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4 years ago

What is the sum of all the exterior angles for a 99-gon?*

Mathematics

1 answer:

mars1129 [50]4 years ago

8 0

Answer:

360

Step-by-step explanation:

The sum exterior angles of any number of side polygon is always 360

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Solve for the indicated variable. Include all of your work in your answer. Submit your solution.

Sergio039 [100]

P = 2L + 2W; for L

P - 2W = 2L
P - 2W/2 = L
P/2 - W = L

5 0

3 years ago

Read 2 more answers

Some types of algae have the potential to cause damage to river ecosystems. Suppose the accompanying data on algae colony densit

kondor19780726 [428]

Answer:

The equation of the regression line is:

$y~=~234.56158 ~-~ 2.95835 \cdot x$

Step-by-step explanation:

The Least Squares Regression Line is the line that makes the vertical distance from the data points to the regression line as small as possible. It’s called a “least squares” because the best line of fit is one that minimizes the variance.

We have the following data:

$\begin{array}{c|ccccccccc}X&50&55&50&79&44&37&70&45&49\\Y&152&48&22&35&43&171&13&185&25\end{array}$

To find the line of best fit for the points:

Step 1: Find $X\cdot X$ and $X\cdot Y$ as it was done in the table

Step 2: Find the sum of every column:

$\sum{X} = 479 ~,~ \sum{Y} = 694 ~,~ \sum{X \cdot Y} = 32784 ~,~ \sum{X^2} = 26897$

Step 3: Use the following equations to find a and b:

$\begin{aligned} a &= \frac{\sum{Y} \cdot \sum{X^2} - \sum{X} \cdot \sum{XY} }{n \cdot \sum{X^2} - \left(\sum{X}\right)^2} = \frac{ 694 \cdot 26897 - 479 \cdot 32784}{ 9 \cdot 26897 - 479^2} \approx 234.56158 \\ \\b &= \frac{ n \cdot \sum{XY} - \sum{X} \cdot \sum{Y}}{n \cdot \sum{X^2} - \left(\sum{X}\right)^2} = \frac{ 9 \cdot 32784 - 479 \cdot 694 }{ 9 \cdot 26897 - \left( 479 \right)^2} \approx -2.95835\end{aligned}$

Step 4: Assemble the equation of a line

$\begin{aligned} y~&=~a ~+~ b \cdot x \\y~=~234.56158 ~-~ 2.95835\cdot x\end{aligned}$

The graph of the regression line is:

5 0

4 years ago

In the coordinate plane, what is the length of the line segment that connects points at (5,4) and (-3,-1)

baherus [9]

Answer:

9.434 units

Step-by-step explanation:

Given data

points (5,4) and (-3,-1)

x1= 5

y1= 4

x2= -3

y2= -1

The expression for the distance between two points is

d=√((x_2-x_1)²+(y_2-y_1)²)

substitute

d=√((-3-5)²+(-1-4)²)

d=√((-8)²+(-5)²)

d=√64+25

d=√89

d=9.4339

d= 9.434 units

Hence the distance between the points is 9.434 units

8 0

3 years ago

Help fast I NEED IT RN

Ivahew [28]

Answer:

204 people

Step-by-step explanation:

The manager has interviewed 50 people, which is 1/6 of 300. Just times it by 6 to get an approximate amount of people :)

8 0

3 years ago

For the data in the table, does y vary directly with x? If it does, write an equation for the direct variation. x|y 4|28 6| 48|

vazorg [7]

Let's have a look:

2(4)= 8 (this would not work)

5(4)= 20 (this wouldn't work)

7(4)= 28 This does, let's check the others.

7(6)= 42 This does not work.

"D" would be the correct answer.

I hope this helps!
~cupcake

8 0

3 years ago

Read 2 more answers