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1 year ago

A planet has a circular orbit around a star. It is a distance of 81,000,000 km from the centre of the star. It orbits at an aver

age speed of 46,000 km/h. How many Earth days does it take the planet to orbit the star? Give your answer to 2 sf.

Mathematics

1 answer:

slava [35]1 year ago

5 0

$81,000,000 \text{ km} \left(\frac{1 \text{ h}}{46,000 \text{ km}} \right) =\frac{40500}{23} \text{ h} \\ \\ \frac{40500}{23} \text{ h} \left(\frac{1 \text{ days}}{24 \text{ hours}} \right) \approx \boxed{73 \text{ days}}$

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2 years ago

The first side of a triangle is 3 inches shorter than the second side, and 2 inches longer than the third side. How long is each

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Answer:

the length of the first side of the triangle is $\frac{28}{3}\ in$

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Step-by-step explanation:

Let

x-----> the length of the first side of a triangle

y----> the length of the second side of a triangle

z---> the length of the third side of a triangle

we know that

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substitute equation A and equation B in equation C

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solve for x

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the first side of a triangle is x

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the second side of a triangle is y

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3 years ago

Your father is planning to cook for 35 people using a recipe that specifies two and a half cups of sugar for each six people,

almond37 [142]

Your father will require 14.6 cups of sugar for the larger group

<h3>Ratio and proportions</h3>

From the question, we have that 2.5 cups of sugar can be used to make recipes for 6 people that is;

6 people = 2.5 cups of sugar

In order to calculate for 35 people, we will have;

35 people = x

Taking the ratio of the expressions

6/35 = 2.5/x

6x = 87.5

x = 87.5/6

x = 14.6

Hence your father will require 14.6 cups of sugar for the larger group

Learn more on ratio and proportions here: brainly.com/question/19994681

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