This is an octagon, which has 8 sides.
the angle of rotation is 360/8 = 45°
Answer:
(A) Your friend will save $282.
(B) Your friend will get 23.5% off the original price of the mattress.
Step-by-step explanation:
We first need to find out the price of the mattress after the 15% discount. Our first step is to find what 15% of 1,200 is. We can do this by multiplying the two numbers.
1,200 x 15% -----> 1,200 x 0.15= 180.
15% of $1,200 is $180.
Next subtract $180 from $1,200, which equals $1,020. We can now apply the 10% off internet coupon.
1,020 x 10% ------> 1,020 x 0.10= 102.
10% of $1,020 is $102.
Next we subtract $102 from $1,020 and we get $918, the final price of the discounted mattress.
We subtract to see how much money the friend saved.
$1,200 - $918= $282.
We can get the percentage by dividing $282 by $1,200.
282 / 1200= 0.235 decimal form ----> 23.5%
<span>The question ask us to find the products which equals 216. First we have to factorize 216: 216 = 2*2*2*3*3*3. So: 216 = 1 * 216; 216 = 2 * 108; 216 = 3 * 72; 216 = 4 * 54 ; 216 = 6 * 36; 216 = 8 * 27; 216 = 9 * 24 ; 216 = 12 * 18. And because of a commutative property: 216 = 18 * 12 ; 216 = 24 * 9 ; 216 = 27 * 8 ; 216 = 36 * 6 ; 216 = 54 * 4 ; 216 = 72 * 3 ; 216 = 108 * 2; 216 = 216 * 1.</span>
Answer:
129.8 approximately
Step-by-step explanation:
So this sounds like a problem for the Law of Cosines. The largest angle is always opposite the largest side in a triangle.
So 11 is the largest side so the angle opposite to it is what we are trying to find. Let's call that angle, X.
My math is case sensitive.
X is the angle opposite to the side x.
Law of cosines formula is:
So we are looking for X.
We know x=11, a=4, and b=8 (it didn't matter if you called b=4 and a=8).
Subtract 80 on both sides:
Divide both sides by -64:
Now do the inverse of cosine of both sides or just arccos( )
[these are same thing]
Time for the calculator:
X=129.8 approximately
