A circle has a radius of \blue{3}3start color #6495ed, 3, end color #6495ed. An arc in this circle has a central angle of 340^\circ340 ∘
340, degrees.
What is the length of the arc?

Complete question:

A circle has a radius of 3 and a central angle of 340 degrees, what is the arc length? Round to the nearest tenth place.

length of arc ≈ 17.8 (to the nearest tenth)

Step-by-step explanation:

To find the length of the arc we use the formula for finding length of an arc.

length of arc = ∅/360 × 2πr

where

∅ = central angle

r  = radius

∅ = 340°

r = 3

length of arc = ∅/360 × 2πr

length of arc = 340/360 × 2 × π × 3

length of arc = 340/360 × 6π

length of arc = 2040π/360

length of arc = 204π/36

length of arc = (204 × 3.14)/36

length of arc = 640.56/36

length of arc = 17.7933333

length of arc ≈ 17.8 (to the nearest tenth)

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.

wheres graph

step-by-step explanation: