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NeTakaya
3 years ago
9

GEOMETRY HELP! If you could explain this and help me find the answer that would be amazing! Find the measures of an interior ang

le and an exterior angle of a regular polygon with 6 sides.
Mathematics
1 answer:
givi [52]3 years ago
8 0
Regular polygon can be incribed in a circle of radius equal to its side.

so if you join all the vertices to the centre, you will get 6 equilateral triangles. each interior angle will have 2 angles of 60 each. thus interior angle = 120

exterior angle=180-120=60
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What is the equation of the following line? (0,0) (6,2)
leva [86]

If you want it to be a slope intercept form, the first you have to find slope.

y2-y1/x2-x1

2-0/6-0

2/6 = 1/3

Then you need to find the y intercept. Plug in the x and y value in y=mx+b.

2=1/3(6)+b

2=2+b

0=b

ANSWER: y=1/3x+0

Hope this helps and is correct :)

8 0
3 years ago
The sides of a rectangle are in the ratio 5 : 4. If the perimeter of the rectangle is 360 cm , find its area
djverab [1.8K]

Answer:

Step-by-step explanation:

let, the length is z

thus the ratio will be 5z : 4z

perimeter = 2 (a + b)

360 = 2 ( 5z + 4z )

180 = 9z

z = 20 cm

length = 100 cm and width = 80cm

area = length * width

area = 100*80

area = 8000cm²

4 0
2 years ago
The rate of change of revenue (in dollars per calculator) from the sale of x calculators is R′(x)=(x+1)ln(x+1)R ′ (x)=(x+1)ln(x+
jekas [21]

Answer:

Total revenue = \frac{169}{2}\ln(13)-\frac{169}{4}  dollars

Step-by-step explanation:

R'(x)=(x+1)\ln(x+1)

Integrate with respect to x.

R(x)= ∫(x+1)\ln(x+1) dx

Take x+1=u

Differentiate with respect to x

dx=du

So,

R(x)= ∫u\ln(u)\,du

Use integration by parts: ∫f g dx = f∫ g dx-∫(∫g dx)f' dx

Therefore,

R(x)=  \frac{u^2}{2}\ln(u) -  ∫\frac{u^2}{2}\frac{1}{u}\,du

=  \frac{u^2}{2}\ln(u) -  ∫\frac{u}{2}\,du

Put u=x+1

R(x)=   \frac{(x+1)^2}{2}\ln(x+1)-\frac{(x+1)^2}{4}

To find total revenue from the sale of the first 12 calculators, put x=12

R(x)=   \frac{(12+1)^2}{2}\ln(12+1)-\frac{(12+1)^2}{4}\\\\= \frac{(13)^2}{2}\ln(13)-\frac{(13)^2}{4}\\\\=\frac{169}{2}\ln(13)-\frac{169}{4}

Total revenue = \frac{169}{2}\ln(13)-\frac{169}{4}  dollars

4 0
3 years ago
What is the range of the function represented by these ordered pairs?
Finger [1]

Answer:

Choice 2

Step-by-step explanation:

Range is talking about the y value of the coordinates. Choice 2 has all the y value in the function

6 0
3 years ago
Why is angle h congruent to angle k
hammer [34]
Because both of the polygons are congruent and are flipped so there for they are the same angle
6 0
3 years ago
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