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Vera_Pavlovna [14]
3 years ago
12

Which common denominator can be used to add each pair of fractions? Match each pair of fractions to the common denominator that

can be used.

Mathematics
2 answers:
Charra [1.4K]3 years ago
6 0

Answer + Explanation

You look at the two denominators of the fractions and find the least common multiple of both of them.

1. the LCM of 2 and 5 is 10

2. the LCM of 3 and 5 is 15

3. the LCM of 4 and 6 is 12

4. the LCM of 6 and 9 is 18

erastova [34]3 years ago
6 0

Answer :

I don’t know

Step-by-step explanation: the answer is

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5 squared is 5x5. And 2 cubed is 2x2x2. So, the answer would be 200.
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What is the solution for -10 < x - 9?
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Answer:

-1 < x

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-10 < x - 9

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3 years ago
1)a chord of length 18cm midway the radius of a circle. calculate the radius of the circle correct to 1d.p. 2)if two parallel ch
kykrilka [37]
Part 1:

Given that the length of the chord is 18 cm and the chord is midway the radius of the circle. 

Thus, half the angle formed by the chord at the centre of the circle is given by:

\cos\theta=\frac{\left( \frac{1}{2} r\right)}{r}= \frac{1}{2}  \\  \\ \Rightarrow\theta=\cos^{-1}\left( \frac{1}{2} \right)=60^o

Now, 

\sin60^o= \frac{9}{r}  \\  \\ \Rightarrow r= \frac{9}{\sin60^o} =10.392

Therefore, the radius of the circle is 10.4 cm to 1 d.p.


Part 2I:

Given that the radius of the circle is 10 cm and the length of chord AB is 8 cm. Thus, half the length of the chord is 4cm. Let the distance of the mid-point O to /AB/ be x and half the angle formed by the chord at the centre of the circle be θ, then

\sin\theta= \frac{4}{10} = \frac{2}{5} \\ \\ \theta=\sin^{-1}\left( \frac{2}{5} \right)=23.6^o

Now, 

\cos23.6^o= \frac{x}{10} \\ \\ \Rightarrow x=10\cos23.6^o=9.165\approx9.2cm


Part 2II:

Given that the radius of the circle is 10cm and the angle distended is 80 degrees. Let half the length of chord CD be y, then:

\sin40^o= \frac{y}{10}  \\  \\  \\ \Rightarrow y=10\sin40^o=6.428

Thus, the length of chord CD = 2(6.428) = 12.856 which is approximately 12.9 cm.
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I think this is how you do it...

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3.4
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8.54

If we round the answer
We get 8.5

Guess I gave you the correct answer
7 0
2 years ago
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