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andreyandreev [35.5K]
3 years ago
10

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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mel-nik [20]

We have the next two equations:

f(x)=-13x+12

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\frac{f(3)}{g(3)}=\frac{-27}{11}

-27/11 is the result.

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A baker buys 19 apples of two different varieties to make pies. The total cost of the apples is $5.10. Granny Smith apples cost
Natasha2012 [34]

The baker bought 7 gala apples, and 12 granny smiths apples

<em><u>Solution:</u></em>

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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

<em><u>A baker buys 19 apples of two different varieties to make pies</u></em>

Therefore,

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

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

<em><u>The total cost of the apples is $5.10</u></em>

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

x \times 0.30 + y \times 0.25 = 5.10

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

<em><u>Let us solve eqn 1 and eqn 2</u></em>

From eqn 1,

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

<em><u>Substitute eqn 3 in eqn 2</u></em>

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

y = 12

<em><u>Substitute y = 12 in eqn 3</u></em>

x = 19 - 12

x = 7

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The two tangent lines for each circle are the same length. Set the equations to equal and solve for x.

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Add 2 to each side:

-x = -5

Multiply both sides by -1:

x = 5

8 0
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