All categories

3 years ago

Given: Circle k(O), O∈

Mathematics

2 answers:

Liula [17]3 years ago

5 0

I already did this question once so I'm just gonna include the answer

Misha Larkins [42]3 years ago

5 0

Answer: The value of KP = 12 units.

Step-by-step explanation:

Since we have given that

KE is a tangent with KE = 18

KPL is a secant with PL = 15

Let KP = x

Since we know that The product of segments of secants is square of the tangents.

Mathematically, it is expressed as ,

$KE^2=KP.KL\\\\18^2=x(x+15)\\\\324=x^2+15x\\\\x^2+15x-324=0\\\\x^2+27x-12x-324=0\\\\x(x+27)-12(x+27)=0\\\\(x+27)(x-12)=0\\\\x=-27,x=12$

Measure of secant can't be negative.

So, KP = 12

You might be interested in

What proportion of US women have a height greater than 69.5 inches?

kiruha [24]

Using the Normal distribution, it is found that 0.0359 = 3.59% of US women have a height greater than 69.5 inches.

In a <em>normal distribution</em> with mean $\mu$ and standard deviation $\sigma$ , the z-score of a measure X is given by:

$Z = \frac{X - \mu}{\sigma}$

It measures how many standard deviations the measure is from the mean.

After finding the z-score, we look at the z-score table and find the p-value associated with this z-score, which is the percentile of X.

US women’s heights are normally distributed with mean 65 inches and standard deviation 2.5 inches, hence $\mu = 65, \sigma = 2.5$ .

The proportion of US women that have a height greater than 69.5 inches is <u>1 subtracted by the p-value of Z when X = 69.5</u>, hence:

$Z = \frac{X - \mu}{\sigma}$

$Z = \frac{69.5 - 65}{2.5}$

$Z = 1.8$

$Z = 1.8$ has a p-value of 0.9641.

1 - 0.9641 = 0.0359

0.0359 = 3.59% of US women have a height greater than 69.5 inches.

You can learn more about the Normal distribution at brainly.com/question/24663213

3 0

3 years ago

Howard downloaded 6 more songs Latham Erin. Lee downloaded 3 more than Howard. Lee downloaded 16 songs. How many songs did Erin

diamong [38]

If Lee downloaded 3 more songs than Howard (16 total songs), that means that Howard downloaded 13 songs (total). If Howard downloaded 13 songs, he downloaded 6 more than Erin. Therefore, you would subtract 6 from 13 to get 7.

Answer: Erin downloaded 7 songs

7 0

4 years ago

Read 2 more answers

Jim sells used drones for 70% of the original manufacturer's purchase price of a new drone. Jim also sells new drones for 15% mo

adell [148]

The function for the amount saved if they purchase a used drone rather than a new drone from Jim's store is f(x) = 0.45x

He sells used drones at 70% of the price (x).

So, the selling price of a used drone is:

$\mathbf{Used = 70\% \times x}$