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Murrr4er [49]
3 years ago
11

Find the length of KB¯¯¯¯¯¯¯¯+AK¯¯¯¯¯¯¯¯. A. 28 B. 33 C. 21 D. 35

Mathematics
1 answer:
Usimov [2.4K]3 years ago
8 0

Intersecting chord rule:

DK x KB = AK x CK

12 x 4x+1 = 14 x 3+3x

Simplify:

48x +12 = 42x +42

Subtract 12 from each side:

48x = 42x + 30

Subtract 42x from each side:

6x = 30

Divide both sides by 6:

x = 5

Now find the length of KB: 4x +1 = 4(5) +1 = 20 +1 = 21

Now add KB and AK:

21 + 14 = 35

The answer is D. 35

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Find the critical value t for the confidence level c= 0.98 and sample size n=7.
kenny6666 [7]

Answer:

The critical value is T = 3.143.

Step-by-step explanation:

The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So

df = 7 - 1 = 6

98% confidence interval

Now, we have to find a value of T, which is found looking at the t table, with 6 degrees of freedom(y-axis) and a confidence level of 1 - \frac{1 - 0.98}{2} = 0.99. So we have T = 3.143.

The critical value is T = 3.143.

8 0
3 years ago
What is the scale factor?
sasho [114]

Answer:

the scale factor is 2, but x is 11

Step-by-step explanation:


8 0
3 years ago
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The angle of elevation to the top of a 15-story skyscraper is measured to be 4from a point on the ground 2,500 feet from the bui
alexandr1967 [171]

The point of observation is 2500 m away from the foot of the building.

The angle of elevation is 4°.

We need to find the height 'h' of the building.

With respect to 4°,

2500 is the adjacent side.

'h' is the opposite side.

The trigonometric ratio associating opposite & adjacent is tan.

We have

tan\theta =\frac{opposite}{adjacent}

tan4^{o}=\frac{h}{2500}

Cross multiplying we get

h = 2500 tan4°

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Option B) is the right answer.


3 0
3 years ago
If f(1) = 160 and f(n + 1) = –2f(n), what is f(4)?
lions [1.4K]

Answer:

-1280

Step-by-step explanation:

There are 2 ways you could do this. You could just do the question until you come to the end of f(4). That is likely the simplest way to do it.

f(1) = 160

f(2) = - 2 * f(1)

f(2) = -2*160

f(2) = -320

f(3) = -2 * f(2)

f(3) = -2 * - 320

f(3) = 640

f(4) = - 2 * f(3)

f(4) = - 2 * 640

f(4) = - 1280

I don't know that you could do this explicitly with any real confidence.

5 0
2 years ago
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jolli1 [7]

Answer:

1. x = 30

REC = 130

Step-by-step explanation:

2x + 70 = 4x + 10

60 = 2x

x = 30

you try the others

Good luck :D

5 0
2 years ago
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