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2 years ago

Helen rolls a dice and flips a coin. calculate the probability

Mathematics

2 answers:

Yakvenalex [24]2 years ago

8 0

Answer:

Dice roll = 1/6

Coin flip = 1/2

butalik [34]2 years ago

4 0

Answer:

1/12

Step-by-step explanation:

dice rolling=1/6

coin flipping=1/2

Hence probability=1/6×1/2

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Root 3 cosec140° - sec140°=4 prove that

Lorico [155]

Answer:

Step-by-step explanation:

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

Proof:

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

PLEASE HELP QUICK 10 POINTS AND I GIVE BRAINLEIST!!! what is the GCF of 110 and 132

sleet_krkn [62]

Answer: 22 because 2x 11 = 22

Hope I helped

Pls give me brainlist.

Step-by-step explanation:

4 0

2 years ago

What is the 9th term in the sequence 2, -6, 18, -54, ...?

gregori [183]

Your answer would be 13,122

You would multiply by -3 each time for this particular sequence.

Hope I helped!

6 0

3 years ago

Solve for x, please solve ASAP!! Due today!

Shkiper50 [21]

2(2x-3) = x + 9

X = 5

7 0

3 years ago

Solve the system. x+3y=1 -2x+7=-23

Viefleur [7K]

X+ 3y = 1 -----(first equation)
-2x+7 = -23 ---(second equation)
-2x = -23-7
x = 30/2
x = 15

Now, Substitute the value of x in first equation,
15 + 3y = 1
3y = 1 - 15
y = -14/3

In short, Final Answers are: x = 15 & y = -14/3

Hope this helps!

5 0

3 years ago