Turn 12 and 25 into a fraction

Mathematics

1 answer:

Zina [86]3 years ago

4 0

You add a 1 under the 12 and 25

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Read 2 more answers

Which expression simplifies...

Zina [86]

Answer:

see below

Step-by-step explanation:

If suffices to look at the last term. It must simplify to 4/(3w²), so the exponents of z must match in numerator and denominator, and the ratio of constants must reduce to 4/3.

The exponents of z have the right values in choices B and D, but the ratio of constants only matches in choice D. Looking at the rest of choice D, we see that we can factor 6w²z² from both numerator and denominator, then factor 2 from the remaining numerator to make it match the desired form.

$\dfrac{(12w^2z^4-24w^2z^2)}{18w^4z^2}=\dfrac{6w^2z^2}{6w^2z^2}\cdot\dfrac{2z^2-4}{3w^2}=\dfrac{2(z^2-2)}{3w^2}$

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It takes ten identical pieces to form a circular track for a pair of toy racing cars. If the inside arc of each piece is 3.4 inc

dsp73

<span>Length of outer track = sum of length of 10 pieces = circumference of the outer circle

if R is the Radius of outer circle then...

Circumference of the outer track = 2pi*R

Similarly the circumference of the inner track (with radius r) = 2pi*r

length of each outer piece is 3.4 inch more than length of inner piece

So total outer length is 10*3.4 =34 inches more than the inner length.

=> Outer Circumference - Inner Circumference = 34 inches

=> 2pi*R - 2pi*r = 34

=> 2pi(R -r) = 34

=> R-r = 34/2pi = 5.41 inches

=> R-r = Width of the track = 5.41 inches</span>

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