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galina1969 [7]
1 year ago
14

Given the circle below secant kjI and tangent hi find the length of hi round to the nearest tenth if necessary.

Mathematics
1 answer:
garik1379 [7]1 year ago
3 0

The length of the segment HI in the figure is 32.9

<h3>How to determine the length HI?</h3>

To do this, we make use of the following secant-tangent equation:

HI² = KI * JI

From the figure, we have:

KI = 21 + 24 = 45

JI = 24

So, we have:

HI² = 45 * 24

Evaluate the product

HI² = 1080

Take the square root of both sides

HI = 32.9

Hence, the length of the segment HI is 32.9

Read more about secant and tangent lines at:

brainly.com/question/14962681

#SPJ1

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a six sided die is rolled 4 times in a row. What is the probability of getting 4 only on the last trial of this experiment?
hoa [83]
First, start of by saying what the probability of getting a 4 is, which is 1/6.
Now, this means the probability of not getting a 4 is 1-(1/6)=(5/6), since the total probability is 1.

After doing this, you should think about what it means to only get 4 on the last trial, the 4th trial.  It means that the probabilities of the 1st, 2nd, and 3rd trial were (5/6) each.  The 4th trial had a probability of (1/6).  So the probability would be calculated as following: ((5/6)^3*(1/6)=5^3/6^4.  You can use a calculator or your computer to find out that the probability is 125/1296.  

I hope this was helpful!
5 0
2 years ago
As...<br> Which of the following geometric series diverges?
Volgvan

Answer:

II and II only.

Step-by-step explanation:

The first series converges because the common ratio r is 0.8 (<1).

II diverges as |r| > 1.

III is an alternating series with r = -4 - that is |r| = 4 so it diverges.

7 0
3 years ago
In ABC, centroid D is on median AM. AD = x + 5 and DM = 3x – 5. Find AM
Sindrei [870]

Answer

Find out the value of AM.

To prove

As given

In ABC,

centroid D is on median AM.

AD = x + 5 and DM = 3x – 5.

By using the centroid property

The centroid divides each median in a ratio of 2:1.

Thus D divide the median AM  in a ratio of 2:1.

Therefore

(AD) = 2DM

(x + 5) = 6x – 10

5x = 15

x = \frac{15}{5}

x = 3

Now

AM = 3+ 5

     = 8 unit

DM = 3 × 3- 5

      = 4 unit

AM = AD + DM

      = 8 + 4

AM   = 12 unit

Therefore the AM is 12 unit.



4 0
3 years ago
Read 2 more answers
Is this right? Please help me
Alecsey [184]
A. 30% is the correct. .30 is 30%
3 0
3 years ago
Solve for x. -2x=-2x-5
ch4aika [34]

Answer:

no solution

Step-by-step explanation:

-2x are cancel out with each other

7 0
3 years ago
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