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2 years ago

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An architect designs a rectangular flower garden such that the width is exactly two thirds of the length of 270 feet of an antiq

ue picket fencing are to be used

1 answer:

bezimeni [28]2 years ago

8 0

Width=180
Area=48600
Perimeter=900

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Point F is on circle C.

Hoochie [10]

CF is a radius = 7.5 units

To find GC we will use the Pythagorean theorem.GC² = 10² + 7.5²

GC² = 100 + 56.25GC² = 156.25GC = √ 156.25GC = 12.5

GF = 12.5 + 7.5 = 20

Answer: 20 units

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2 years ago

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Given: BC bisects DBE. Prove: ABD is congruent to ABE

Arada [10]

Answer:

See below

Step-by-step explanation:

BC bisects <DBE and if AC is a straight line then you have that:

<ABD + <DBC = 180 (straight angle because of line AC)

<ABE + <CBE = 180 ( straight angle because of line AC)

Because BC bisects <DBE => < DBC = <CBE

So <ABD and <ABE must be the same to both sum 180 when added < DBC

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2 years ago

Louis started a table showing a multiplication patterns complete the table describe a pattern you see in the products

kvasek [131]

One pattern that you can see in a multiplication table is the perfect square numbers. It runs from the top left hand corner directly through the middle to the bottom right hand corner. A perfect square is a number that is multiplied by itself. The perfect square numbers are 1, 4, 9, 16, 25, 36, 49, 64, 81, 100, 121, 144. They keep going forever on but those are the main ones from 1x1 to 12x12.

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2 years ago

Molly has cups of sugar. She used cup of sugar. She wants to model a subtraction problem on a number line to find how much sugar

vovangra [49]

I am going off the assumption that by "She used a cup of sugar" you mean that she used 1 cup of sugar. Since the model shows that her first step starts with 1.5, that means that she loses 1 cup, and moves 1 unit to the left. She is left with 0.5 cups of sugar.
B. She only moves 1 unit to the left.

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2 years ago

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Mario has a business selling muffins. Let x be the price of a muffin. Then, the profit P for Mario’s business is given by p(x)=-

Rufina [12.5K]

To make a positive profit p(x)>0 we need to make:
$-100 x^{2} +350x-150 \ \textgreater \ 0$

Now we solve this for x:
$-2 x^{2} +7x-3 \ \textgreater \ 0$

We have:
a = -2
b = 7
c = -3

We will use formula for quadratic equation:
$x_{1} = \frac{-b+ \sqrt{ b^{2}-4ac } }{2a} \\ \\ x_{2} = \frac{-b- \sqrt{ b^{2}-4ac } }{2a} \\ \\ x_{1} = \frac{-7+ \sqrt{ 49-24 } }{-4} = \frac{-7+5 }{-4} = \frac{-2 }{-4} = \frac{1}{2} \\ \\ x_{2} = \frac{-7- \sqrt{ 49-24 } }{-4} = \frac{-7-5 }{-4} = \frac{-12 }{-4} = 3$

We got two solutions. One is fraction other is whole number. We will not consider fraction because the amount of muffins sold must be whole number. So our solution is:
x>3

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2 years ago

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