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astraxan [27]
3 years ago
9

6b.) Graph the given points C(-3, 2) and D(6, 2) and find the slope. What is the slope?

Mathematics
1 answer:
White raven [17]3 years ago
6 0
I think y=2 there both on the 2 y intercept straight from each Other
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A regular decagon has a radius of 14'. Determine the length of the apothem. Then determine the perimeter of the decagon
pav-90 [236]

Answer:

Part 1) The length of the apothem is 13.32'

Part 2) The perimeter of the decagon is 86.5'

Step-by-step explanation:

we know that        

A regular decagon has 10 equal sides and 10 equal interior angles

A regular decagon can be divided into 10 congruent isosceles triangle

(they are isosceles since their two sides are the radii of the polygon and the unknown side is the side of the polygon)  

 The vertex angle of each isosceles triangle is equal to

\frac{360^o}{10}=36^o

To find out the side length of the decagon, we can use the law of cosines

so

c^2=a^2+b^2-2(a)(b)cos(C)

where

c is the length side of decagon

a and b are the radii

we have

a=14'\\b=14'\\C=36^o

substitute the values

c^2=14^2+14^2-2(14)(14)cos(36^o)

c^2=392-(392)cos(36^o)

c^2=392-(392)cos(36^o)

c=8.65'

To fin out the perimeter of decagon multiply the length side by 10

so

P=8.65(10)=86.5'

To find out the apothem we can apply the Pythagorean Theorem in one isosceles triangle

see the attached figure to better understand the problem

r^2=a^2+(c/2)^2

substitute the given values

14^2=a^2+(8.65/2)^2

solve for a

a^2=14^2-(8.65/2)^2

a=13.32'

8 0
3 years ago
................................................................................................................................
Vlad [161]

Indeed a good day!

Sir/ or maam

5 0
3 years ago
I need help please find the volume of the shape!
nata0808 [166]

Answer:

D : 3456

Step-by-step explanation:

Use the formula 'volume of a cylinder' which is V = πr^2h

Since you know that the diameter is 20m and you need the radius, the radius is half the diameter, 10m. The height would be the length of the cylinder which is 11m.

Hence π10^2(11). If you put that in the calculator you get 3455.75, round it up and you 3456, answer D

3 0
3 years ago
What are 2 examples of what weighs less than 1 ounce
Evgen [1.6K]
A feather and a leaf both weigh less than 1 ounce.
3 0
4 years ago
Read 2 more answers
Can someone solve this
Sloan [31]
The general equation of a line is y = mx+b. The line is horizontal and the slope (m) of a horizontal line is 0. So y = 0x + b = b. Since the y intercept (where it crosses the y axis) is -1 (or b = -1) then you have the equation y = -1.
Answer: y = -1.
4 0
4 years ago
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