Let S be the sum,
S = 2 + 4 + 6 + ... + 2 (n - 2) + 2 (n - 1) + 2n
Reverse the order of terms:
S = 2n + 2 (n - 1) + 2 (n - 2) + ... + 6 + 4 + 2
Add up terms in the same positions, so that twice the sum is
2S = (2n + 2) + (2n + 2) + (2n + 2) + ... + (2n + 2)
or
2S = n (2n + 2)
Divide both sides by 2 to solve for S :
S = n (n + 1)
Answer:
h=A/b
Step-by-step explanation:
Think of putting number in the place of the letter, for example
A is 4
b is 2
h is 2
4=2 x 2 then plug the numbers in the right spot
2=4/2 then see what can be rearranged or what is left to make the
equation true
Answer:
Please read all of this! Underlined things are the answers. The area of the entire circle is 19.625
Step-by-step explanation:
(This is a circle so the middle line is the diameter. According to the attachment, the diameter is 5 cm. To find the area, we have to multiply π and the radius squared. The radius is half of the diameter.
5 ÷ 2 = 2.5
2.5² = 6.25
π = 3.14
3.14 x 6.25 = 19.625)
Ignore the top I just realized what I'm supposed to do but I left it there just in case you need help!
<u>The right and left shaded regions areas are 6.28 each.</u>
4 ÷ 2 = 2
2² = 4
3.14 x 4 = 12.56
Since this is a semi circle, we cut it in half.
12.56 ÷ 2 = 6.28
To find the top and bottom shaded region's areas, repeat the same steps.
3 ÷ 2 = 1.5
1.5² = 2.25
3.14 x 2.25 = 7.065
7.065 ÷ 2 = 3.5325
<u>The areas of the the top and bottom shaded regions are 3.5325 each.</u>
Answer:
Step-by-step explanation:
if 
answer:
Answer:
1) A because of vertical angle theorem (VAT), which means that b=37 degrees
2) C because a right angle is= to 90 degrees. Take away 23, you get 67 degrees
3) B because the image shows a full angle, which is equal to 360 degrees. Take away 207 and 58, you get 95 degrees
4) D because a right angle is= to 90 degrees. Take away 44, you get 46 degrees
5) A because a right angle is=to 90 degrees. Take away 58, you get 32 degrees
