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3 years ago

Witch plane shape has all its outer lines connecting

Mathematics

1 answer:

posledela3 years ago

5 0

Answer:

Step-by-step excircle

A circle is a plane figure bounded by one curved line, and such that all straight lines drawn from a certain point within it to the bounding line, are equal. The bounding line is called its circumference and the point, its centre.planation:

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How to solve n²-10n+22=-2

Aliun [14]

It's almost solved. Just move the -2 to the other side.
n^2-10n+22=-2
n^2-10n+24 done!

7 0

3 years ago

I need some help please

Veronika [31]

The definition of the tangent function tells you
tan(angle) = (300 ft) / (distance to mountain)
This equation can be rearranged to
(distance to mountain) = (300 ft) / tan(angle)

For the far end of the river,
distance to far end = (300 ft) / tan(24°) ≈ 673.8 ft

For the near end of the river
distance to near end = (300 ft) / tan(40°) ≈ 357.5 ft

Then the width of the river can be calculated by finding the difference of these distances:
width of river = distance to far end - distance to near end
width of river = 673.8 ft - 357.5 ft
width of river = 316.3 ft

The appropriate answer choice is
316 ft.

8 0

3 years ago

Ella and kate play basketball last year ella scored 16 points per game kates total points for the season were 22 less than Ellis

KatRina [158]

Alright, lets get started.

Ella and kate played basketball last year.

In each game, Ella scored 16 points.

We have not given the number of games played.

So, lets suppose there are n games played last year.

So, total points of Ella will be = number of games * each game score

total points of Ella will be = n * 16 = 16 n

Kates total points for the season are 22 less than Elli's points

Means , Kates total points = 16 n - 22

This expression is similar with expression given 16 z - 22 (which is give in question)

It means z = n , means variable z means total games played in last year. : Answer

Hope it will help :)

4 0

3 years ago

ALGEBRA 1, SEMESTER 2

SIZIF [17.4K]

So firstly, we have to find f(x) when x = 8 and x = 0. Plug the two numbers into the x variable of the function to solve for their f(x):

$f(0)=\frac{2*0+3}{3*0-3}\\ f(0)=\frac{0+3}{0-3}\\ f(0)=\frac{3}{-3}\\ f(0)=-1\\ \\ f(8)=\frac{2*8+3}{3*8-3}\\ f(8)=\frac{16+3}{24-3}\\ f(8)=\frac{19}{21}$

Now that we have their y's, we can use the slope, aka average rate of change, formula, which is $\frac{y_2-y_1}{x_2-x_1}$ . Using what we have, we can solve it as such:

$\frac{\frac{19}{21}-(-1)}{8-0}=\frac{\frac{40}{21}}{8}=\frac{40}{21*8}=\frac{40}{168}=\frac{5}{21}$

In short, the average rate of change from x = 0 to x = 8 is 5/21.

8 0

3 years ago

2. In 2010, the population of a town is 8500. The population decreases by 4.5% each year.

Korvikt [17]

This exponential growth/decay (in this case decay because r<1) of the form:

f=ir^t, f=final value, i=initial value, r=common ratio or "rate", t=time.

Since the population decreases by 4.5% each year the common ratio is:

r=(100-4.5)/100=0.955 so we can say

P(t)=8500(0.955^t)

....

7000=8500(0.955^t)

14/17=(955/1000)^t taking the natural log of both sides

ln(14/17)=t ln(955/1000)

t=ln(14/17)/ln(955/1000)

t≈4.22 years (to nearest hundredth of a year)

Since t is the years since 2010, the population will fall to 7000 in the year (2010+4.22=2014.22, more than four years will have elapsed) 2015.

5 0

2 years ago