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andreyandreev [35.5K]
3 years ago
12

The length of a rectangle is 2 cm more than 3 times its width. Find the length of the rectangle if the perimeter is 44 cm

Mathematics
1 answer:
Dovator [93]3 years ago
6 0
L = 3W + 2

P = 2W + 2L

44 = 2W + 2 * (3W + 2)

44 = 2W + 6W + 4

40 = 8W

W = 5

Substitute back into L equation;

L = 3 * 5 + 2

L = 17
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Georgia spent 150 minutes on her Maths homework last week.
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Evaluate and simplify tan 15º.
dimulka [17.4K]
Tan(15) = tan(45 - 30) 

= [tan(45) - tan(30) ] / [ 1 + tan(30)tan(45)] 

= (1 - 1/sqrt(3)) /(1 + 1/sqrt(3)) 

= (sqrt(3) - 1)/(sqrt(3) + 1) 

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6 0
3 years ago
Which function is equivalent to y = 2(x – 4)^2 + 8?
Flura [38]

Answer:

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8 0
2 years ago
What is the value of x? Round your answer to the nearest tenth if necessary.
katen-ka-za [31]

So to start off:

The equation you will want to use for the hypotenuse is

A (squared) + B (squared) = C (squared)

So you will want to fill in the equation like so:

7(7) + 4(4) = C (squared)

So now that you have your information filled out, put it all together!

49 + 16 = 65

Now don't forget that the 65 is SQUARED!

You will want to use the SQUARE ROOT method to help with that!

So what you will want to do is think of the numbers that are PERFECT SQUARES.

A perfect square consist of

Here is the list of perfect squares 1-10:

1 x 1 = 1

2 x 2 = 4

3 x 3 = 9

4 x 4 = 16

5 x 5 = 25

6 x 6 = 36

7 x 7 = 49

8 x 8 = 64

9 x 9 = 81

So look closely at these perfect squares, Do you see where 65 will lie?

It will lie between 8 and 9.

So you will do the square root now.

√65

The answer will come out as:

<span>8.06225775</span>

<span>You will then round it to the nearest tenths place (one after the decimal)</span>

You will look at the two numbers behind the decimal which is

0.6.

As you know,(If you round the tenths place), if the number in the hundredths is 5 or HIGHER. It will round up the number in the tenths place to 1.

So as we know 6 is higher than 5 so your answer would be:

8.1

I hope this helped! :)

>^.^<

(      )~


3 0
2 years ago
Read 2 more answers
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