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madam [21]
3 years ago
13

7. A shopkeeper can buy 36 toys for $20.52. What will befor 120 toys?​

Mathematics
1 answer:
sweet [91]3 years ago
4 0

Answer:

$68.40

Step-by-step explanation:

Let x represent the required cost.

Since the number of toys is directly proportional to the cost:

x : $20.52 = 120 : 36

i.e.  x/$20.52 = 120/36

      x = (\frac{120 * $20.52})/36

      x = $2462.40/36

      x = $68.40

Hope this helps!!!

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What is the area of the triangle in the diagram?
Vladimir [108]

1/2sqrt((x_1^2+y_1^2)(x_2^2+y_2^2))

The area of a triangle is equal to 1/2bh (one half base times height). Since this is a right triangle, the base and height are the two legs connected to the 90* angle. To find the values of these sides, we will use Pythagorean Theorem, root a squared plus b squared.

Short leg: <x(1),y(1)>

This leg can be seen as the hypotenuse of an invisible right triangle. The x value, x(1), is how far over the x value has gone from the origon at x=0. Imagine a leg alone the x-axis, going from (0,0) to (x(1),0). The y value of the point, y(1), works the same way. This leg will go from our previous mark at (x(1),0) to the point (x(1),y(1)). This shows that the short leg of the main triangle is the hypotenuse, with a height of y(1) and base of x(1). Pythagoreum Theorem shows that the length of this leg is equal to sqrt(x_1^2+y_1^2).

Long leg: <x(2), y(2)>

The same process works here, giving us sqrt(x_2^2+y_2^2).

Now for the area, we have the b and h values. Our equation reads 1/2sqrt(x_1^2+y_1^2)sqrt(x_2^2+y_2^2).

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So the correct answer is 1/2sqrt((x_1^2+y_1^2)(x_2^2+y_2^2))

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i think this is the answer your looking for
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2 years ago
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sladkih [1.3K]

The highlighted variables a = 6 , b = 2, c=6 , d =2 , e=6 , f =6 , g =1

<h3>What is an Expression ?</h3>

An expression is a mathematical statement which consists of variables , constants and mathematical operators.

\rm \dfrac{2}{x^2-36}-\dfrac{1}{x^2+36}\\= \dfrac{2}{(x+6)(x-6)}-\dfrac{1}{x(x+a)}\\=\dfrac{bx}{x(x+6)(x-6)}-\dfrac{x-c}{x(x+6)(x-6)}\\\\=\dfrac{dx-x+e}{x(x+6)(x-6)}\\\\= \dfrac{x+f}{x(x+6)(x-6)}\\\\=\dfrac{g}{x(x-6)}

In the given expression

a = 6 , b = 2, c=6 , d =2 , e=6 , f =6 , g =1

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brainly.com/question/14083225

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