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2 years ago

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The Eiffel Tower is 984 feet. A model of the tower is 24 inches tall. What is the ratio of the height of the model to the height

of the actual Eiffel Tower?

1 answer:

melamori03 [73]2 years ago

6 0

Answer:

The ratio is $\frac{1}{492}$

Step-by-step explanation:

Remember that

1 ft=12 in

The Eiffel Tower is 984 feet

Convert to inches

984 ft=984*12=11,808 in

<em>Find the ratio of the height of the model to the height of the actual Eiffel Tower</em>

The height of the model is 24 in

The height of the actual Eiffel Tower is 11,808 in

the ratio is equal to

$\frac{24}{11,808}=\frac{1}{492}$

That means----> The height of the actual Eiffel Tower is 492 times greater than the height of the model

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Draw at least six different sized rectangles that have an area of 64 square units

olga_2 [115]

Let

x------> the length of the rectangle

y------> the width of the rectangle

we know that

The area of a rectangle is equal to

$A=x*y$

$A=64\ units^{2}$

so

$x*y=64$ --------> equation 1

let's assume different values of x to get the different values of y

<u>case 1)</u> For x=64 units

substitute in the equation 1

$x*y=64$

$y=64/x$

$y=64/64$

$y=1\ units$

the dimensions of the rectangle are 64 units x 1 unit

see the draw in the attached figure N 1

<u>case 2)</u> For x=32 units

substitute in the equation 1

$x*y=64$

$y=64/x$

$y=64/32$

$y=2\ units$

the dimensions of the rectangle are 32 units x 2 units

see the draw in the attached figure N 2

<u>case 3)</u> For x=16 units

substitute in the equation 1

$x*y=64$

$y=64/x$

$y=64/16$

$y=4\ units$

the dimensions of the rectangle are 16 units x 4 units

see the draw in the attached figure N 3

<u>case 4)</u> For x=30 units

substitute in the equation 1

$x*y=64$

$y=64/x$

$y=64/30$

$y=\frac{32}{15} =2\frac{2}{15} \ units$

the dimensions of the rectangle are 30 units x 2 (2/15) units

see the draw in the attached figure N 4

<u>case 5)</u> For x=40 units

substitute in the equation 1

$x*y=64$

$y=64/x$

$y=64/40$

$y=1.60\ units$

the dimensions of the rectangle are 40 units x 1.60 units

see the draw in the attached figure N 5

<u>case 6)</u> For x=60 units

substitute in the equation 1

$x*y=64$

$y=64/x$

$y=64/60$

$y=\frac{16}{15} =1\frac{1}{15} \ units$

the dimensions of the rectangle are 60 units x 1 (1/15) units

see the draw in the attached figure N 6

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2 years ago

Based on the model N(11541154,8686) describing steer weights, what are the cutoff values for a) the highest 10% of the we

yaroslaw [1]

Answer:

a) x = 1225.68

b) x = 1081.76

c) 1109.28 < x < 1198.72

Step-by-step explanation:

Given:

- Th random variable X for steer weight follows a normal distribution:

X~ N( 1154 , 86 )

Find:

a) the highest 10% of the weights?

b) the lowest 20% of the weights?

c) the middle 40% of the weights?

Solution:

a)

We will compute the corresponding Z-value for highest cut off 10%:

Z @ 0.10 = 1.28

Z = (x-u) / sd

Where,

u: Mean of the distribution.

s.d: Standard deviation of the distribution.

1.28 = (x - 1154) / 86

x = 1.28*86 + 1154

x = 1225.68

b)

We will compute the corresponding Z-value for lowest cut off 20%:

-Z @ 0.20 = -0.84

Z = (x-u) / sd

-0.84 = (x - 1154) / 86

x = -0.84*86 + 1154

x = 1081.76

c)

We will compute the corresponding Z-value for middle cut off 40%:

Z @ 0.3 = -0.52

Z @ 0.7 = 0.52

[email protected] < x < [email protected]

-.52*86 + 1154 < x < 0.52*86 + 1154

1109.28 < x < 1198.72

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alisha [4.7K]

Answer:

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b. $3y^{3} -6$

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Step-by-step explanation:

When a number has the same variable as another, you can add or subtract them

So for the first one, you can do

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(But don't forget the $3y^{3}$ !)

So it is:

$x^{2} + 3y^{3}$

Continue this process for the rest of them

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Katena32 [7]

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koban [17]

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Step-by-step explanation:

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3 years ago

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