Estimate the quotient to the nearest whole number by using compatible numbers 32.49 / 4.26?

Mathematics

1 answer:

TEA [102]4 years ago

4 0

<span>32.49 = 30
</span><span>4.26 = 5

30 / 5 = 6

answer
6

</span>

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Vikentia [17]

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Step-by-step explanation:

These are geometric means problems. In the top one, a is the geometric mean as the height for both the smaller triangles inside the big one. Therefore,

$\frac{4}{a} =\frac{a}{25\\}\\a^2=100\\a=10$

The next one has the geometric mean of b, being a part of the smaller triangle on the left and the big triangle as a whole:

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<h2>Perfect Squares</h2>

Perfect square formula/rules:

$a^2+2ab+b^2=(a+b)^2$
$a^2-2ab+b^2=(a-b)^2$

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The <em>b</em> value in this case is <em>c</em>, and it will always equal the square of half of the <em>b</em> value.

Perfect square trinomial: $ax^2+bx+(\dfrac{b}{2})^2$
or $ax^2-bx+(\dfrac{b}{2})^2$

<h2>Solving the Question</h2>

We're given:

$c^2-4c$

In a trinomial, we're given the $ax^2$ and $bx$ values. <em>a</em> in this case is 1 and <em>b</em> in this case is 4. To find the third value by dividing 4 by 2 and squaring the quotient: