As the regular pentagon there is 5 regular triangles.
And the area of 1 regular triangle is:
At = Side^2 × √(3)/4
But, as the pentagon has 5 triangle
Then,
Ap = 5 × Side^2 . √(3)/4
Replacing Ap = 6.9
5 × Side^2 . √(3)/4 = 6.9
Side^2 . √(3)/4 = 6.9 ÷ 5
Side^2 . √(3) = 4 × 1,38
Side^2 = 5,52 ÷ √(3)
Side^2 = 3,187
Side = √(3,187)
Side = 1,785 cm
Then,
The total perimeter will be:
P = 5 × Side
P = 5 × 1,785
P = 8,92 cm
Well, I did find this answer.
Answer:
702 pages
Step-by-step explanation:
1/3= 234
234*3=702
Answer:
B) She is incorrect because when substituting 2 for m the result was a false statement.
Step-by-step explanation:
Let's solve it for ourselves and see if Mia is correct:
7.8+2(0.75m+0.4)=-6.4m+4(0.5m-0.8)
7.8+1.5m+0.8=-6.4m+2m-3.2
1.5m+8.6=-4.4m-3.2
8.6=-5.9m-3.2
11.8=-5.9m
-2=m
m=-2
Since the answer is actually m=-2, Mia's guess is incorrect because plugging in m=2 does not make both sides equal. Therefore B is the correct option.
The general formula for an arithmetic sequence is:
<span>a(n) = a + d(n - 1) </span>
<span>a : first term </span>
<span>d : common difference (6) </span>
<span>n : number of the term </span>
<span>In your example, you are told the 6th term is 22. </span>
<span>a(6) = a + 6(6 - 1) = 22 </span>
<span>a + 30 = 22 </span>
<span>a = 22 - 30 </span>
<span>a = -8 </span>
<span>So now you have the general formula: </span>
<span>a(n) = -8 + 6(n - 1) </span>
<span>If you like you can simplify it: </span>
<span>a(n) = -8 + 6n - 6 </span>
<span>a(n) = 6n - 14 </span>
<span>Then you can plug in n = 50: </span>
<span>a(50) = 6(50) - 14 </span>
<span>= 300 - 14 </span>
<span>= 286</span>
Answer:
m = -3/4, b = 8, proportional, negative slope
Step-by-step explanation: