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natita [175]
3 years ago
5

If a regular decagon with 6 cm sides has an area of 276.99 cm squared, what is the length of the apothem to the nearest hundredt

h

Mathematics
1 answer:
bezimeni [28]3 years ago
4 0
According to the attached formula:
apothem = side length / 2 * tan (180/number of sides)
apothem = 6 / 2 * tan (180/10)
apothem = 6 / 2 * 0.32492
apothem =  <span> <span> <span> 9.23 cm
 </span></span></span>

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3x + 8y = 12 2x + 2y = 3 Part A: Create an equivalent system of equations by replacing one equation with the sum of that equatio
love history [14]
Ok here is what I think.
Let us first number these statements, as #1, and #2.
First statement: 3x + 8y = 12 (1)
Second Statement: 2x + 2y = 3 (2)
Now, we can work from this.
We want to make one of the equations be equal to 0 so that at the end when we check they can be equal to each other.
Let us use 4.
3x+8y=12      1-8x-8y=-12    2
This gives us:-5x = 0          
Now we should try and isolate x so we can substitute it into one of the equations.
We have -5x=0
and x=0
3(0)+8y=12
8y=12
y=12/8
y=3/2
Plug in these new equations
y=3/2 and y=0 into any of the first equations
 3x+8y=12                3(0)+8(3/2)= 12       8(3/2)=12                 4(3)=12                    12=12                           
Now we know it works, thats our check^^
7 0
2 years ago
What is the solution to the equation below? 4x = ⅔
Nataly [62]

Step-by-step explanation:

we divide both sides by 4 to single out the X

(4X) / 4 = (2/3)/4

simplify

X = 2/12

4 0
2 years ago
Find the area of the composite figure.
Minchanka [31]

Answer:

132 square feet

Step-by-step explanation:

The formula for the area of a triangle is 1/2 * b * h. B stands for base and h stands for height. 1/2 multiplied by the base, 10, is 5. We then multiply 5 by 12 which is 60. Let's look at the rectangle now. The area of a rectangle is length by width. The length is 12ft and the width is 6ft. 12 * 6 = 72. 72+60=132 square feet.

8 0
2 years ago
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Alex777 [14]

Answer:

-7/5

Step-by-step explanation:

m=(y2-y1)/(x2-x1)

m=(1-8)/(6-1)

m=-7/5

3 0
2 years ago
(Use distributive property)<br> 6 (5x + 3)
S_A_V [24]

Answer:

30x + 18

Step-by-step explanation:

Using distributive property, you can find the answer like so.

Multiply 6 and 5x first

6(5x + 3)

30x + 3

Now multiply 6 by 3

6(5x + 3)

30x + 18

Hope I explained this well to you. :)

7 0
2 years ago
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