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melamori03 [73]
3 years ago
13

A cereal box has dimensions of 2 in., 5 1/3 in., 10 3/4 in.

Mathematics
1 answer:
Misha Larkins [42]3 years ago
4 0
As the cereal box would be a rectangular prism, you would need to multiply the length, the width, and the height together to find the volume of the box. By multiplying (2*5.33*10.75) I got the answer (114.595 or 114.6). So 114.6 would be the answer for A, with the (2*5.33*10.75) being the work you are showing. In order to see how much volume a single serving takes up, you would take the 114.6 and divide it by 8, so you would have (114.6/8). When dividing 114.6 by 8, you would get the answer (14.325 or 14.3). The answer to B would be 14.3, with the (114.6/8) being the work that you are showing. 
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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

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

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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

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\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

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Answer:

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Correct by the way ofc
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