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4 years ago

The scale of a map is 1cm:12 km. find the actual distance for 12cm

1 answer:

6 0

This is simply a question about ratios. This ratio means that for every 1 cm on the map, there are 12 km in actuality. You can set this problem up in fractions:

1 cm 12 cm
-------- = ----------
12 km x

To solve for x, we cross-multiply, for the moment ignoring units. Remember, your answer will be in km.

1*x=12*12

x=144

If x=144, then for 12 cm, there are 144 km.

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Which is greater 60% or ⅝

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60%

Step-by-step explanation:

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3 years ago

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Three pounds of oranges cost $4.50 complete the table

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3 years ago

Johnny heads to the store with $20. He spends $7 on a t-shirt, then buys some candy bars for $1.50 each. How many candy bars cou

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Step-by-step explanation:

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3 years ago

An object oscillates 4 feet from its minimum height to its maximum height. The object is back at the maximum height every 3 seco

bulgar [2K]

Answer:

$y=2\text{cos}((\frac{2\pi}{3})t)$

Step-by-step explanation:

We have been given that an object oscillates 4 feet from its minimum height to its maximum height. The object is back at the maximum height every 3 seconds. We are asked to find the cosine function that can be used to model the height of the object.

We know that standard form of cosine function is $y = A\cdot \text{cos}(Bt-C)+D$ , where,

|A| = Amplitude,

Period = $\frac{2\pi}{|B|}$ ,

C = Phase shift,

D = Vertical shift.

Since distance between maximum and minimum is 4, therefore, amplitude will be half of it, that is, $A = 2$ .

Since objects gets back to its maximum value in every 3 seconds, therefore, period of the function is 3 seconds. We know that period is given by $\frac{2\pi}{|B|}$ , therefore, we can write $\frac{2\pi}{|B|}=3$ , therefore, $B = \frac{2\pi}{3}$ .

We haven't been given any information about phase and mid-line, we can assume the values of C and D to be zero .

Therefore, our function required function would be $y=2\text{cos}((\frac{2\pi}{3})t)$ .

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4 years ago

Which set is closed under multiplication?

julia-pushkina [17]

Step-by-step explanation:

Because the multiplication of two integers still results in an integer.

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2 years ago