Answer:
x = 12 y = 24 z = 12
Step-by-step explanation:
you are correct. x = 12
The dotted line has a length of 12 also
The dotted line is the shorter leg of the 30-60-90 triangle.
So, z = 12
and y = 24
Answer:
1/6
Step-by-step explanation:
We want to find how long it takes for the bacteria to lose half its size. We can do this by taking one point of the bacteria and finding how long it takes to go to half its size. When t=0, 9300 * (1/64)^t = 9300 * 1 = 9300 as anything to the power of 0 is 1. Therefore, we can solve for t when the end result of the bacteria is 9300/2= 4650, making our equation
4650 = 9300 * (1/64)^t
divide both sides by 9300
1/2 = (1/64)^t
First, we can tell that 2^6 = 64*. Because of this, we can say that (1/2)^6 = 1^6/2^6 = 1/64, so (1/64)^(1/6) = 1/2. We know this because
(1/2)^6 = 64
take the 6th root of both sides
(1/2) = (64)^(1/6)
. This means that t=1/6, so the bacterial culture loses 1/2 of its size every 1/6 seconds
* if this is harder to figure out, e.g. 3 and 729, we can plug (log₃729) into a calculator
Answer:
i dont know cause you didnt give any of the answers that are in the boxes it would be helpful if you did that
Step-by-step explanation:
Answer:
7 . 8.9
8 . 19.5
9 . 9.9
10 .12.6
Step-by-step explanation:
7.x=11tan39
8.x=28cos46
9.x=8tan51
10.x=31sin24
side opposite of mentioned angle is opposite
longest side in triangle is hypotenuse
the side subtended by the angle is the adjacent