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3 years ago

Find the measure of an interior and an exterior angle of a regular 24-gon

Mathematics

1 answer:

Natalija [7]3 years ago

7 0

Answer:

Exterior: 15 degrees Interior: 165 degrees

Step-by-step explanation:

All shape's exterior angles (total) equal 360 degrees. 360/24=15.

The formula for finding an interior angle is (n-2)*180/n. (24-2)*180/24=165

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What are the right choices

MA_775_DIABLO [31]

Answer:

(0.1,1.1)

Step-by-step explanation:

we have

$f(x)=3^{x}$

$g(x)=-log(x)$

Solve the system of equations by graphing

The solution is the intersection point both graphs

The solution is the point (0.081,1.093)

see the attached figure

Round to the nearest tenth ----> (0.1,1.1)

6 0

3 years ago

Whats the answer to -|2+5| =

lilavasa [31]

Answer:-7

Step-by-step explanation:do absolute value first and then put the negative sign

8 0

3 years ago

Write the equation of the circle with center (−1, −3) and (−7, −5) a point on the circle.

Pepsi [2]

So, we know the center is at -1, -3, hmmm what's the radius anyway?

well, the radius will be the distance from the center to any point on the circle, it just so happen that we know -7, -5 is on it, thus

$\bf ~~~~~~~~~~~~\textit{distance between 2 points}\\\\
\begin{array}{ccccccccc}
&&x_1&&y_1&&x_2&&y_2\\
% (a,b)
&&(~ -1 &,& -3~) 
% (c,d)
&&(~ -7 &,& -5~)
\end{array}
\\\\\\
d = \sqrt{( x_2- x_1)^2 + ( y_2- y_1)^2}
\\\\\\
r=\sqrt{[-7-(-1)]^2+[-5-(-3)]^2}\implies r=\sqrt{(-7+1)^2+(-5+3)^2}
\\\\\\
r=\sqrt{36+4}\implies r=\sqrt{40}\\\\
-------------------------------$

$\bf \textit{equation of a circle}\\\\ 
(x- h)^2+(y- k)^2= r^2
\qquad 
center~~(\stackrel{-1}{ h},\stackrel{-3}{ k})\qquad \qquad 
radius=\stackrel{\sqrt{40}}{ r}
\\\\\\\
[x-(-1)]^2+[y-(-3)]^2=(\sqrt{40})^2\implies (x+1)^2+(y+3)^2=40$

5 0

3 years ago

A two-factor study with two levels of factor A and three levels of factor B uses a separate group of n = 5 participants in each

Mashcka [7]

Answer: There are 30 participants are needed for the entire study.

Step-by-step explanation:

Since we have given that

Number of levels of factor A = 2

Number of levels of factor B = 3

Number of participants in each treatment condition = 5

So, the number of participants are needed for the entire study is given by

$2\times 3\times 5\\\\=6\times 5\\\\=30$

Hence, there are 30 participants are needed for the entire study.

7 0

3 years ago

The price of an item has been reduced by 30%. The original price was $20. What is the price of the item now?

Ludmilka [50]

Answer:

$14

Step-by-step explanation:

multiply .30 times 20 to get $6, subtract that from the orginal price which is $20

7 0

3 years ago

Read 2 more answers