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3 years ago

A pond is being dug according to plans that have a scale of 3 inches = 9 feet. What is the scale factor of the Plans?

Mathematics

2 answers:

liq [111]3 years ago

8 0

Answer:

1/36 scale factor

Step-by-step explanation:

3 inches/108 in

=1/36 scle factor

FinnZ [79.3K]3 years ago

7 0

Answer:

the scale is 1 in. for every 3 ft. hope this helps

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3 years ago

The landing for the steps leading up to a county courthouse is shaped like a trapezoid. The area of the landing is 1500 square f

77julia77 [94]

Answer:

The length of the longer base is 80 feet.

Step-by-step explanation:

We are given that county courthouse is shaped like a trapezoid.

Let the height of the court house be h

Since we are given that The shorter base of the trapezoid is 15 feet longer than the height.

So, the shorter base = h+15

We are also given that The longer base is 5 feet longer than 3 times the height

So, longer Base = 3h+5

Now we are also given that the area of the landing is 1500 square feet.

Formula of area of trapezium :

= $\frac{1}{2} *(\text{Length of longer base}+\text{Length of shorter base})*height$

Substituting the values .

$1500=\frac{1}{2} *(h+15+3h+5)*h$

$1500=\frac{1}{2} *(4h+20)*h$

$1500*2=(4h+20)*h$

$3000=4h^2+20h$

Taking 4 common from the equation.

$750=h^2+5h$

$h^2+5h-750=0$

$h^2-25h+30h-750=0$

$h(h-25)+30(h-25)=0$

$(h-25)(h+30)=0$

⇒ h = 25, -30

Neglect the negative value .

So, height = 25 feet.

Length of Longer base = 3h+5 =3*25+5=80 feet

Hence , the length of the longer base is 80 feet.

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3 years ago