Answer:
1
Explanation:
According to the Unit Circle, sin π\6 is ½, so we plug this into the cosine function to get this:
cos π\6 - π\6 → cos 0 >> 1
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*** Plus, we need to make sure that the x-value falls in between 0 and π\2, which it did, so no need to worry.
Answer:
2290 trees
Step-by-step explanation:
Given data
Let the total number of trees be x
62% of the total trees x is 1420 trees
mathematically
62/100x= 1420
0.62x= 1420
divide both sides by 0.62
x= 1420/0.62
x= 2290.32
To the nearest whole tree= 2290 trees
Answer:
<em>or 704,000</em>
Step-by-step explanation:
<u>Standard Form of Numbers</u>
Any number that we can write as a decimal number between 1.0 and 10.0, multiplied by a power of 10, is said to be in Scientific Notation. Some authors consider standard form and scientific form as the same, but others state that standard form is the common form of expressing numbers, i.e., a sequence of digits, separated by thousands by a comma, and separated from the decimal part by a dot.
We'll give here both answers.
We have to calculate:
![6.72\cdot 10^{5}+3.2\cdot 10^{4}](https://tex.z-dn.net/?f=6.72%5Ccdot%2010%5E%7B5%7D%2B3.2%5Ccdot%2010%5E%7B4%7D)
Since the numbers don't have the same exponent, we must make them equal. Let's make the second number have an exponent of 5, by dividing by 10:
![6.72\cdot 10^{5}+3.2\cdot 10^{4}=6.72\cdot 10^{5}+3.2/10\cdot 10^{5}](https://tex.z-dn.net/?f=6.72%5Ccdot%2010%5E%7B5%7D%2B3.2%5Ccdot%2010%5E%7B4%7D%3D6.72%5Ccdot%2010%5E%7B5%7D%2B3.2%2F10%5Ccdot%2010%5E%7B5%7D)
![6.72\cdot 10^{5}+3.2\cdot 10^{4}=6.72\cdot 10^{5}+0.32\cdot 10^{5}](https://tex.z-dn.net/?f=6.72%5Ccdot%2010%5E%7B5%7D%2B3.2%5Ccdot%2010%5E%7B4%7D%3D6.72%5Ccdot%2010%5E%7B5%7D%2B0.32%5Ccdot%2010%5E%7B5%7D)
Now we add:
![6.72\cdot 10^{5}+3.2\cdot 10^{4}=7.04\cdot 10^{5}](https://tex.z-dn.net/?f=6.72%5Ccdot%2010%5E%7B5%7D%2B3.2%5Ccdot%2010%5E%7B4%7D%3D7.04%5Ccdot%2010%5E%7B5%7D)
It's correctly expressed in scientific notation. Now to convert to 'standard form', multiply by
:
![6.72\cdot 10^{5}+3.2\cdot 10^{4}=7.04*100,000=704,000](https://tex.z-dn.net/?f=6.72%5Ccdot%2010%5E%7B5%7D%2B3.2%5Ccdot%2010%5E%7B4%7D%3D7.04%2A100%2C000%3D704%2C000)
<span>7.71(–0.02)
</span><span>0.23(–1.1)
</span><span>–5.09(8.1)
The reason is because a negative * positive will always give a negative answer. Negative * negative and positive * positive will always have a positive answer.</span>