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Inessa05 [86]
3 years ago
7

1.

Mathematics
1 answer:
Simora [160]3 years ago
3 0

Answer:

x = 2

Step-by-step explanation:

Given 2 intersecting chords, then the product of the parts of one chord is equal to the product of the parts of the other chord, that is

EB × AE = ED × CE

x(x + 1) = 3 × 2 = 6

x² + x = 6 ( subtract 6 from both sides )

x² + x - 6 = 0 ← in standard form

(x + 3)(x - 2) = 0 ← in factored form

Equate each factor to zero and solve for x

x + 3 = 0 ⇒ x = - 3

x - 2 = 0 ⇒ x = 2

But x > 0 , then x = 2

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Vlad [161]
First you need to divide 800,800 by 300,300 because you need to know how these two amounts are related, in order to know how the amounts of pounds you are converting are related.
800,800÷300,300= 2.66666.... (recurring)
If $300,300 goes into $800,800 2.66666 times, then the amount of pounds you want to find goes into £560,560 2.66666 times as well. Let's write this as an equation to solve for x (where x is the amount of pounds you will obtain for $560,560):
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7 0
3 years ago
The distribution of the number of hours people spend at work per day is unimodal and symmetric with a mean of 8 hours and a stan
Wewaii [24]

Answer: 95% of all people work between 7 hours and 9 hours per day and It is true.

Step-by-step explanation:

Since we have given that

Mean = 8 hours

Standard deviation = 0.5 hours

According to Empirical Rule,

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so, lower value is given by

mean-2\times sd\\\\=8-2\times 0.5\\\\\=8-1\\\\=7\ hours

upper value is given by

mean+2\times s.d\\\\=8+2\times 0.5\\\\=8+1\\\\=9\ hours

Hence, 95% of all people work between 7 hours and 9 hours per day.

Therefore , it is true.

4 0
3 years ago
A scientist wanted to measure the constant rate of the current in a particular section of the river. She released a tracker into
alukav5142 [94]

Answer:

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Step-by-step explanation:

The rate of change is defined as the change in distance divided by the change in time

Rate = ∆distance/∆time

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When we put this into the formula above, we have:

Rate of change = 16.5 - 5.5 / 10.9 - 3.5

= 11/7.4

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8 0
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20 to 30 is a 10% increase
7 0
3 years ago
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Applying Math
Feliz [49]
The answer is because 3 squared =9
7 0
3 years ago
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