When two lines intersect to form two angles, what conjecture can you make about the pairs of angles that are next to each other?

Ginny is studying a population of frogs. She determines that the population is decreasing at an average rate of 3% per year. Whe

Rama09 [41]

You can see how this works by thinking through what's going on.

In the first year the population declines by 3%. So the population at the end of the first year is the starting population (1200) minus the decline: 1200 minus 3% of 1200. 3% of 1200 is the same as .03 * 1200. So the population at the end of the first year is 1200 - .03 * 1200. That can be written as 1200 * (1 - .03), or 1200 * 0.97

What about the second year? The population starts at 1200 * 0.97. It declines by 3% again. But 3% of what??? The decline is based on the population at the beginning of the year, NOT based no the original population. So the decline in the second year is 0.03 * (1200 * 0.97). And just as in the first year, the population at the end of the second year is the population at the beginning of the second year minus the decline in the second year. So that's 1200 * 0.97 - 0.03 * (1200 * 0.97), which is equal to 1200 * 0.97 (1 - 0.03) = 1200 * 0.97 * 0.97 = 1200 * 0.972.

So there's a pattern. If you worked out the third year, you'd see that the population ends up as 1200 * 0.973, and it would keep going like that.

So the population after x years is 1200 * 0.97x

5 0

3 years ago

Each week carrie works 40 hours she spend 15% of her time at register

VLD [36.1K]

Please, share the goal of the problem. If Carrie works 40 hours per week and spends 15% of her time at the register, how much time does she NOT spend at the register?

Subtract 15% from 100%; the result is 85%. Now find 85% of 40 hours:

0.85(40 hours) = 34 hours.

Please note that I invented part of this problem. Next time, share all of the info so that someone can help you solve YOUR particular problem.

3 0

3 years ago

Correct Answer Will get Brainliest

Tanya [424]

Answer:48.6

we know that

You can paint 75 square feet of a surface every 45 minutes

so

using proportion

Find out how long it takes you to paint a surface area of 81 square feet

45(81)/75=48.6

hope this helped and I hope you get a correct answer :D

5 0

3 years ago

Read 2 more answers

Messed up and didnt put the attachment on the last post

Margarita [4]

Answer :-

9(3+√3) feet

Step by step explanation :-

A triangle is given to us. In which one angle is 30° and length of one side is 18ft ( hypontenuse) .So here we can use trignometric Ratios to find values of rest sides. Let's lable the figure as ∆ABC .

Now here the other angle will be = (90°-30°)=60° .

In ∆ABC ,

=> sin 30 ° = AB / AC

=> 1/2 = AB / 18ft

=> AB = 18ft/2

=> AB = 9ft .

Again In ∆ ABC ,

=> cos 30° = BC / AC

=> √3/2 = BC / 18ft

=> BC = 18 * √3/2 ft

=> BC = 9√3 ft .

Hence the perimeter will be equal to the sum of all sides = ( 18 + 9 + 9√3 ) ft = 27 + 9√3 ft = 9(3+√3) ft .

<h3>Hence the perimeter of the triangular pathway shown is 9 ( 3 + √3 ) ft .</h3>

3 0

3 years ago

A population has a standard deviation of 22. What is the standard error of the

KonstantinChe [14]

Answer:

2.2

Step-by-step explanation:

Find square root of sample size then divid it by your standard deviation

3 0

3 years ago