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nordsb [41]
4 years ago
11

Solve 2(2 - x) less than or equal to -3x - 2 for x

Mathematics
2 answers:
Alecsey [184]4 years ago
8 0
2(2-x)< or = to -3x-2 *Distribute
4-2x< or = to -3x-2  *Add 3x to both sides
4+x< or = to -2 *Subtract 4 to get x alone
x< or = to -6
shusha [124]4 years ago
8 0
The answer is x< or to -6 I really hope this helped
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3 years ago
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Root 3 cosec140° - sec140°=4<br>prove that<br><br>​
Lorico [155]

Answer:

Step-by-step explanation:

We are to show that \sqrt{3} cosec140^{0} - sec140^{0} = 4\\

<u>Proof:</u>

From trigonometry identity;

cosec \theta = \frac{1}{sin\theta} \\sec\theta = \frac{1}{cos\theta}

\sqrt{3} cosec140^{0} - sec140^{0} \\= \frac{\sqrt{3} }{sin140} - \frac{1}{cos140} \\= \frac{\sqrt{3}cos140-sin140 }{sin140cos140} \\

From trigonometry, 2sinAcosA = Sin2A

= \frac{\sqrt{3}cos140-sin140 }{sin140cos140} \\\\=  \frac{\sqrt{3}cos140-sin140 }{sin280/2}\\=  \frac{4(\sqrt{3}/2cos140-1/2sin140) }{2sin280}\\\\= \frac{4(\sqrt{3}/2cos140-1/2sin140) }{sin280}\\since sin420 = \sqrt{3}/2 \ and \ cos420 = 1/2  \\ then\\\frac{4(sin420cos140-cos420sin140) }{sin280}

Also note that sin(B-C) = sinBcosC - cosBsinC

sin420cos140 - cos420sin140 = sin(420-140)

The resulting equation becomes;

\frac{4(sin(420-140)) }{sin280}

= \frac{4sin280}{sin280}\\ = 4 \ Proved!

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3 years ago
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Computer drawing program
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Question 11-(3 marks available)
klasskru [66]

Answer: 1080 cm^{2}

Determine the values of b1, b2, and b3, the sides of the triangular base. Also determine the value of h, the height of the triangular base and l, the length of the prism (the length between the bases).

The sides of the triangular base are:

b1 = 13 in.

b2 = 14 in.

b3 = 15 in.

The triangular base is a right triangle, and so the height is one of our sides. We will use

h = 12 in.

The length of the prism is

l = 20 in.

total surface area = bh + (b1+b2+b3)*l

bh = 12*20 = 240 cm^{2}

l * (b1+b2+b3) = 20*(13 + 14+ 15) = 840 cm^{2}

TSA = bh + l * (b1 + b2 + b3) = 240 + 840 = 1080 cm^{2}

to know more about prism,

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1 year ago
WILL GIVE 50 POINTS AND BRAINLIEST FOR BEST ANSWER
vampirchik [111]

Answer:

(x, x2 − 3x − 28) for all real numbers

Step-by-step explanation:

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