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charle [14.2K]
3 years ago
5

To win a prize at a fair you must throw a coin into a space that is 7.0 cm long and 4.0 cm wide. what is the area of the space y

ou are aiming for? express your answer to the correct number of significant figures.
Mathematics
1 answer:
dlinn [17]3 years ago
3 0

Alright, lets get started.

space that is 7.0 cm long and 4.0 cm wide it means space is in rectangular shape.

The lenght of the space = 7 cm

The width of the shape = 4 cm

The formula of area of rectange = length * width

The area of rectange = 7*4

The area of rectange = 28 square cm  

So, the area of the space you are aiming for 28 square cm.    :   Answer

Hope it will help :)



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SOLUTION

From the question, we are told that y varies inversely as x

This is mathematically written as

\begin{gathered} y\propto\frac{1}{x} \\ \propto\text{ is a sign of proportionality } \end{gathered}

Now, we will remove the proportionality sign and replace it with equal to sign =

If we do this, we will intoduce a constant k

\begin{gathered} y\propto\frac{1}{x} \\ y=k\times\frac{1}{x} \\ y=\frac{k}{x} \end{gathered}

So we have the formula

y=\frac{k}{x}

We will substitute the values of x for 10 and y for 8 into the formula to get k, we have

\begin{gathered} y=\frac{k}{x} \\ 8=\frac{k}{10} \\ k=8\times10 \\ k=80 \end{gathered}

Now, we will substitute k for 80 back into the formula to get the inverse function, we have

\begin{gathered} y=\frac{k}{x} \\ y=\frac{80}{x} \end{gathered}

Hence the answer is option C

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the temperature ,t, in Burrtown starts at 21 degrees F at midnight, when h=0. For the next few hours, the temperature drops 4 de
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3 years ago
? Question
dezoksy [38]

Answer:

4 ft

7.2 ft

20 ft

Step-by-step explanation:

When the balloon is shot, x = 0.

y = -0.05(0)² + 0.8(0) + 4

y = 4

The balloon reaches the highest point at the vertex of the parabola.

x = -b / 2a

x = -0.8 / (2 × -0.05)

x = 8

y = -0.05(8)² + 0.8(8) + 4

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0 = (x + 4) (x − 20)

x = -4 or 20

Since x > 0, x = 20.

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