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ANEK [815]
3 years ago
9

Help please... almost done.

Mathematics
2 answers:
lina2011 [118]3 years ago
5 0

Step-by-step explanation:

<h3>→ R (1,-6)</h3>

<h3>→ S (2,-6)</h3>

<h3>→ T (0, -3)</h3>
solmaris [256]3 years ago
3 0

Answer:

S: 2,-7

T: 0,-4

R: 1,-7

Step-by-step explanation:

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The answer is 64+47i
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B) How many more "dots” would you need to completely fill a 5 by 5 square?
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i think 25 or 80

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Solve cos(2x)=1-sin(x)
Vedmedyk [2.9K]

Given:

cos(2x)=1-sin(x)

Expanding using double angle formula,

1 - 2 \sin^{2} (x) = 1 -  \sin(x)

Rearranging into a single equation,

1 - 2 \sin^{2}(x) - 1 + \sin(x) = 0

Combining like terms,

- 2 \sin^{2} (x) +  \sin(x) = 0

Now multiplying each term by -1,

2 \sin^{2} (x) -  \sin(x) = 0

Factor greatest common factors out,

\sin(x)(2 \sin(x) - 1) = 0

Applying Zero property rule,

\sin(x) = 0 \: or \: 2 \sin(x) - 1 = 0

<h3><u>{</u> <u>For sin(x) = 0</u></h3>

• Solve the trignometric equation to find a particular solution,

x = 0 \: or \: x = π

=  > x = 2nπ \: or \: x = π + 2nπ

• Find the union of the solution sets,

x = nπ}

<h3><u>{</u> <u>For</u><u> </u><u>2</u><u> </u><u>sin</u><u>(</u><u>x</u><u>)</u><u> </u><u>-</u><u> </u><u>1</u><u> </u><u>=</u><u> </u><u>0</u> ,</h3>

• Rearrange unknown terms to the left side,

2 \sin(x)  = 1

• Divide both sides of the equation by the coefficient of variable,

\sin(x) =  \frac{1}{2}

• Solve the trignometric equation to find a particular solution,

x =  \frac{π}{6} \: or \: x =  \frac{5π}{6}

=  > x =  \frac{π}{6} + 2nπ \: or \: x =  \frac{5π}{6} + 2nπ,n∈Z

}

☆ Now finding the union of both sets

x = nπ \: or \: x =  \frac{π}{6} + 2nπ \: or \: x =  \frac{5π}{6} + 2nπ,n∈Z

Hence, the answer is x = nπ \: or \: x =  \frac{π}{6} + 2nπ \: or \: x =  \frac{5π}{6} + 2nπ,n∈Z

3 0
3 years ago
Did you know that 4+4 is 8
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not really

Step-by-step explanation:

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 Jalen is painting her great room including the ceiling but not the floor. The room measures 20 ft long, 30 wide and 9 ft tall.
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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 />

3 0
2 years ago
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