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liq [111]
3 years ago
6

The Empire State Building is just over 1,450 feet tall. In anticipation of visiting this landmark on your vacation, you create a

model of it using blocks.
a. Suppose you are making a model where one block represents 2 feet. About how many blocks tall is your model of the Empire State Building? What is the scale factor?
Mathematics
2 answers:
saul85 [17]3 years ago
8 0

Answer:

725, 1 per every 2 ft.

Step-by-step explanation:

It gives the actual height for the building, 1,450, and it says one block is two feet. Divide 1,450 by 2 and you'd get 725. And we already know dat one block is two feet so it's 1:2

(why did I start singing ``You Reposted in the Wrong Hero Academia?`` UwUz)

oee [108]3 years ago
3 0
You have two given data available here: the actual height of the Empire State Building measuring 1,450 feet, and the height of the block measuring 2 feet. To find how many blocks stacked together would make up 1,450 feet, just divide 1,450 by 2.

Number of blocks=1,450 feet * (1 block/2 feet)
Number of blocks = 725 blocks

Therefore, you would use a model  requiring 725 blocks. The scale factor for the model is 1 block per two feet. 
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astraxan [27]

Answer:

2

Step-by-step explanation:

3 0
3 years ago
The International Coffee Association has reported the mean daily coffee consumption for U.S. residents as 1.65 cups. Assume that
Harman [31]

Answer:

The calculated value  t = 1.3788 < 2.0262 at 0.05 level of significance

the null hypothesis is accepted

There  is no significant difference between  their counterparts across the nation

Step-by-step explanation:

<u><em>Step(i):-</em></u>

Given that the mean of the U.S residents  = 1.65

Given that the size of the sample 'n' = 38

Mean of the sample = 1.84

Given that the standard deviation of the sample (S) = 0.85

<u><em>Step(ii):-</em></u>

<u><em>Null hypothesis:</em></u>H₀:

There  is no significant difference between  their counterparts across the nation

<u><em>Alternative Hypothesis:-</em></u>H₁:

There  is  a significant difference between  their counterparts across the nation

Test statistic

                t = \frac{x^{-} -mean}{\frac{S}{\sqrt{n} } }

               t = \frac{1.84-1.65}{\frac{0.85}{\sqrt{38} } }

              t =  1.3788

Degrees of freedom

                ν = n-1  = 38-1 = 37

t₀.₀₅ ,₃₇ =    2.0262

The calculated value  t = 1.3788 < 2.0262 at 0.05 level of significance

Null hypothesis is accepted

<u><em>Final answer:-</em></u>

There  is no significant difference between  their counterparts across the nation.

5 0
3 years ago
What is the height of the ramp shown? (Measurements are in feet)
SOVA2 [1]

Answer:

8.9 ft. (Option C)

Step-by-step explanation:

Here, we are given a right angled triangle. We are asked to find the value of perpendicular (y).

We'll be using pythagoras property.

According to the pythagoras property, sum of the squares of base and perpendicular is equivalent to the square of hypotenuse.

Here,

  • Hypotenuse = 12 ft
  • Base = 8 ft
  • Perpendicular (y) = ?

→ H² = B² + P²

→ H² - B² = P²

→ (12 ft)² - (8 ft)² = y²

→ 144 ft² - 64 ft² = y²

→ 80 ft² = y²

→ √(80 ft²) = y

→ 8.94427191 ft = y

→ <u>8.9</u><u> </u><u>ft</u><u> = y</u>

\therefore <u>Value</u><u> </u><u>of</u><u> </u><u>y</u><u> </u><u>is</u><u> </u><u>8</u><u>.</u><u>9</u><u>.</u><u> </u><u>(</u><u>Option </u><u>c</u><u>)</u>

7 0
2 years ago
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Ymorist [56]
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5
27.5
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atroni [7]

Answer:

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Step-by-step explanation:

5 0
4 years ago
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