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kondor19780726 [428]
3 years ago
9

In circle with a 12-inch radius , find the length of a segment joining the midpoint of 20-inch chord and the center of the circl

e
Mathematics
1 answer:
Leno4ka [110]3 years ago
7 0
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Find half the length of the chord (from midpoint to the end point touching the circumference)
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20 ÷ 2 = 10 inches

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Formula
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a² + b² = c²

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Find the length of the segment
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10² + b² = 12²
b² = 12² - 10²
b² = 144 - 100
b² = 44
b = √44
b = 6.63 inches

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Answer: The length of the segment is 6.63 inches
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Svetllana [295]

Answer:

a and b are positive

Step-by-step explanation:

We are given that

a-3>b-3

b>4

We have to find that a and b are positive or negative.

We have

b>4

It means b is positive and greater than 4.

a-3>b-3

Adding 3 on both sides

a-3+3>b-3+3

a>b>4

\implies a>4

Hence, a is positive and greater than 4.

Therefore, a and b are positive

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2 years ago
Find the sum of the arithmetic sequence 1, 3, 5, 7, … , 99.
bezimeni [28]

The sum of the arithmetic sequence 1, 3, 5, 7, … , 99 is 2525

<h3>What is Sequence?</h3>

Sequence is an enumerated collection of objects in which repetitions are allowed and order matters.

Given sequence is 1, 3, 5, 7, … , 99.

It is a arithmetic sequence, the difference between two consecutive terms will be same

d=3-1=2

first term a=1

l=last term =99

We need to find 99 is which term in the sequence

Aₙ = a + ( n - 1 ) d

99=1+(n-1)2

99=1+2n-2

99=2n-1

100=2n

Divide both sides by 2

50=n

Now we need to find the sum of 50 terms

Sₙ=n/2(l+d)

=50/2(99+2)

=25(101)

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Hence, the sum of the arithmetic sequence 1, 3, 5, 7, … , 99 is 2525

To learn more on Sequence click:

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1 year ago
Water has a density of 1.0 g/cm3. What is the mass of 10.0 cm3 of water?
fgiga [73]
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The easiest method to use is the rule of three, and let x be the mass of 10.0 cm3 of water
1g -- > 1.0 cm3
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x= (10*1)/1
x=10.0 g

So the mass of 10.0 cm3 of water is 10.0g

Hope this Helps! :)
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3 years ago
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In the diagram below, which pair of angles is complementary?
Nataly_w [17]

Answer:

/2 and /4 because angle 1 is 90

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2 years ago
What expression simplifies to 2i ? help asap lots of points
PilotLPTM [1.2K]

Answer:

Step-by-step explanation:

First, consider the following expression.

(6x + 8) + (4x + 2)

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