You are building a ramp that uses a rectangular plank that is 16 ft long. The ramp must reach a height of 5 ft. How far from the building will the end of the plank be? *

15.19 feet

Step-by-step explanation:

Hi, since the situation forms a right triangle (see attachment) we have to apply the Pythagorean Theorem:

c^2 = a^2 + b^2

Where c is the hypotenuse of the triangle (in this case is the length of the plank) and a and b are the other sides.

Replacing with the values given:

16^2 = 5^2 + x^2

256=25 + x^2

256-25 = x^2

231 = x^2

√231 =x

15.19 ft =x

the plank will be 15.19 feet far from the building.

Feel free to ask for more if needed or if you did not understand something.

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.

answer: d. $20

step-by-step explanation:

just took the test