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Alex17521 [72]
4 years ago
9

PLEASE HELP IMAGE ATTACHED! These triangles are similar. Find the area of the smaller triangle to the nearest whole number.

Mathematics
2 answers:
amid [387]4 years ago
7 0
As the triangles are similar, the ratio of their length and area will be the same
so as the ratio of the length is
16:12=4:3
the ratio of the area is also 4:3
we know the bigger triangle area is 105.
So 105 would be 4 units.
1 unit would be 26.25
and 3 units would be 78.75
rounded up to 79
Liula [17]4 years ago
5 0
Area of a triangle = (1/2)base × height. you have the area and the base so substitute. 105=(1/2)16h... 105/8=13.125 so the height of the first triangle is 13.125.... now set up a proportion using the heights and bases of the similar triangles: 13.125/16=x/12... so x, the height of the second triangle is about 9.84.... now use the original formula to calculate the area of the second triangle... 9.84×12×.5= approx 59 sq ft
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1. Amanda tells you that because a variable is in the denominator, the equation three over x plus one over three equals five ove
Hunter-Best [27]

Answer: x = 6

<u>Step-by-step explanation:</u>

\dfrac{3}{x}+\dfrac{1}{3}=\dfrac{5}{6}

(6x)\dfrac{3}{x}+(6x)\dfrac{1}{3}=(6x)\dfrac{5}{6}  <em>multiplied by common denominator</em>

18 + 2x = 5x

<u>       -2x</u>   <u>-2x</u>

18         = 3x

<u>÷3         </u>  <u>÷3 </u>

6          =  x

Since "x" is in the denominator, the restriction is that x ≠ 0.  If the solution was x = 0, then the solution would not be valid and would be eliminated as an answer.

Remember that "x" is just an unknown value.  It is possible to add two fractions together and have their sum be a fraction.

For example: \dfrac{1}{5} + \dfrac{2}{5} = \dfrac{3}{5} could be written as \dfrac{1}{5} + \dfrac{2}{x} = \dfrac{3}{5}.  When we solve it, we will get x = 5.

******************************************************************************************

Answer: Edward

<u>Step-by-step explanation:</u>

f(x)=\dfrac{(x-1)(x+2)(x+4)}{(x+1)(x-2)(x-4)}

The denominator cannot equal zero, so:

  • x + 1 ≠ 0  → x ≠ -1
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Those x-values are the asymptotes, which is where the function is undefined.

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4 years ago
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Sati [7]

Answer:

37080

Step-by-step explanation:

To solve this problem we need to use proportions:

We don't know the total population in Rookery A but we know that 6334 of the total were tagged. Later, from a sample of 1200 pups, 205 were previously tagged.

The proportions we get are:

\frac{p}{6334} =\frac{1200}{205} where p is the total population.

Now we will solve the proportion for p:

\frac{p}{6334} =\frac{1200}{205}\\p=\frac{(6334)(1200)}{205} \\p=\frac{7600800}{205} \\p=37077.07

Therefore the total number of fur seal pups is 37077 ≈ 37080

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