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eduard
3 years ago
7

A roller coaster makes an angle of 52 degrees with the ground. The horizontal distance from the crest of the hill to the bottom

of the hill is about 121 feet. Find the height of the roller coaster.
Mathematics
1 answer:
Ann [662]3 years ago
4 0

Answer:

Step-by-step explanation:

Using soh cah toa

Sin=opp/hot

Sin 52°=h/121

h=sin52°×121

h=0.7880×121feet

h=95.348feet

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3 years ago
a jar contains nickels and pennies. there are 56 coins in the jar in all. the total value of the coins is 1.52. how many pennies
nevsk [136]
1 penny is just 1c
one nickel is 5 pennies or 5c

alrite...

p = amount of pennies in the jar
n = amount of nickels in the jar

we know there are 56 coins in the jar, thus whatever "p" and "n" are,

p + n = 56

we also know, the total value of all pennies and nickels is one buck and 52 cents, or 1.52.. that's 152 pennies.

now, we know there are 5 pennies in one nickel, so in "n" nickels, there are 5*n pennies, or 5n, thus

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\bf \begin{cases}
p+n=56\implies \boxed{n}=56-p\\
p+5n=152\\
----------\\
p+5\left( \boxed{56-p} \right)=152
\end{cases}

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what about the nickels? well, n = 56 - p.
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3 years ago
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