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SashulF [63]
1 year ago
15

TASK 3

Mathematics
1 answer:
Fofino [41]1 year ago
8 0

The area will be equal to Area = (28)(21) / 2 = 294 square inches.

<h3>What is the area?</h3>

To determine the area of a triangle, we calculate one half of the product of the base and the height of the triangle so we need data on its base and its height. We are given the following:

Hypotenuse = 7 + base = 14 + height

Perimeter = 84 inches

The perimeter of the triangle is equal to the sum of the three sides of the triangle which are the height, base and hypotenuse. So,

Perimeter = height + base + hypotenuse = 84

We let x = height and y = base. We calculate area as follows:

84 = x + y + (7 + y)

77 = x + 2y

x = 77 -2y

The Hypotenuse is related to the other sides by the Pythagorean theorem.

Hypotenuse^2 = (x^2 + y^2)

(14 + x)^2 = x^2 + y^2

(14 + (77-2y))^2 = (77-2y)^2 + y^2

(91-2y)^2 = (77-2y)^2 + y^2

Solving for y and x

y = 28

x = 21

Area = (28)(21) / 2 = 294 square inches

To know more about the area follow

brainly.com/question/3948796

#SPj1

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Answer:

263/280 or 0.9

Step-by-step explanation:

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280-17 (out of 280)

=263/280

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Henry had 20 convertibles and 5 trucks in his miniature car collection. After Henry's aunt bought him some more miniature trucks
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Answer:

Her aunt buy <u>75</u> trucks.

Step-by-step explanation:

Given:

Henry had 20 convertibles and 5 trucks in his miniature car collection. After Henry's aunt bought him some more miniature trucks, Henry noticed that a fifth of his collection were convertible.

Now, to find the trucks her aunt buy.

Let the total collection of Henry be x.

<em>Number of trucks Henry had in his collection = 5.</em>

<em>Number of convertibles Henry had in his collection = 20.</em>

As, Henry's \frac{1}{5} collection were convertible.

Now, to get the total number of collection:

\frac{1}{5}\ of\ x=20.

\frac{1}{5} \times x=20

<em>Multiplying both sides by 20 we get:</em>

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<em>Total collection of Henry = 100.</em>

So, the total number of trucks he had in his collection is:

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=100-20

=80.

<em>Hence, Henry had total 80 trucks in his collection.</em>

<em>And 5 trucks he had already in his miniature car collection.</em>

Now, to get the number of trucks her aunt buy we subtract trucks he had already in his miniature car collection from the total number of trucks in Henry's collection:

<u><em>Total number of trucks in Henry's collection - Number of trucks already in his miniature car collection.</em></u>

=80-5

=75.

Therefore, her aunt buy 75 trucks.

8 0
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