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alexira [117]
3 years ago
7

In the triangle below, b = _____. If necessary, round your answer to two decimal places.

Mathematics
1 answer:
lara [203]3 years ago
7 0
Angle B=180-(38+31.6)=110.4
by law of sin
sin B/b=sinA/A
sin(110.4)/b=sin38/25
b=25*sin(110.4)/sin(38)=38.06
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3 years ago
Find a4 for the arithmetic series with S4=-36 and a1=9
erastova [34]

ANSWER

The 4th term is -27

EXPLANATION

The sum of the first n-terms of an arithmetic sequence is

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It was given that,

S_4 =  - 36

a_1 = 9

- 36= \frac{ 4}{2} (2 \times 9+d(4-1))

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-18=18+3d

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The n-term is given by:

a_n=a_1+ (n-1)d

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a_4=9+ (4-1)  \times -12

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5 0
3 years ago
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4 cans of paint

\sf --->  \ \ {\boxed {\boxed {\frac{area  \ of \ room - area \ of \ floor}{area \ the \ paint \ covers} }}}

\hookrightarrow \sf {\dfrac{2(wl+hl+hw)- (lw)}{400}}

\hookrightarrow \sf {\dfrac{2((30)(20)+(9)(20)+(9)(30))-(20*30)}{400}

\hookrightarrow \sf {\dfrac{1500}{400}

\hookrightarrow \rm {\sf {3.75}}

→ She should buy max 4 cans as she cannot buy 3.75 cans.

<em>Here </em><em>l</em><em> refers to length, </em><em>w</em><em> refers to width, </em><em>h</em><em> refers to height.</em>

<em />

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2 years ago
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