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trapecia [35]
3 years ago
11

Which probability is correct? P(AB) = 1/2 P(BA) = 7/25 P(AC) = 6/23 P(CA) = 13/17

Mathematics
2 answers:
BartSMP [9]3 years ago
5 0
I believe it is 1/2
Anika [276]3 years ago
4 0
I feel like it would be 1/2
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Help! How would I solve this trig identity?
NeTakaya

Using simpler trigonometric identities, the given identity was proven below.

<h3>How to solve the trigonometric identity?</h3>

Remember that:

sec(x) = \frac{1}{cos(x)} \\\\tan(x) = \frac{sin(x)}{cos(x)}

Then the identity can be rewritten as:

sec^4(x) - sen^2(x) = tan^4(x) + tan^2(x)\\\\\frac{1}{cos^4(x)} - \frac{1}{cos^2(x)}  = \frac{sin^4(x)}{cos^4(x)}  + \frac{sin^2(x)}{cos^2(x)} \\\\

Now we can multiply both sides by cos⁴(x) to get:

\frac{1}{cos^4(x)} - \frac{1}{cos^2(x)}  = \frac{sin^4(x)}{cos^4(x)}  + \frac{sin^2(x)}{cos^2(x)} \\\\\\\\cos^4(x)*(\frac{1}{cos^4(x)} - \frac{1}{cos^2(x)}) = cos^4(x)*( \frac{sin^4(x)}{cos^4(x)}  + \frac{sin^2(x)}{cos^2(x)})\\\\1 - cos^2(x) = sin^4(x) + cos^2(x)*sin^2(x)\\\\1 - cos^2(x) = sin^2(x)*sin^2(x) + cos^2(x)*sin^2(x)

Now we can use the identity:

sin²(x) + cos²(x) = 1

1 - cos^2(x) = sin^2(x)*(sin^2(x) + cos^2(x)) = sin^2(x)\\\\1 = sin^2(x) + cos^2(x) = 1

Thus, the identity was proven.

If you want to learn more about trigonometric identities:

brainly.com/question/7331447

#SPJ1

7 0
2 years ago
A traditional, physical bank with online options is a type of online bank.
Dafna1 [17]

Answer:

True

Step-by-step explanation:

It is still a traditional bank. The online option is there for your convenience, but doesn't make the bank all online. Hope this helped!

6 0
3 years ago
0.075, 0.75%, 3/ 4 least to greatest
vodka [1.7K]
3/4, 0.075, 0.75%. Best of luck!
3 0
3 years ago
Read 2 more answers
Which proportion could be used to find the length of side b?​
Goshia [24]

Answer:

B

Step-by-step explanation:

Using the Sine Rule in ΔABC

\frac{a}{sinA} = \frac{b}{sinB} = \frac{c}{sinC}

∠C = 180° - (82 + 58)° = 180° - 140° = 40°

Completing values in the above formula gives

\frac{a}{sin58} = \frac{b}{sin82} = \frac{8.4}{sin40}

We require a pair of ratios which contain b and 3 known quantities, that is

\frac{b}{sin82} = \frac{8.4}{sin40}

OR

\frac{sin40}{8.4} = \frac{sin82}{b} → B

8 0
3 years ago
Read 2 more answers
Any sort of help is appreciated, ty
Semenov [28]
The answer would be 1952 because the display of flag makes a right triangle so we will use Pythagorean theorem in order to find the sides and the sides total is 244 according to theorem, so we multiply by 8 to get the 8 flag display.  <span />
8 0
4 years ago
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