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aleksklad [387]
3 years ago
11

On the set of axes below, Geoff drew rectangle ABCD. He will transform the rectangle by

Mathematics
1 answer:
Georgia [21]3 years ago
3 0

Answer:

C, exactly 28 square units

Step-by-step explanation:

This is because it's a translation, not a transformation. The size won't change, and therefore the area won't change. Just the position.

Since the area is 28 and it doesn't change, the answer is C.

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A rectangular parking lot must have a perimeter of 440 feet and an area of at least 8000 square feet. Describe the possible leng
tangare [24]

Answer:

The possible parking lengths are 45.96 feet and 174.031 feet

Step-by-step explanation:

Let x be the length of rectangular plot and y be the breadth of rectangular plot

A rectangular parking lot must have a perimeter of 440 feet

Perimeter of rectangular plot =2(l+b)=2(x+y)=440

2(x+y)=440

x+y=220

y=220-x

We are also given that an area of at least 8000 square feet.

So, xy \leq 8000

So,x(220-x) \leq 8000

220x-x^2 \leq 8000

So,220x-x^2 = 8000\\-x^2+220x-8000=0

General quadratic equation : ax^2+bx+c=0

Formula : x=\frac{-b \pm \sqrt{b^2-4ac}}{2a}

x=\frac{-220 \pm \sqrt{220^2-4(-1)(-8000)}}{2(-1)}\\x=\frac{-220 + \sqrt{220^2-4(-1)(-8000)}}{2(-1)} , \frac{-220 - \sqrt{220^2-4(-1)(-8000)}}{2(-1)}\\x=45.96,174.031

So, The possible parking lengths are 45.96 feet and 174.031 feet

3 0
3 years ago
A park is shaped like a trapezoid. It has an area of 7.2 square miles. One base is 1.2 miles, and the other base is 2.4 miles lo
WINSTONCH [101]
7.2÷(1.2+2.4)=2
2÷.5=4
So the height equals 4
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3 years ago
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