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OLEGan [10]
2 years ago
13

5.

Mathematics
1 answer:
almond37 [142]2 years ago
7 0
Well, the formula for the perimeter of a rectangle is:
2l + 2w.
So, by plugging in our values of the length and width, we can easily find an answer:
length = L
width = 1 + L ( 1/3 )
2 ( L ) + 2 ( L ( 1/3 + 1 ) = 42
2l + 2/3( L ) + 2 = 42
8/3 ( L ) = 40
L = 40 * 3/8
L = 15
Therefore, the length is 15 and the width is 6.
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they are 2 similar triangles, one is smaller than the other. they are in the ratio of 2:1,

hence 7x =56÷2

7x=28

x=4

4 0
3 years ago
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Savatey [412]

Answer:

3 inches

Step-by-step explanation: An equilateral triangle means all 3 sides are the same length.

A square also have the same length for all 4 sides.

So each side of the square is 6cm, to find the perimeter you do 6*4=24.

then divide the square's perimeter by 3 since triangle have 3 sides. 24/3=8

so each side of the triangle will be 8cm

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3 years ago
The width of bergstroms dining room table is three feet shorter then the length. If the area of the tabletop is 28 square feet,
weeeeeb [17]
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3 years ago
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Mamont248 [21]

Answer:

11) Here given Function,

f(x) = \sqrt{2x-11}

And, g(x) = -|0.1|x+5

For f(x) = g(x)

\sqrt{2x-11}=-|0.1|x+5

2x-11=(-|0.1|x+5)^2

2x-11=0.01x^2 - 10|0.1|x+25

2x=0.01x^2 - 10|0.1|x+25+11

2x=0.01x^2 - 10|0.1|x+36

0.01x^2 - 10|0.1|x - 2x+36=0

When we solve this equation,

We found,

 x = 12.5227 ≈ 12.53

Thus, the required solution is, x = 12.53

12) Here the height of rocket A in x second,

f(x) = -16x^2+74x+9

And, The height gain by the rocket B in x seconds,

g(x) = -16x^2+82x

If at x seconds both A and B gain the same height,

That is, f(x) = g(x)

⇒ -16x^2+74x+9= -16x^2+82x

⇒74x + 9 = 82x

⇒ 82x - 74x = 9

⇒ 8x = 9

⇒ x = 1.125 ≈ 1.13

Thus, the required solution is x = 1.13 seconds (approx)


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Answer:

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