Determine the value of x and y and the measure of

Mathematics

1 answer:

artcher [175]3 years ago

6 0

You need to finish the question

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Write an expression for the calculation eight minus the sum of five and 43 divided by

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4x-2<br> x=5<br>can someone help me with this?

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x= 5/2

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B, and i don't for the second one

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defon

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Mr.Brown received $5,602.5 last month

Step-by-step explanation:
Mr.Brown already has $5,600 and has 2.5. 2.5 as a fraction is 2 1/2, but it is easier having it as a decimal, so since it’s already a decimal all you need to do it add 5,600 and 2.5(5,600 + 2.5).

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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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