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dolphi86 [110]
1 year ago
6

Divya (height 53 cm) and Surjeet ( 58 cm ) are standing in a ground .If distance between their toes is 12 cm ,what is the distan

ce between their heads ?
Mathematics
1 answer:
Morgarella [4.7K]1 year ago
8 0

Answer:

The answer would be 17 cm

Step-by-step explanation:

If the distance between their feet is 12 cm, then the distance between their heads would also be 17 cm, because of their five cm height difference. [ You add that on to their normal distance]. I hope this helped! If I'm wrong, I'm sorry and please let me know... Have a great day!!

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Write the following numbers in order of size.
choli [55]

Answer:

0.02, 0.152, 0.2 0.37, 0.4

Step-by-step explanation:

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Two sides of a triangle have lengths 12 m and 14 m. The angle between them is increasing at a rate of 2°/min. How fast is the le
Dvinal [7]

Answer:

1.692 m/min

Step-by-step explanation:

Let \theta be the angle between the two sides and x be the length of the third side. By cosine rule,

x^2 = 12^2+14^2-2\times12\times14\cos\theta = 340 - 336\cos\theta

x= \sqrt{340 - 336\cos\theta}

We differentiate x with respect to \theta by applying chain rule.

\dfrac{dx}{d\theta} = \dfrac{336\sin\theta}{2\sqrt{340 - 336\cos\theta}} = \dfrac{168\sin\theta}{\sqrt{340 - 336\cos\theta}}

Rate of change of \theta is 2

\dfrac{\theta}{dt} = 2

Rate of change of x is

\dfrac{dx}{dt} = \dfrac{dx}{d\theta}\times\dfrac{d\theta}{dt}

\dfrac{dx}{dt} = \dfrac{168\sin\theta}{\sqrt{340 - 336\cos\theta}} \times2=\dfrac{336\sin\theta}{\sqrt{340 - 336\cos\theta}}

At 60°,

\dfrac{dx}{dt} = \dfrac{336\sin60}{\sqrt{340 - 336\cos60}} = 1.692 \text{ m/min}

4 0
1 year ago
A rectangular container can hold 45 candles, while a cylindrical container holds 41 candles. Each rectangular container costs th
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Answer: Rectangular container is preferred to minimize the costs and  there are 142 rectangular container is needed to pack 6400 candles.

Explanation:

Since we have given that

Number of candles in a rectangular container = 45

Number of candles in a cylindrical container = 41

Cost of each rectangular container = $15

Cost of each cylinder container = $16

That means ,

In case of rectangular container,

Cost of 45 candles = $15

Cost of 1 candle is given by

\frac{15}{45}=\frac{1}{3}=\$0.33

Similarly,

In case of cylindrical container,

Cost of 41 candles = $16

Cost of 1 candle is given by

\frac{16}{41}=\$0.39

So, if the company needs to package 6,400 candles , it should use <u>rectangular containers </u>to minimize costs.

Number of candle he need to pack = 6400

Number of rectangular container for 6400 candles is given by

\frac{6400}{45}=142.2=142\ approximately.

Hence, there are 142 rectangular container is needed to pack 6400 candles.


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2 years ago
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Kevin drew a triangle with angle measures of 30 degrees and 40 degrees and side measures of 5 cm, 7cm, and 8 cm. Explain, using
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He drew a scalene triangle
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Step-by-step explanation:

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the coordinates are the intersection of the tangent with the circle

They are (-0.162, 0.987) and (0.462,-0.887)

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2 years ago
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