3 years ago

Find the value of each variable, please explain.

Mathematics

1 answer:

Airida [17]3 years ago

4 0

Answer:

x=67

y=113

z=50

Step-by-step explanation:

x=180-28-85=67

y=180-67=113

z=17+113=50

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Como se simplifican los términos algebraicos

mel-nik [20]

Answer:

what the????????..........

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3 years ago

Please help I don’t really understand how to go about it.

Airida [17]

$\bf \textit{sum of an arithmetic sequence}
\\\\
S_n=\cfrac{n(a_1+a_n)}{2}\qquad 
\begin{cases}
n=n^{th}\ term\\
a_1=\textit{first term's value}\\
----------\\
S_n=795\\
a_1=102\\
a_n=57
\end{cases}
\\\\\\
795=\cfrac{n(102+57)}{2}\implies 1590=159n
\\\\\\
\cfrac{1590}{159}=n\implies 10=n\\\\
-------------------------------$

so the nth term is really the 10th term, and we know that's 57, thus

$\bf n^{th}\textit{ term of an arithmetic sequence}
\\\\
a_n=a_1+(n-1)d\qquad 
\begin{cases}
n=n^{th}\ term\\
a_1=\textit{first term's value}\\
d=\textit{common difference}\\
----------\\
n=10\\
a_{10}=57\\
a_1=102
\end{cases}
\\\\\\
57=102+(10-1)d\implies 57=102+9d\implies -45=9d
\\\\\\
\cfrac{-45}{9}=d\implies -5=d$

so, that's the common difference... .so you'd surely know what the 3rd term is, notice the first one is 102.

3 0

3 years ago

Find the value of sec 38 ° to 4 decimal places.

oksian1 [2.3K]

Secd(38)
= 1/cosd(38)
= 1/sqrt[1-sind^2(38)] because cos^2(x) + sin^2(x) = 1
cos(30) = sqrt(3)/2 = 0.8660
cos(45) = 0.707
so cos(38) can be assumed to some where around 0.8
= 1/0.8
= 1.25

Therefore D is correct answer

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3 years ago

If 10% is deducted from bill, $58.50 remains to be paid. How much is original bill?

julsineya [31]

Answer:

$65.33

Step-by-step explanation:

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3 years ago

Read 2 more answers

I'll give brainliest if you show your work. Plz answer quickly.

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