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tino4ka555 [31]
3 years ago
6

A driveway is 25 meters long how long the driveway in centimeters

Mathematics
2 answers:
Mekhanik [1.2K]3 years ago
8 0

Answer: 2,500 centimeters

Step-by-step-Explanation: To convert 25 meters into centimeters, we use the conversion factor for meters and centimeters

which is 100 centimeters = 1 meter.

Next, notice that we're converting from a larger unit, meters, to a smaller unit, centimeters and when we go from a larger unit to a smaller unit, we multiply by the conversion factor.

So we multiply 25 by the conversion factor, 100 which gives us 2,500.

So 25 meters = 2,500 centimeters.

MakcuM [25]3 years ago
4 0

Answer:

2500

Explanation : a meter is 100 centimeters long so you would multiply 25 by 100 to get 2500

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For two functions, f(x) and g(x), a statement is made that f(x) = g(x) at x = 5. What is definitely true about x = 5? Both f(x)
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Here, f(x) and g(x) are two functions,

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Note : For other options, the adequate information is not given.

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4 years ago
Find radiuses of circles, if OO1=20cm and 3AK=2BK
Serggg [28]

Answer:

  • radius of smaller circle on the left =  8 centimeters
  • radius of larger circle on the right =  12 centimeters

=============================================================

Explanation:

The letter O looks very similar to the number zero, so I'm going to use other letters to avoid confusion. For the smaller circle on the left, it'll have center P. The circle on the right will have center Q. See the diagram below.

Based on that, we can say that PQ = 20 cm.

Let x = length of PK

PK + KQ = PQ

KQ = PQ - PK

KQ = 20 - x

We'll keep this in mind for later. I'll refer to this as "Fact 1" when it does come up later.

------------------------

We're given this equation

3AK=2BK

Let's get the numbers to one side and the letters to the other side like so:

3AK=2BK

3AK/BK = 2

AK/BK = 2/3

We'll use this later as well.  I'll refer to this as "Fact 2" when it does come up later.

------------------------

Next, draw a segment from P to A to form triangle PAK (also shown in the diagram below). Do the same for points Q and B to form triangle QBK.

The segments PA and PK are radii of the smaller circle, so PA = PK which leads to triangle PAK being isosceles. Triangle QBK is also isosceles for similar reasoning.

The angles AKP and QKB are vertical angles, so they are congruent.

The facts mentioned so far boil down to the two triangles being similar triangles (use the angle angle method to prove).

------------------------

Now that we know the triangles are similar, we can use a proportion to solve for x.

PK/KQ = AK/KB

PK/KQ = 2/3  .... use fact 2

x/(20-x) = 2/3 .... use fact 1

3x = 2(20-x) .... cross multiply

3x = 40 - 2x

3x+2x = 40

5x = 40

x = 40/5

x = 8

So,

  • PK = x = 8
  • KQ = 20-x = 20-8 = 12

The radius of the smaller circle on the left is <u>8 cm</u>.

The radius of the larger circle on the right is <u>12 cm</u>.

4 0
2 years ago
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