You may remember that the area of a triangle is A=12B⋅H, where B is the base of the triangle and H is the height. Suppose that the area of a triangle is 9 square feet, and the base is 2 times the height. Find the base of the triangle, in feet.

Do not type the units in your answer.

The base of the triangle is 6feets given that the area of the triangle is 9 square feet.

Given that the area of a triangle is expressed as:

b is the base of the triangle

h is the height of the triangle

Given that A = 9 square feet

If the base is 2 times the height, then

Substitute b=2h into the area of the triangle above:

Get the base of the triangle:

Recall that b = 2h

Hence the base of the triangle is 6feets.

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6

Step-by-step explanation:

Assuming that the base is b and the height is h:

Substitute:

Hope this helps!

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.