What is the distance around a triangle that has sides measuring 2 1/8 feet, 3 1/2 feet, and 2 1/2 feet?
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the sum of present ages of ria and abby is 48 years. today abby is 4 years older than shweta. the respective ratio of the present ages of ria and shweta is 4: 7. what was abby's age two years ago?
Describe a linear equation in the form Ax + By = C for each condition.a. A = 0 b. B = 0 c. C = 0
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month1)200
month2)400
month3) 800
month4) 1600
month5) 3200
month6) 6400
month7)12800
Final answer:
The population of insects is doubling each month. To figure out the population after 7 months, we can use the formula for exponential growth, 2^n, where n is the number of months. Using this formula, after 7 months, there will be 12,800 insects.
Explanation:
The population of insects is doubling each month, so the insect population is growing exponentially. To calculate the population after 7 months, you can use the formula for exponential growth, which is 2^n, where n is equal to the number of time periods, in this case, months.
After 1 month, the population is 100 * 2 = 200. After 2 months, the population is 200 * 2 = 400, and so on. After 7 months, we can calculate as follows:
100 * 2^7 = 100 * 128 = 12800 insects. So, after 7 months, there will be 12,800 insects if the population doubles each month.
Learn more about Exponential Growth here:
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Next it says that it traveled 40km 30 degrees from vertical, so we set up a sin equation to solve for the missing side, n:
sin(angle)= opposite/hypotenuse:
sin(30) = n/40
40sin30=n
n=20km
Then it says at an angle of 45 degrees, it goes 100km. This means that we are given the hypotenuse of a right triangle, and we need to find the side that goes up and down. We shall call this length x.
We know that the angle opposite x is 45 degrees.
So, we will use sin to solve for x:
sin(angle)= opposite/hypotenuse
sin45= x/100
100sin45=x
x=70.711km
But remember, I said not to forget about that 30km from the very beginning? So we add up all of our vertical heights:
30km + 20km+ 70.711km = 120.711km
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For a complex number z = x + iy, [z] = √(x^2 +y^2)
Where x = Real Number, y = Imaginary number.
For 3 +i, x = 3, y = 1 (Note y is what number that is attached to i)
[3 + i] = √(3^2 +1^2) = √10 = 3.162
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a infinity
===============
AC=a
BC=b
AC+BC+AB=p=12
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Answer:
-0.06373626373
Step-by-step explanation: