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kotykmax [81]
2 years ago
5

Write the ratio 42 inches to 9 feet as a fraction in simplest form. Explain why you get the same result whether you convert feet

to inches or convert inches to feet.
Mathematics
1 answer:
V125BC [204]2 years ago
4 0
Let's convert one of these numbers:
1 foot = 12 inches

9 feet were 9*12=108 inches

so the ratio would be 42: 108

or we can simplify it: divide by 2:
21:54

divide by 3:
7:18

A ratio always stays the same no matter the unit or currency, so it doesn't matter which unit we convert it to.
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x^2+15

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Anuta_ua [19.1K]

S\frac{O}{H}C\frac{A}{H}T\frac{O}{A}   or   Sin\frac{Opposite}{Hypotenuse} Cos\frac{Adjacent}{Hypotenuse} Tan\frac{Opposite}{Adjacent}


The hypotenuse is the longest side of the triangle. The opposite is the side that is across from a point/angle. The adjacent is the side next to a point/angle.


At ∅ (pretend that's theta LOL), 17 is the hypotenuse, 8 is the opposite side, and 15 is the adjacent side.


So:

sin ∅ = Opposite/Hypotenuse

sin ∅ = \frac{8}{17}


cos ∅ = Adjacent/Hypotenuse

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tan ∅ = Opposite/Adjacent

tan ∅ = \frac{8}{15}

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3 years ago
M(-3,2) is the midpoint of AP. If A has coordinates (-1,5), what are the<br> coordinates of P?
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Answer:

<h3>            P(-5, -1)</h3>

Step-by-step explanation:

If M is midpoint of AP then:  

x_P-x_M=x_M-x_A\qquad\quad\ \wedge\qquad y_P-y_M=y_M-y_A\\\\x_P-(-3)=-3-(-1)\qquad\wedge\qquad y_P-2=2-5\\\\x_P+3=-3+1\qquad\quad\ \wedge\qquad\quad y_P-2=-3\\\\x_P=-3+1-3\qquad\quad\ \wedge\qquad\quad y_P=-3+2\\\\x_P=-5\qquad\qquad\ \wedge\qquad\qquad y_P=-1

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