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Dominik [7]
3 years ago
11

A contractor is building the base of a circular fountain. On the blueprint, the base of the fountain has a diameter of 18 centim

eters. The blueprint has a scale of three centimeters to four feet. What will be the actual area of the base of the fountain, in square feet, after it is built? Round your answer to the nearest tenth of a square foot.
Mathematics
1 answer:
Daniel [21]3 years ago
3 0
The answer is 1808.64 ft²

To calculate area of square we need to find radius r. Radius is a half of a diameter:
r = d/2

The blueprint:
d = 18 cm
r = 18/2 = 9 cm

<span>The blueprint has a scale of three centimeters to four feet. Actual radius r1 is:
</span>3 cm : 4 ft = 18 cm : r1
After crossing the products:
r1 = 4 ft * 18 cm : 3 cm
r1 = 24 ft

The area of the circular base of the fountain is:
A = r1² * π
π = 3.14
r1 = 24 ft

A = 24² * 3.14
A = 1808.64 ft²
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Complete the table of values
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Both problems give you a function in the second column and the x-values. To find out the values of a through f, you need to plug in those x-values into the function and simplify! 

You need to know three exponent rules to simplify these expressions:
1) The negative exponent rule says that when a base has a negative exponent, flip the base onto the other side of the fraction to make it into a positive exponent. For example, 3^{-2} =&#10;\frac{1}{3^{2} }.
2) Raising a fraction to a power is the same as separately raising the numerator and denominator to that power. For example, (\frac{3}{4}) ^{3}  =  \frac{ 3^{3} }{4^{3} }.
3) The zero exponent rule<span> says that any number raised to zero is 1. For example, 3^{0} = 1.
</span>

Back to the Problem:
Problem 1 
The x-values are in the left column. The title of the right column tells you that the function is y =  4^{-x}. The x-values are:
<span>1) x = 0
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<span>
2) x = 2
</span>Plug this into y = 4^{-x} to find letter b:
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<span>
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Problem 2
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<span>1) x = 0
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<span>
-------

Answers: 
a = 1
b = </span>\frac{1}{16}<span>
c = </span>\frac{1}{256}
d = 1
e = \frac{4}{9}
f = \frac{16}{81}
5 0
3 years ago
I GIVE ANOTHER BRAINLIEST
dlinn [17]

Answer:

Answer Below

Step-by-step explanation:

Triangle #1

To solve this answer we need to multiply then <em>divide by 2</em>

3 x 8=24

24 ÷ 2=12

12

Triangle #2

Now we do the same thing!

3 x 8=24

24 ÷ 2=12

12

Rectangle #1

<em>Now we solve for the rectangle!</em>

6 x 8 = 48

48

Now we add all these together!

12 + 12 + 48 = 72

<em>The answer is D. 72 Square Units</em>

8 0
2 years ago
Read 2 more answers
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