Apothem is the height of a triangel formed by two consecutive vertices with the center. the are of this triangle = 1/2 s 8 = 4s
there area 12 such triangles in the regular 12 side polygon
So area = 12 * 4 s = 48 s
Perimeter of triangle = 3×side
Perimeter of square = 4× side
Side of triangle = 5cm
Perimeter of triangle = 3×5
=15 cm
Perimeter of triangle =Perimeter of square
15cm = 4× side of square
Side of square = 15÷4
=3.75 cm
Therefore ,Side of square is 3.75 cm .
Step-by-step explanation:
Step one:
we are given the equation for Addy And Rachel's earning as
-------------1
Step two:
Context creation
Say john earns $0.9 per paper he delivers, estimate how much he would earn to deliver 10 papers
let the amount earn be y and the number of papers delivered be x
the equation is
y=0.9x
for x=10
y=0.9(10)
y=$9
<u>We can see that John's unit rate is more than Addy's unit rate</u>
This process is:
<span>Distribute of the Negative Sign:
</span><span><span><span>5t</span>+t</span>−3</span>+<span><span>−1</span><span>(<span><span><span>7t</span>+5</span>−<span>(<span>8−<span>3t</span></span>)</span></span><span>)
</span></span></span><span><span><span><span><span><span><span>5t</span>+t</span>+</span>−3</span>+<span><span>−1</span><span>(<span>7t</span>)</span></span></span>+<span><span>(<span>−1</span>)</span><span>(5)</span></span></span>+<span><span>(<span>−1</span>)</span><span>(<span>−8</span>)</span></span></span>+<span><span>−1</span><span>(<span>3t</span>)</span></span>
<span><span><span><span><span><span><span><span><span><span>5t</span>+t</span>+</span>−3</span>+</span>−<span>7t</span></span>+</span>−5</span>+8</span>+</span>−<span>3<span>t
</span></span>Now simple, Just Combine Like Terms:
<span><span><span><span><span><span><span>5t</span>+t</span>+<span>−3</span></span>+<span>−<span>7t</span></span></span>+<span>−5</span></span>+8</span>+<span>−<span>3<span>t
</span></span></span></span><span>(<span><span><span><span>5t</span>+t</span>+<span>−<span>7t</span></span></span>+<span>−<span>3t</span></span></span>)</span>+<span>(<span><span><span>−3</span>+<span>−5</span></span>+8</span><span>)
</span></span>−<span>4<span>t
</span></span>
-4t would be the answer.
~Evie
Answer:
The value for 20th term is 10.
Step-by-step explanation:
First, you have to find the formula for the sequence.





Given that the formula of this sequence is an = -10n + 210. Next, you have to find 20th term :




(Correct me if I am wrong)