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sukhopar [10]
2 years ago
13

An architecture firm creates blueprints for office buildings. Last week, they produced four rectangular blueprints for four diff

erent projects. Project A: A 20-inch by 15-inch blueprint with a scale of 1 inch to 4 feet and a projected cost of $22,000. Project B: A 10-inch by 8-inch blueprint with a scale of 1 inch to 8 feet and a projected cost of $25,000. Project C: A 15-inch by 12-inch blueprint with a scale of 1 inch to 6 feet and a projected cost of $27,000. Project D: An 8-inch by 6-inch blueprint with a scale of 1 inch to 12 feet and a projected cost of $30,000. Order the projects from greatest to least projected cost per square foot of the actual offices. Project A Project C Project B
Mathematics
1 answer:
Readme [11.4K]2 years ago
4 0

Answer:

The order from greatest to least :

Project B > Project  A > Project  D > Project  C

Step-by-step explanation:

Project A : A 20-inch by 15-inch blueprint with a scale of 1 inch to 4 feet and a projected cost of $22,000.

Scale factor = \frac{1 inch}{4 feet}

Length of the office building on blueprint = l =20 inch

Width of the office building on blueprint = b =15 inch

Real length of the office building on blueprint = L

=\frac{1 inch}{4feet}=\frac{20 inch}{L}

L = 80 feet

Real width of the office building on blueprint = B

\frac{1 inch}{4feet}=\frac{15 inch}{B}

B = 60 feet

Area of the building = L\times B=80 ft\times 60=4800 ft^2

Cost of project = $22,000

Cost of project per square foot =\frac{\$22,000}{4800 ft^2}=4.58 \$/ft^2

Project B : A 10-inch by 8-inch blueprint with a scale of 1 inch to 8 feet and a projected cost of $25,000.

Scale factor = \frac{1 inch}{8 feet}

Length of the office building on blueprint = l =10 inch

Width of the office building on blueprint = b =8 inch

Real length of the office building on blueprint = L

=\frac{1 inch}{8feet}=\frac{10 inch}{L}

L = 80 feet

Real width of the office building on blueprint = B

\frac{1 inch}{8feet}=\frac{8 inch}{B}

B = 64 feet

Area of the building = L\times B=80 ft\times 64=5120 ft^2

Cost of project = $25,000

Cost of project per square foot =\frac{\$25,000}{5120 ft^2}=4.88 \$/ft^2

Project C : A 15-inch by 12-inch blueprint with a scale of 1 inch to 6 feet and a projected cost of $27,000.

Scale factor = \frac{1 inch}{6 feet}

Length of the office building on blueprint = l =15 inch

Width of the office building on blueprint = b =12 inch

Real length of the office building on blueprint = L

=\frac{1 inch}{6 feet}=\frac{15 inch}{L}

L = 90 feet

Real width of the office building on blueprint = B

\frac{1 inch}{6feet}=\frac{12 inch}{B}

B = 72 feet

Area of the building = L\times B=90 ft\times 72ft=6480 ft^2

Cost of project = $27,000

Cost of project per square foot =\frac{\$27,000}{6480ft^2}=4.17\$/ft^2

Project D :An 8-inch by 6-inch blueprint with a scale of 1 inch to 12 feet and a projected cost of $30,000

Scale factor = \frac{1 inch}{12 feet}

Length of the office building on blueprint = l = 8 inch

Width of the office building on blueprint = b =6 inch

Real length of the office building on blueprint = L

=\frac{1 inch}{12 feet}=\frac{8 inch}{L}

L = 96 feet

Real width of the office building on blueprint = B

\frac{1 inch}{12feet}=\frac{6 inch}{B}

B = 72 feet

Area of the building = L\times B=96 ft\times 72ft=6912 ft^2

Cost of project = $27,000

Cost of project per square foot =\frac{\$30,000}{6912ft^2}=4.34\$/ft^2

Project B > Project  A > Project  D > Project  C

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IRINA_888 [86]

Answer:

\boxed{ \text{10.9 ft}}

Step-by-step explanation:

The formula for the volume of a cylinder is

V = πr²h

Data:

V = 20 000 gal

h = 34.5 ft

Calculations:

I assume the gasoline tank is lying on its side, so we are asked to find the diameter of the tank.

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V = πr²h

r² = V/(πh) = 2674/(π × 34.5) = 24.67 ft²

r = √24.67 = 4.967 ft

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3 years ago
A suit is on sale for 33% off the sale price is 536 what is the regular price
nataly862011 [7]

Answer: sale: 536

discount: 33%

33/100*536=

Step-by-step explanation:

1- I assume the cost of the suit is $536, not 536%.

So the % of the part times $536= Original price

Remember, $536 is 77% of the original price.

536x0.77=$696.10

Since the suit was 33% off, and since the sale price of the suit was $536

Then the suit was sold for 67% of its original price

Therefore, 67% of its original price (p) equals $536, or .67(p) = 536

.67p = 536

p = 536 � .67 = $800

Original price of suit was $800

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Answer:439

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Show work and find the value of the area of the circle with a 10 cm diameter.
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Answer:

A = 78.54cm²

Step-by-step explanation:

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I hope this helps.  :   )

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3 years ago
A sample of students that had stuffy or runny noses were blindly given a single Skittles candy to put in their mouth. They were
Korvikt [17]

Answer:

The confidence interval is  0.2857<  p <  0.4601

Step-by-step explanation:

From the question we are told that

  The sample size is  n  =  118  

   The  number that gave the correct answer is  k =  44

Generally the sample proportion is mathematically represented as

      \^ p = \frac{44}{118}

=>     \^ p =0.3729

Generally given that the confidence level is  95% the level of significance is mathematically represented as

       \alpha  =  (100 -95) \%

=>     \alpha = 0.05

Generally from the normal distribution table the critical value  of  \frac{\alpha }{2} is  

   Z_{\frac{\alpha }{2} } =  1.96

Generally the margin of error is mathematically represented as  

     E =  Z_{\frac{\alpha }{2} } * \sqrt{\frac{p(1 - p)}{n} }

=>   E =  1.96 * \sqrt{\frac{0.3729(1 - 0.3729)}{118} }

=>    E = 0.0872

Generally 95% confidence interval is mathematically represented as  

             \r p -E <  p <  \r p +E

=>    0.3729 -0.0872<  p <  0.3729 +0.0872

=>  0.2857<  p <  0.4601

5 0
3 years ago
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