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myrzilka [38]
2 years ago
14

Translate each inequality. ¨a minimum of 10¨

Mathematics
1 answer:
Alexandra [31]2 years ago
5 0

Answer:

X ≥ 10

Step-by-step explanation:

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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!

3 0
3 years ago
The rapper NFL Oldgeezer has released some details about one of his upcoming albums. He states that the album is 39 minutes long
MissTica

Answer:

13 songs

Step-by-step explanation:

If you divide the 39 minutes by the 3 minutes you will find how many songs are on the album.

39/3 = 13

So, there are approximately 13 songs on the album.

<em>I hope this helps!!</em>

<em>- Kay :)</em>

5 0
3 years ago
What is the range of f(x) = ( 3/4 ) x - 4?
worty [1.4K]

it's B

I just took the test

7 0
2 years ago
Find the coordinates of the point P that divides the directed line segment from A to B in the given ratio. A (-5, 12) B (11, 0)
zhenek [66]

Answer:

(7, 3)

Step-by-step explanation:

Using the midpoint formula

M(X, Y) = {(ax1+bx2/a+b), ay1+by2/a+b}

X = ax1+bx2/a+b

X = -5(1)+3(11)/1+3

X = -5+33/4

X = 28/4

X = 7

Y = ay1+by2/a+b

Y = 1(12)+3(0)/1+3

Y = 12/4

Y = 3

Hence the coordinate of P is at (7, 3)

7 0
2 years ago
WHO KNOWS THIS? I NEED HELP PLS
NeX [460]

Answer:

sorry i do not know

Step-by-step explanation:

6 0
3 years ago
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