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Yuliya22 [10]
3 years ago
6

Mr. D'Agostino decided he wanted to build a pool in his backyard this summer. He sketched a drawing that had a scale of 1 in. =

4 feet. If the drawing had a length of 4 feet and a width of 5 feet, what is the actual area of the pool?
Mathematics
1 answer:
Travka [436]3 years ago
5 0

Answer:

46080 ft²

Step-by-step explanation:

Given :

Scale :

1 in = 4 feets

Recall :

I foot =. 12 inches

Length of drawing = 4 feets

Length of drawing in inches = 4 * 12 = 48 inches

Width of drawing = 5 feets

Width of drawing in inches = 5 * 12 = 60 inches

Actual length of pool = 48 * 4 = 192 feets

Actual width of pool = 60 * 4 = 240 feets

The actual area of the pool :

Length * width

192 feets * 240 feets = 46080 ft²

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mamaluj [8]

Hello from MrBillDoesMath!

Answer:  6 * 10^(-6)

Discussion:

0.000006 =   6 * ( .000001) = 6 * 10^(-6)


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MrB

3 0
4 years ago
The sum of three consecutive terms in an arithmetic sequence is 27, and their product is 585. find the three terms.
sammy [17]
\text{the three consecutive terms in an arithmetic sequence}\\a;\ a+d;\ a+2d\\\\\text{system of equals}\\\\ \left\{\begin{array}{ccc}a+a+d+a+2d=27\\a(a+d)(a+2d)=585\end{array}\right\\ \left\{\begin{array}{ccc}3a+3d=27&|:3\\a(a+d)(a+2d)=585\end{array}\right\\ \left\{\begin{array}{ccc}a+d=9&\to d=9-a\\a(a+d)(a+2d)=585\end{array}\right\\
\text{substitute to the second equation}\\\\a(a+9-a)(a+2(9-a))=585\\\\a(9)(a+18-2a)=585\\9a(18-a)=585\ \ \ |:9\\a(18-a)=65\\18a-a^2=65\ \ \ |\text{change the signs}\\a^2-18a=-65\\a^2-2a\cdot9=-65\ \ \ |+9^2\\\underbrace{a^2-2a\cdot9+9^2}_{(a-b)^2=a^2-2ab+b^2}=-65+9^2\\(a-9)^2=16\to a-9\pm\sqrt{16}\\a-9=-4\ \vee\ a-9=4\ \ \ |+9\\a=5\ \vee\ a=13\\\\d=9-5=4\ \vee\ d=9-13=-4
Answer:\ a=5;\ a+d=9; a+2d=13\ vee\ a=13;\ a+d=9;\ a+2d=5

5 0
3 years ago
which number has one digit that represents 10 times the value of the digit to it's right? 375,595, 545,150 and 378,658
Artyom0805 [142]

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3 0
4 years ago
Read 2 more answers
Consider a particle moving around a circle with a radius of 38cm. It rotates from 10 degrees to 100 degrees in 11 seconds. Calcu
kifflom [539]

Step-by-step explanation:

Given that,

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6 0
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