-by-step explanation:

Let x be the number of tons of high grade steel and y be the number of tons ow low grade steel needed.

In x tons of high grade steel there are

0.85x tons of iron

0.15x tons of magnese

In y tons of low grade steel there are

0.67y tons of iron

0.33y tons of magnese

NASA orders 500 tons of steel, so

x+y=500

and specifies that it must be in the proportion 80% iron and 20% magnese, so

0.85x+0.67y=500\cdot 0.8\\ \\0.85x+0.67y=400

From the first equation,

x=500-y

Substitute it into the second equation:

0.85(500-y)+0.67y=400\\ \\425-0.85y+0.67y=400\\ \\-0.18y=-25\\ \\y=\dfrac{2,500}{18}=138\dfrac{8}{9}\ tons\\ \\x=361\dfrac{1}{9}\ tons

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3 years ago
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Answer:

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6 0
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the length of a rectangle is 2 inches less than twice its width. If the perimeter of the rectangle is 74 inches, what is the are
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Step-by-step explanation:

Believe me friend

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