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tankabanditka [31]
3 years ago
13

The population of the United States was about 280 million in 2000 and about 310 million in 2010. What was the annual rate of cha

nge in population from 2000 to 2010
Mathematics
1 answer:
JulsSmile [24]3 years ago
8 0

To find the annual rate of chnge, we have to use the following formula

\frac{P(2010)-P(2000)}{2010-2000}

P(2010) represents the population in the year 2010 and P(2000) represents the population in the year 2000 .

Substituting the values, we will get

\frac{310-280}{2010-2000} = \frac{30}{10} = 3 \ million \ per \ year

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One member of a gardening club can plant flowers in 12 hours. With two members of the club working together the job can be done
mariarad [96]

Answer:

24 hours

Step-by-step explanation:

One member of the gardening club can alone plant flowers in 12 hours.

So in 1 hour he can plant 1/12 of the flowers.

Let the time required by the second member of the club to plant flowers alone be x hours.

Then in 1 hour he can plant 1/x of the flowers.

Now when the two members work together,each hour they can plant:

\[\frac{1}{12}+\frac{1}{x}\] of the flowers.

But they can together complete the job in 8 hours. So in one hour they plant 1/8 of the flowers.

=> \[\frac{1}{12}+\frac{1}{x}=\frac{1}{8}\]

=> \[\frac{1}{x}=\frac{1}{24}\]


=> x=24

So the second member can plant the flowers alone in 24 hours

4 0
3 years ago
Two congruent 30-60-90 triangles are placed,as shown,so that they overlap partly and their hypotenuses coincide. If the hypotenu
Ede4ka [16]

Answer: The area common to both triangle is 31.77 sq. cm.

Step-by-step explanation:

Since we have given that

30-60-90 triangles are placed.

So, the ratio of sides would be

1:\sqrt{3}:2

Since Hypotenuse = 12 cm

So, it becomes,

2x=12\\\\x=\dfrac{12}{2}=6

So, Base would be

x=6\ cm

and Perpendicular would be

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So, Area common to the both triangles would be

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Hence, the area common to both triangle is 31.77 sq. cm.

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3 years ago
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