B.
He has used the highest recommended percentages to calculate the amounts for the three categories.
Answer:
The phone could be either 24 feet away from them or 70 feet away from them because the person that lost the phone could be on the other side of the cell phone tower
Step-by-step explanation:
1.4 repeating?
3x+3=5x-10+7x
3x+3=12x-10
3=9x-10
13=9x
1.4 repeating=x
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:
82.96 people/km^2
Step-by-step explanation:
people / square km
3.70 x 10^9
----------------- =
4.46 x 10^7
3.70 x 10^2
----------------
4.46
0.8295... x 100 = 82.959641 or rounded 82.96
