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PtichkaEL [24]
4 years ago
15

Can someone help me with question 15 plsss

Mathematics
1 answer:
strojnjashka [21]4 years ago
6 0

The errors are ...

... The box ends and the minimum are in the wrong places.

_____

The data sorted in order is 1, 6, 26, 27, 30, 31, 33, 34, 59.

The minimum is 1, not 0.

The first quartile is the average of 6 and 26, which is 16, not 10.

The median is 30, as shown.

The third quartile is the average of 33 and 34, which is 33.5, not 35.

The maximum is 59, as shown.

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Prove that (sec 12A-1)/(sec 6A-1)=tan 12A/tan 3A
adelina 88 [10]

Let x=3A. Recall the following identities,

\cos^2\theta=\dfrac{1+\cos2\theta}2

\sin^2\theta=\dfrac{1-\cos2\theta}2

\sin2\theta=2\sin\theta\cos\theta

Now,

\dfrac{\sec12A-1}{\sec6A-1}=\dfrac{\sec4x-1}{\sec2x-1}

=\dfrac{\cos2x(1-\cos4x)}{\cos4x(1-\cos2x)}

=\dfrac{2\cos2x\sin^22x}{\cos4x(1-\cos2x)}

=\dfrac{2\cos2x\sin^22x(1+\cos2x)}{\cos4x(1-\cos^22x)}=\dfrac{2\cos2x\sin^22x(1+\cos2x)}{\cos4x\sin^22x}=\dfrac{2\cos2x(1+\cos2x)}{\cos4x}

=\dfrac{4\cos2x\cos^2x}{\cos4x}

=\dfrac{4\cos2x\cos^2x\sin4x}{\cos4x\sin4x}=\dfrac{4\cos2x\cos^2x\tan4x}{\sin4x}

=\dfrac{4\cos2x\cos^2x\tan4x}{2\sin2x\cos2x}=\dfrac{2\cos^2x\tan4x}{\sin2x}

=\dfrac{2\cos^2x\tan4x}{2\sin x\cos x}=\dfrac{\cos x\tan4x}{\sin x}

=\dfrac{\tan4x}{\frac{\sin x}{\cos x}}=\dfrac{\tan4x}{\tan x}=\dfrac{\tan12A}{\tan3A}

QED

5 0
4 years ago
Can you help me with this problem.
antoniya [11.8K]
I think it’s -1/20

= -7/20 + -1/20

= -8/20

You divide the denominator by 4 to get 5 since 4 x 5 = 20.

The unknown numerator has to be divided by 4 to get 2. Therefore, 8 divided by 4 is 2.

And the sign will stay the same because they are the same and it’s addition.

-7/20 + -1/20 = -8/20 = -2/5

4 0
4 years ago
Select all measurements that show equivalent volume to the rectangular prism
Lyrx [107]

Answer:

400 is the answer to the botom and a b c and d

Step-by-step explanation:

3 0
3 years ago
Bailey and Elena compete in a swim race.Their times are shown
Setler [38]

Answer: Bailey won the race by about 4 seconds.

Step-by-step explanation:

The whole second is the first number to the left of the decimal (_.)

So, 35.78 = 36 because 7>5.

39.51 = 40 because 5 = 5.

40 - 36 = 4.

8 0
2 years ago
What is the y-intercept of the line that represents y = -4x+12
lukranit [14]

Answer:

12

Step-by-step explanation:

because 12 is where the line intercepts the y-axis

5 0
4 years ago
Read 2 more answers
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