Choose the equation you would use to find the altitude of the airplane. tan70 = 800/x sin70 = x/800 tan70 = x/800

tan(70)=x/800

Step-by-step explanation:

Since we are looking at the altitude and x and 800 are given, we will need tangent. Tangent is opposite/adjacent. We can eliminate sin(70). Between our 2 tangent choices, the answer is tan(70)=x/800. Tan(70)=800/x is very close but incorrect. 800/x is adjacent/opposite. That is not a trigonometric function. We are looking for opposite/adjacent.

linearly: 8560 bacteria

exponentially: approximately 75233 bacteria

step-by-step explanation:

assuming it is not exponential (we would have some really complicated logarithms), let's say it is linear. then, after 5 hours, it increased by 1200 bacteria, so every hour it increases by 240 bacteria. this means that after 19 hours, we get 19 * 240 + 4000 bacteria or 3800 + 760 + 4000 = 7800 + 760 = 8560 bacteria.

because it says round your answer, i will do this exponentially (with a calculator, of course). first, we need to find how much it multiplies by every hour, by taking the 5th root of 52/40 or 13/10. this is approximately 0.167. we still need to add 1 to this, because we are multiplying by that number, not adding that amount of the number. now, we just calculate 4000 * (1.167)^19. use a calculator to get approximately 75232.6, or 75233.

18a

step-by-step explanation:

simply because it is. it's the highest common factor