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2 years ago

find the perimeter and diagonal of a square whose area is equal to the area of a rectangle whose length is 9m and breadth is 4m

1 answer:

4 0

$Area\ of\ a\ rectangle:A_{\fbox{ }}=9m\times4m=36m^2\\\\a-side\ of\ a\ square\\\\Area\ of\ a\ square:A_{\fbox{}}=a^2\\\\A_{\fbox{ }}=A_{\fbox{}}\Rightarrow a^2=36m^2\Rightarrow a=\sqrt{36m^2}\Rightarrow a=6m\\\\Perimeter\ of\ the\ square:P=4a\Rightarrow P=4\times6m=\boxed{24m}\\\\Diagonal\ of\ the\ square:d=a\sqrt2\Rightarrow d=\boxed{6\sqrt2\ m}$

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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

UNO [17]

Answer:

$rate\ of\ increase = 28.8\ billion\ dollars\ per\ year$

model: $y = 28.8(t-2003) + 2$

profit in year 2017: $y = 405.2\ billion\ dollars$

Step-by-step explanation:

The sales increased from 2 billion dollars to 146 billion dollars in five years, so to find the increase in billion dollars per year, we just need to divide the increase by the amount of time:

$rate\ of\ increase = (146 - 2)/5 = 144 / 5 = 28.8\ billion\ dollars\ per\ year$

To construct a model for these sales, we can use the year 2003 as the initial point of a linear equation:

$y = ax + b$

the variable y will represent the profit in billion dollars, the variable x will represent our time, so we can use (t - 2003) in its place to represent the number of years since 2003 (t is the year we want to calculate), the constant 'a' will be our rate of 28.8, and the constant 'b' is the inicial value for the year 2003, that is, 2 (billions). So we have:

$y = 28.8(t-2003) + 2$

In the year 2017, we would have:

$y = 28.8(2017-2003) + 2$

$y = 28.8*14 + 2$

$y = 405.2\ billion\ dollars$

6 0

2 years ago

Please help me with the question

Damm [24]

Answer:

The right answer is Option 2:

$y+6 = -\frac{3}{4}(x-2)$

Step-by-step explanation:

Point-slope form of equation of a line is given by:

$y-y_1 = m(x-x_1)$

Here m is slope of the line and (x1,y1) is the point from which the line passes.

Given

Slope = m = -3/4

Point = (x1,y1) = (2,-6)

We simply have to put these value into the general form of equation of line in point-slope form

$y-(-6) = -\frac{3}{4}(x-2)\\y+6 = -\frac{3}{4}(x-2)$

Hence,

The right answer is Option 2:

$y+6 = -\frac{3}{4}(x-2)$

7 0

2 years ago

Use the table to find the ratio. Enter the ratio as a fraction in simplest form.

marusya05 [52]

Answer:

4/19

Step-by-step explanation:

3 0

2 years ago

Which of the following correctly uses absolute value to show the distance between −50 and 12?

Softa [21]

Answer:

62 units

Step-by-step explanation:

The absolute value of a number A is the positive distance between 0 and the number A (you can think this distance as the distance measured with a ruler from 0 to the number). For example:

|-2|=2 , |25|=25, |-3|=3, |-25.3|=25.3

Note that the absolte value is always positive.

The distance between two numbers P,Q in the real line is the absolute value of the difference between the two points:

Hence, the distnce between P=-50 and Q=12 is equal to

7 0

2 years ago

Is -56,912 a irrational or rational number

kow [346]

I believe it's a rational number, since it's an integer.

7 0

2 years ago