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GuDViN [60]
2 years ago
13

Help pls

Mathematics
1 answer:
Oxana [17]2 years ago
4 0

If the areas of rectangles A, B, and C are 11, 33, and 75, respectively. Then the area of the rectangle D will be 25 square units.

<h3>What is a rectangle?</h3>

It is a polygon with four sides. The total interior angle is 360 degrees. A rectangle's opposite sides are parallel and equal, and each angle is 90 degrees. Its diagonals are all the same length and intersect in the center.

In the figure below, the areas of rectangles A, B, and C are 11, 33, and 75, respectively.

Then the area of the rectangle D will be

Let a be the length and b be the width of the rectangle D. Then we have

The ratio of the area of the rectangles will be

\rm \dfrac{A_A}{A_B} = \dfrac{A_D}{A_C}\\\\\\A_D  = \dfrac{A_A \times A_C}{A_B}\\\\\\A_D = \dfrac{11 \times 75}{33}\\\\\\A_D = 25

More about the rectangle link is given below.

brainly.com/question/10046743

#SPJ1

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Bear in mind that the area of a "parallelogram" is base * height.

notice the picture, the front and back parallelograms, have an altitude/height of 3 cm, and  a base of 8 cm, so the area of one of those two is 3*8.

as far as the left and right parallelograms, they have a base of 7 cm, but the altitude is also 3 cm, so the area of one of those is 3 *7.

bear in mind the altitude/height is the distance from the base to the top, and in this case is just 3 cm.

anyway, you have 4 parallelograms, get the area of each, add them up, and that's the surface area of the figure.

2(3*8) + 2(3*7).
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Write an equation to describe the proportional relationship in this table. Explain your thinking and how you got your answer.
creativ13 [48]

Focus on the values in red outside the table (on the left and right sides). As the output increases by 4, the input increases by 1. This leads to the slope being rise/run = 4/1 = 4. The slope is the number just to the left of the x variable. So that's how they ended up with the equation y = 4x.

You can think of it as y = 4x+0, and note how it's in the form y = mx+b

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The y intercept is the value of y when x = 0.

--------

Now because x = 0 and y = 0 pair up together, we can find the slope a different way: Pick any row other than the first row. Divide the y value over its paired x value. So let's say we pick on row two and we'd get a slope of y/x = 4/1 = 4.

Or we could pick on row three and get y/x = 8/2 = 4.

Picking on the fourth row gets us the slope to be y/x = 12/3 = 4. We end up with the same slope value each time. Again, this trick only works if (x,y) = (0,0) is on the line. Otherwise, you'll need to use the first method or use the slope formula.

For equations like this, we consider them a direct proportion. As x increases, so does y. As x increases by 1, y increases by 4. This is the same throughout the table.

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A real world example of this could be that x represents the number of sodas you buy, and if each soda is $4, then y = 4x represents the total cost of buying x number of sodas.

For instance, if you bought x = 10 sodas, then y = 4*x = 4*10 = 40 dollars is what you spend overall.

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°°°4°°°2°°°-18°°°°°°38
•|
-3|°°°-12°°°30°°°°°-36
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