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katrin2010 [14]
3 years ago
14

In your pattern which shape covers more of the plane blue rhombus red trapezoid or green triangles? Explain how you know.

Mathematics
1 answer:
mixas84 [53]3 years ago
3 0

Answer:

Which shapes cover more of the plane" means that we are comparing the areas covered by the different types of shapes. In these patterns, two triangles match up to one rhombus, and three triangles match up to one trapezoid.

In both Pattern A and Pattern B, the first hexagonal part is made up of 7 triangles, 4 rhombuses, and 3 trapezoids.

The first hexagonal part is repeated across the pattern, so whichever type of shape covers the most area of this first part also covers the most area in the whole pattern.

<em>hope it helps</em>

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<h2>Answer:</h2>

The expression which represents the perimeter P of the rectangle as a function of L is:

          Perimeter=2(L+\sqrt{100-L^2})

<h2>Step-by-step explanation:</h2>

The length and width of a rectangle are denoted by L and W respectively.

Also the diagonal of a rectangle is: 10 inches.

We know that the diagonal of a rectangle in terms of L and W are given by:

10=\sqrt{L^2+W^2}

( Since, the diagonal of a rectangle act as a hypotenuse of the right angled triangle and we use the Pythagorean Theorem )

Hence, we have:

10^2=L^2+W^2\\\\i.e.\\\\W^2=100-L^2\\\\W=\pm \sqrt{100-L^2}

But we know that width can't be negative. It has to be greater than 0.

Hence, we have:

W=\sqrt{100-L^2}

Now, we know that the Perimeter of a rectangle is given by:

Perimeter=2(L+W)

Here we have:

Perimeter=2(L+\sqrt{100-L^2})

7 0
3 years ago
Ace autos sell cars and pay sue each month as follows
Dima020 [189]

Sue's total pay of year will have three parts

1) Fixed Salary for 12 months

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2) 26% of total profit

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   Profit =  Total income for the company - Total cost to the company

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3) Bonus if Sue sells at least 16 cars

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Adding the three above parts

Sue's total pay for the year = £16920 + £19630 + £1560 = £38110




   


 


7 0
3 years ago
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meriva

Answer:

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Step-by-step explanation:

Since they have the same denominator, you can compare the numerator. Since 2<3, then 2/6 < 3/6.

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