Answer:
The larger acute angle is equal to 50.8 degrees.
Step-by-step explanation:
Let's solve for both of the acute angles for the purpose of checking our work at the end with angle A being the top angle and angle B being the one on the base of the triangle (that's not the 90 degrees one). Determining whether to use sin/cos/tan comes from SOH-CAH-TOA.
A = cos^-1 (2√6/2√15)
However, you need to move the radical out of the denominator by multiplying √15 to the numerator and denominator. You should come up with (2√90)/30. So,
A = cos^-1 (2√90/30) = 50.768 degrees.
B = sin^-1 (2√90/30) = 39.231 degrees.
Now, we can check the work by adding the 2 angles to 90 and, if it comes to 180, it's right.
cos^-1 (2√90/30) + sin^-1 (2√90/30) + 90 = 180.
If you have any questions on where I got a formula or any step, feel free to ask in the comments!
Answer:
1.about 180 degrees
2.45 degrees
3.1.5
4.4/5
Step-by-step explanation:
Example:
38 rounds to 40
6 rounds to 10
10+40 = 50
Answer:
The correct option is (A).
Step-by-step explanation:
The function representing the growth of number, in billions, of the DNA sequences in a database x years since 2010 is:
![f(x)=7\cdot (1.32) x](https://tex.z-dn.net/?f=f%28x%29%3D7%5Ccdot%20%281.32%29%20x)
The general growth function can be represented as:
![y=a\cdot (1+r)^{t}](https://tex.z-dn.net/?f=y%3Da%5Ccdot%20%281%2Br%29%5E%7Bt%7D)
Here,
<em>y</em> = final value
<em>a</em> = initial value
<em>r</em> = growth rate
<em>t</em> = time
Com-paring the two functions we get:
![1+r=1.32\\r=1.32-1\\r=0.32](https://tex.z-dn.net/?f=1%2Br%3D1.32%5C%5Cr%3D1.32-1%5C%5Cr%3D0.32)
This implies that the annual increase rate in number, in billions, of the DNA sequences is 32%.
Thus, the correct option is (A).