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Vsevolod [243]
3 years ago
7

If the length of each side of the right triangle shown on the grid is measured in cm, find the area of the triangle.

Mathematics
1 answer:
Rus_ich [418]3 years ago
7 0

The area of the given triangle is 25 square cm.

Step-by-step explanation:

Step 1:

First, we plot the coordinates of the triangle.

The right bottom end of the triangle is at (15, 5).

The bottom left end of the triangle is at (10, 5).

The top left end of the triangle is (10, 5).

The area of a triangle is given by half the product of its base length and the height of the triangle.

Step 2:

The area of a triangle= \frac{1}{2} (base)(height).

The base is the distance between the bottom two points. The base length= 15 -10 = 5 cm.

The height is the distance between the two left points. The height= 15 - 5 = 10 cm.

The area of the triangle = \frac{1}{2} (5)(10) = 25.

The area of the given triangle is 25 square cm.

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<u>The expected number of mortgages approved per week</u> :

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Expected Number approved = 210 ÷ 104 = 2.019

Hence, it is expected that 2.019 mortageahes would be approved per week.

<u>The standard deviation</u> :

  • <em>Variance = [Σ(Xi - x)² ÷ Σf] </em>

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Variance = (59.5414 ÷ 104) = 0.0005698

Standard deviation = √0.0005698

Standard deviation = 0.024

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Therefore, the  function y = -x  whose  reflection in the line y =x is itself.

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