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irina1246 [14]
2 years ago
6

What is the length of the longer of the two chords shown? Length of longer chord= ? units

Mathematics
2 answers:
vesna_86 [32]2 years ago
8 0

Answer:

 Length of the chord= 19units

Step-by-step explanation:

It is given from the figure that there is a circle with center C and two chords are intersecting each other, and we know that when two chords of the circle intersect each other then the product of their segments are equal, thus

4(x+3)=12(x-7)

4x+12=12x-84

12+84=12x-4x

96=8x

x=12

Thus, the value of the chords are:

4+x+3=4+12+3=19 and 12+x-7=12+12-7=17

Thus, the length of the larger chord is 4+x+3=4+12+3=19 .

sammy [17]2 years ago
7 0
19 just did this assignment on e2020
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John Birks "Dizzy" Gillespie (1917-1993) was a trumpeter and was extremely influential in the development of bebop. Also an acco
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Answer:

  • <em><u>"Ambassador of Jazz"</u></em>

Explanation:

<em>John Birks "Dizzy" Gillespie</em> (1917 – 1993) is recognized as an extraordinary trumpet player who had tremendous influence in the modern jazz and the development of the new music style called bebop.

<em>Bebop</em> required instrumental virtuosity and creativity to improvise as it involves fast tempo, and numerous of rapid changes of chords and keys. Personal characteristics that Gillispie had in excess.

As you can find in the internet, the nickname of "Ambassador of Jazz" was given to him in 1956, during a State Department tour of the Middle East that he succesfully organized.

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2 years ago
Paul opened a bakery. The net value of the bakery (in
Umnica [9.8K]

Answer:

1) 2(t - 7)(t + 1)

2) $32,000

Step-by-step explanation:

v(t) = 2t² - 12t - 14

v(t) = 2(t² - 6t - 7) = 2(t - 7)(t + 1)

x = -b/2a = 6/2 = 3

y = 2(3)² - 12(3) - 14 = -32

(3, -32) means at 3 months, -32 thousand dollars

7 0
2 years ago
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Mark wants to use a grid like the ones in exercise 1 and 2 to model the percent equialent of the fraction 2/3. how many grid squ
artcher [175]
The fraction is 2/3
So, there should be 100 squares.
Next, the 100 squares is divided into 3 by vertical lines. The lines will not coincide with the sides of the squares. This is okay. Next, the 2 out of 3 will be shaded, this will be equivalent to 66 squares and one more square but it will not be filled up completely. In percent form, the fraction is 66.67%.
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2 years ago
Factorise : 16x^2 +72xy + 81y^2 -12x +27y
never [62]
Hello!!

It will be the same since there is no common factor. You just need to arrange in order. 

6x^2 + 72xy - 12x + 81y^2 + 27y

Good luck :)
5 0
2 years ago
In a large population, 82% of the households have cable tv. A simple random sample of 225 households is to be contacted and the
anzhelika [568]

Answer:

The mean of the sampling distribution of the sample proportions is 0.82 and the standard deviation is 0.0256.

Step-by-step explanation:

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean \mu and standard deviation \sigma, the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean \mu and standard deviation s = \frac{\sigma}{\sqrt{n}}.

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

For proportions, the mean is \mu = p and the standard deviation is s = \sqrt{\frac{p(1-p)}{n}}

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p = 0.82, n = 225.

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\mu = 0.82

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The mean of the sampling distribution of the sample proportions is 0.82 and the standard deviation is 0.0256.

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2 years ago
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