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3 years ago

Identify the number of solutions. Y< -1/3x+5, y> -1/3x-1.

Mathematics

1 answer:

Elenna [48]3 years ago

8 0

Answer: C. No solution. ( top shaded. Middle not. Bottom shaded.

Step-by-step explanation:

Given inequalities

y< -1/3x+5 and

y> -1/3x-1.

If we draw graph for y< -1/3x+5 equation, it would be a dotted line and we would shade down the dotted line because we have less than < symbol there.

Now, if we draw graph for second inequality y> -1/3x-1, it would also be a dotted line and we would shade up of dotted line because we have greater than > symbol there.

Now, we can see that slopes of both dotted lines are same that is -1/3.

So, there would not be any common shaded region.

Therefore, there would not by any solution of the system of inequalities.

And correct option is C option.

C. No solution. ( top shaded. Middle not. Bottom shaded.

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inessss [21]

Answer:

The answer rounded to the nearest whole number is 1729

Step-by-step explanation:

Set it up like this: Percent in fraction form = x over total

So: 34/100 = x/5086

You then multiply: 34 x 5086 = 172924

Then divided that number by 100: 172924 divided by 100 = 1729.24

Then round the number to the nearest whole number: 1729

Hope this helps good luck!

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2 years ago

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Irina18 [472]

Answer:

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Step-by-step explanation:

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3 years ago

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Verizon [17]

Answer:

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3 years ago

Find the area of the shaded region. round answers to the nearest tenth. assume all inscribed polygons are regular. 29.3 units2

FromTheMoon [43]

The picture in the attached figure

we know that
the area of the shaded region is equal to
(2/3)*[area of the circle - the area of the triangle]

step 1
Find the area of a circle Ac
Ac = π r²
Ac = π (6)²
Ac = 113.10 units²

step 2
find the area of the triangle At
The triangle is an equilateral triangle with angles on each corner equal to 60 degrees. Meanwhile,
the 3 angles at the center is 120 degrees each since a circle is 360 degree.
We know that the radius (line from centerpoint to corner) is equivalent to 6.
Using the cosine law,
we can calculate for the length of one side.
s² = 6^ + 6² – 2 (6) (6) cos 120
s² = 108
s = 10.4 units
Since this is an equilateral triangle, therefore, all sides are equal.
The area for this is:
At = (sqrt3 / 4) * s²
At = 46.77 units²

step 3
the area of the shaded region=(2/3)*[area of the circle - the area of the triangle]
the area of the shaded region=(2/3)*[113.10-46.77]------> 44.22 units²

therefore

the answer is
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Orlov [11]

Answer:

Step-by-step explanation:

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