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andrey2020 [161]
3 years ago
5

Express x cm in metres​

Mathematics
1 answer:
Viktor [21]3 years ago
4 0

Answer:

0.0X m

Step-by-step explanation:

100 cm = 1 m

According to the question, we have

\frac{x}{100} = 1 m

0.0X = 1 m

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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
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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
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PilotLPTM [1.2K]

Answer:

4

Step-by-step explanation:

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5 0
2 years ago
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Answer:

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2 years ago
The measure of an angle is 63.6°. what is the measure of a complementary angle?
Tanzania [10]
Complementary angles add up to 90°.

You are given one angle that is 63.6°.

Let's make the other angle "x".

63.6 + x = 90

To find x, all you have to do is subtract the other angle (63.6) from 90.
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The measure of the complementary angle is 26.4°.
6 0
3 years ago
Suppose a Hispanic Heritage festival is held in an area measuring 2,494 square yards. If the length of the festival is 58 yards,
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Answer: 43 yards.

Step-by-step explanation:

Let the shape of the area occupied for festival be rectangle.

and area of rectangle = length x width

Given: Area of the festival= 2,494 square yards.

Length of the festival=  58 yards

Then width = (Area )÷ (length)

=  (2494)÷58  yards

= 43 yards

hence, the  width of the festival = 43 yards.

4 0
3 years ago
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