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3 years ago

Dwayne is finding the base of the triangle shown. It's area is 100 square meters. find his mistake and correct it.

Mathematics

2 answers:

EleoNora [17]3 years ago

8 0

$100 = \frac{1}{2} 20 \times (b) \\ 100 = 10b \\ b = 10$

DIA [1.3K]3 years ago

5 0

His mistake is in the formula for Area of triangle. The correct formula is:

$A= \frac{1}{2}(base)(height)$

Given that, Area= 100 sq. meter and height = 20 meter

So,

$100 = \frac{1}{2}(base)(20)\\ \\ 100 = (base)(10)\\ \\ base = \frac{100}{10}=10$

So, the base of the triangle will be 10 meter.

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Natasha2012 [34]

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Solution:

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Let "y" be the number of granny smith apples bought

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Cost of 1 granny smith apple = $ 0.25

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Therefore,

number of gala apples bought + number of granny smith apples bought = 19

x + y = 19 --------- eqn 1

The total cost of the apples is $5.10

Therefore, we can frame a equation as:

number of gala apples bought x Cost of 1 gala apple + number of granny smith apples bought x Cost of 1 granny smith apple = 5.10

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0.3x + 0.25y = 5.1 -------- eqn 2

Let us solve eqn 1 and eqn 2

From eqn 1,

x = 19 - y ---------- eqn 3

Substitute eqn 3 in eqn 2

0.3(19 - y) + 0.25y = 5.1

5.7 - 0.3y + 0.25y = 5.1

5.7 - 0.05y = 5.1

0.05y = 5.7 - 5.1

0.05y = 0.6

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Substitute y = 12 in eqn 3

x = 19 - 12

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