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2 years ago

6

10. Write an equation that represents the situation below. Then give a different combinations of coins that are possible, a pigg

y bank contains only dimes and quarters. The total amount inside the bank is $6.25.

1 answer:

nevsk [136]2 years ago

6 0

Equation: 0.10d + 0.25q = 6.25
There can be 60 dimes and 1 quarter
There can also be 20 dimes and 17 quarters
A lot of combinations

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Using the Law of Cosines, in triangle DEF, if e=18yd, d=10yd, f=22yd, find measurement of angle D

Ivahew [28]

Check the picture below.

$\bf \textit{Law of Cosines}\\ \quad \\
c^2 = {{ a}}^2+{{ b}}^2-(2{{ a}}{{ b}})cos(C)\implies 
c = \sqrt{{{ a}}^2+{{ b}}^2-(2{{ a}}{{ b}})cos(C)}
\\\\\\
\cfrac{{{ a}}^2+{{ b}}^2-c^2}{2{{ a}}{{ b}}}=cos(C)\implies cos^{-1}\left(\cfrac{{{ a}}^2+{{ b}}^2-c^2}{2{{ a}}{{ b}}}\right)=\measuredangle C\\\\
-------------------------------\\\\
\begin{cases}
d=10\\
e=18\\
f=22
\end{cases}\implies cos^{-1}\left(\cfrac{{{ 18}}^2+{{ 22}}^2-10^2}{2(18)(22)}\right)=\measuredangle D$

$\bf \implies cos^{-1}\left(0.893\overline{93}\right)=\measuredangle D\implies 26.63^o\approx \measuredangle D$

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3 years ago

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Scrat [10]

Answer:

31.411

Step-by-step explanation:

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2 years ago

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In this problem:

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More can be learned about the profit concept at brainly.com/question/4001746

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1 year ago