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Arte-miy333 [17]
4 years ago
9

Which geometric shape can be described as a fixed distance along a line?

Mathematics
1 answer:
saul85 [17]4 years ago
3 0
Hey there!

A fixed distance along a line without any 2nd dimension is a line segment. The reason why it's a line <em>segment</em> instead of a line is that lines go on forever in both directions while a line segment stops at some point on both ends. This is what the problems means when it says "fixed distance". 

Hope this helped you out! :-)
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A town is planning a playground. It wants to fence in a rectangular space using an existing wall. What is the greatest area it c
777dan777 [17]

Answer:

1250 ft^{2}

Step-by-step explanation:

We are given that the playground is fenced on three sides of the playground and the four side has an existing wall.

Let the length of the rectangle be 'X' feet and width be 'Y' feet.

As the fencing is done using 100 feet of fence. We get the relation between the sides and the fence as, X + 2Y = 100.

As, X + 2Y = 100 → X = 100 - 2Y

Now, the area of the rectangle = XY = X × ( 100 - 2Y ).

i.e Area of the rectangle = -2Y^{2} +100Y.

The general form of a quadratic equation is y=ax^{2}+bx+c.

The maximum value of a quadratic equation is given by x=\frac{-b}{2a}.

Therefore, the greatest value of -2Y^{2} +100Y is at Y = \frac{-100}{2 \times -2} = \frac{-100}{-4} = 25.

Thus, Y = 25 and X = 100 - 2Y → X = 100 - 2 × 25 → X = 50.

Hence, the area of the rectangle is XY = 50 × 25 = 1250 ft^{2}.

3 0
3 years ago
Anyone know this answer for this question
svlad2 [7]

Answer:

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Step-by-step explanation:

3 0
3 years ago
What is the number of subsets of S= {1, 2, 3…10} that contain five element include 3 or 4 but not both?
Ivenika [448]

Answer:

140

Step-by-step explanation:

To construct a subset of S with said property, we have two choices, include 3 in the subset or include four in the subset. These events are mutually exclusive because 3 and 4 can not both be elements of the subset.

First, let's count the number of subsets that contain the element 3.

Any of such subsets has five elements, but since 3 is already an element, we only have to select four elements to complete it. The four elements must be different from 3 and 4 (3 cannot be selected twice and the condition does not allow to select 4), so there are eight elements to select from. The number of ways of doing this is {}_8C_4=70.

Now, let's count the number of subsets that contain the element 4.

4 is already an element thus we have to select other four elements . The four elements must be different from 3 and 4 (4 cannot be selected twice and the condition does not allow to select 3), so there are eight elements to select from, so this can be done in {}_8C_4=70 ways.

We conclude that there are 70+70=140 required subsets of S.

7 0
3 years ago
Which word describes a triangle with three angles, if each angle measures less than 90°?
NemiM [27]

Answer:

acute triangle

Step-by-step explanation:

A triangle with all angles less than 90 degrees has all angles that are acute.

Acute angles are less than 90 degrees

6 0
3 years ago
Which situation can be modeled by an exponential growth function?
Whitepunk [10]

Answer:

I think the answer would be B) a concert allows 100 people to enter every 20 minutes

8 0
3 years ago
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