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3 years ago

If two similar rectangles have corresponding sides with a ratio of 2:3, what is the

Mathematics

1 answer:

AlladinOne [14]3 years ago

4 0

Answer:

4:9 ratio

Step-by-step explanation:

We know that the sides cannot be the same because it is a rectangle, therefore there is a width and length.

For the width, which is the shortest side, we will keep the radius as it is, that is, for rectangle 1 it will be 2 and for rectangle 2 it will be 3.

For the length, which is the longest side, we multiply the radius by two, which means that rectangle 1 will be 4 (2 * 2) and for rectangle 2 it would be 6 (2 * 3)

If we calculate the area it would be:

rectangle 1:

2 * 4 = 8

rectangle 2:

3 * 6 = 18

Which means that the radius is 8/18 = 4/9

What is a 4: 9 ratio

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Online jewelry sales have increased steadily over the last 10 years. In 2003, sales were approximately 2 billion dollars, and in

KiRa [710]

Answer: (i) The unit rate at which online jewelry sales have been increasing is 1.33 billion dollars per year.

(ii) The online jewelry sales in 2019 will be 191.7 billion dollars.

Step-by-step explanation:

In 2003, sales were approximately 2 billion dollars and in 2010, they were approximately 14.8 billion dollars.

(i) If $x$ is the number of years after 2003 and $y$ is the amount of sales....

then the equation will be: $y= ab^x$ , where $a$ is the initial amount and $b$ is the growth rate.

for 2003, $x=0$ and for 2010, $x=7$

So, the two points in form of (x, y) will be: $(0,2)$ and $(7,14.8)$

Now plugging these two points int the above equation....

$2= ab^0\\ \\ a= 2\\ \\ and\\ \\ 14.8=ab^7\\ \\ 14.8=2*b^7\\ \\ b^7=7.4\\ \\b= \sqrt[7]{7.4}=1.3309.... \approx 1.33$

Thus, the online jewelry sales have been increasing at a rate of 1.33 billion dollars per year.

(ii) As we got $a=2$ and $b=1.33$ , so the equation will be now: $y= 2(1.33)^x$

For the year 2019, the value of $x$ will be: (2019-2003) = 16

So plugging $x=16$ into the above equation, we will get.....

$y=2(1.33)^16\\ \\ y=191.7150... \approx 191.7$

(Rounded to the nearest tenth)

Thus, the online jewelry sales in 2019 will be 191.7 billion dollars.

6 0

3 years ago

I need help i dont know how to do it and i dont know the answer

Aloiza [94]

Answer:

125 ft²

Step-by-step explanation:

We know that that surface area of the triangular prism that will be covered with insulation is equal to the area of the two triangular faces, plus the two lateral rectangular faces.

So you get:

SA = 2 [ $\frac{1}{2}\\$ (15)(15)] + 2 [(30)(15)] = 1,125 ft²

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3 years ago

15 is what percent of 600? Pls show work

chubhunter [2.5K]

Answer:

Step-by-step explanation:

600(.15) = 90

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2 years ago

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Mike is giving roses to some children at a carnival. He has 7 red roses, 8 yellow roses, and 9 white roses. If Mike selects a ro

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The probability, in simplest form, is 3/23.

There are 9+8+7=24 roses. The probability of drawing a white rose first is 9/24. The probability of then drawing a yellow rose is 8/23, as one of the roses is gone. The total probability is 9/24(8/23) = 72/552 which then simplifies to 3/23.

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