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mel-nik [20]
2 years ago
10

In a circle, a chord of 50 cm bisects a chord of 40 cm. Find the length of the longer segment of the 50 cm chord.

Mathematics
1 answer:
Andreyy892 years ago
8 0

Answer:

<u>The length of the longer segment of the 50 cm chord = 40</u>

Step-by-step explanation:

let the length of the longer segment of the 50 cm chord = x

so, the other segment = 50 - x

A chord of 50 cm bisects a chord of 40 cm

using the Intersecting Chords Theorem

so, x(50-x) = 20 * 20

50x - x² = 400

x² - 50x + 400 = 0

(x - 40)(x - 10) = 0

x = 40 or x = 10

<u>So, the the length of the longer segment of the 50 cm chord = 40</u>

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Answer:

B) 23

Step-by-step explanation:

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We look for the number of people who are in algebra and no physics or physics and no algebra.

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2 years ago
A yellow jacket can fly 4.5 meters in 9 seconds.find the unit rate in meters per second
snow_lady [41]
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6 0
2 years ago
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Apply the distributive property to factor out the greatest common factor 16g+20h
UkoKoshka [18]

Answer:

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Step-by-step explanation:

Factor out the 4.

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2 years ago
there are two identical fridges for desserts. one of the fridge has 5/8 of its room left and the other fridge is only 1/8 full.
ELEN [110]

Answer:

1.5

Step-by-step explanation:

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A study of immunizations among school‑age children in California found that some areas had rates of unvaccinated school‑age chil
Rom4ik [11]

Answer:

Probability that none of the 20 children in such a classroom would be unvaccinated is 0.055.

Step-by-step explanation:

We are given that a classroom of 20 children in one such area where 13.5% of children are unvaccinated.

If there are no siblings in the classroom, we are willing to consider the vaccination status of the 2020 unrelated children to be independent.

The above situation can be represented through binomial distribution;

P(X=r) = \binom{n}{r} \times p^{r} \times (1-p)^{n-r} ; x = 0,1,2,3,......

where, n = number of trials (samples) taken = 20 children

            r = number of success = none of the 20 children

            p = probability of success which in our case is probability that

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<u><em>Let X = Number of children that are unvaccinated</em></u>

So, X ~ Binom(n = 20, p = 0.135)

Now, Probability that none of the 20 children in such a classroom would be unvaccinated is given by = P(X = 0)

           P(X = 0)  =  \binom{20}{0} \times 0.135^{0} \times (1-0.135)^{20-0}

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                          =  0.055

<em>Hence, the probability that none of the 20 children in such a classroom would be unvaccinated is 0.055.</em>

8 0
2 years ago
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