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2 years ago

AC is the diameter. Calculate the area of the sector (to the nearest whole number) created by ∠CDB.

Mathematics

1 answer:

TiliK225 [7]2 years ago

3 0

Area of the circle is πr² which corresponds to an angle of 360° subtended at the center. Thus, the area of a sector subtending angle $\theta$ at the centre is:

$Area= \frac{\theta}{360}\times \pi r^2$

In this case put $\theta$ equal to 30°

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2 years ago

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Andrei [34K]

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2 years ago

Math To Do Ready

emmasim [6.3K]

Answer:

At 1pm, the number of bacteria in the dish is 1,000,000

At 12pm, the number of bacteria in the dish is 500,000

Step-by-step explanation:

Given the information on the table

$\left|\begin{array}{c|c}$Hour&$Number of Bacteria (in millions)\\---&--------------\\12 p.m.&\\1 p.m.&\\12 p.m.&\\2 p.m.&\\3 p.m.&\\4 p.m.&\\5 p.m.&32\\6 p.m.&64\end{array}\right|$

We are to follow the pattern to determine how many million bacteria were in the dish at 1 p.m. and 12 p.m.

Now:

$32=2^5\\64=2^6$

It therefore means that the bacteria population doubles every hour. Following this pattern and reducing the exponents by 1 backwards, we have:

$\left|\begin{array}{c|c}$Hour&$Number of Bacteria (in millions)\\---&--------------\\12 p.m.&2^{-1}=0.5\\1 p.m.&2^0=1\\12 p.m.&2^1=2\\2 p.m.&2^2=4\\3 p.m.&2^3=8\\4 p.m.&2^4=16\\5 p.m.&2^5=32\\6 p.m.&2^6=64\end{array}\right|$

Therefore:

At 1pm, the number of bacteria in the dish is 1,000,000
At 12pm, the number of bacteria is 0.5 million=0.5 X 1,000,000=500,000

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2 years ago

SOMEBODY HELP ME PLEASE

Karolina [17]

The exponential model indicates that hydropower energy generation has increased by 2.3% (0.023).

<h3>What is an exponential function?</h3>

An exponential function can be defined as a type of mathematical equation whose numerals are generated by a constant that's raised to the power of an argument.

Based on an exponential model for this data, we can deduce the following:

Mathematically, the exponential function for the given data is given by $y = 1276.6e^{0.023x}$

The exponential model indicates that hydropower energy generation has increased by 2.3% (0.023).

Hydropower energy generation in 25 years after 1970 was closest to 2270 TWh.

Because the correlation coefficient indicates a strong correlation between the model and the data, this prediction can be accepted with confidence interval of 98.7%.

Read more on exponential functions here: brainly.com/question/12940982

#SPJ1

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1 year ago