Answer:
Let x be the number
double x = 2 x
square the result (2x)^2
(2x)^2 - x subtract the original number
4 x^2 - x = 33
4 x^2 - x - 33 = 0
Solve the quadratic
(1 +- (1 + 4 * 132)^1/2) / 8
= (1 + 528^1/2) / 8 = (1 + 23) / 8 = 3 using the positive exponent
Check:
(2 * 3)^2 - 3 = 36 - 3 = 33
Im assuming that's a regular octagon. The sum of the angles in an octagon is 1080, so that means each individual angle is 135.
m<1 = 135.
Not completely sure how to get the others. Is there any information on the triangles or the octagon that isn't included in the picture? Lmk if you do and I can solve the rest
Just find the surface area. 5*7=35, but 35*2=7<span>0</span>, because the top and bottom. Then do 7*3*2=42, for 2 parallel sides, and then 3*5*2=30. Now add 70+30+42=142 square inches. There's your answer.
The answer is 3/4..............
Ok so we know that student tickets cost $5, and adult tickets cost $8. We also know that the total no. of tickets sold was 150.
Let's make the amount of student tickets sold be S, and the no. of adult tickets sold be A.
We know that tickets sales amounted to $1,020, so:
8A + 5S = 1020
And:
A + S = 150. Multiply this by 5;
5A + 5S = 750
When you subtract the two equations;
(8A+5S) - (5A+5S) = 1020-750
So 3A = 270
A = 90
So 90 adult tickets were sold.
S = 150 - 90
= 60
So 60 student tickets were sold (although you don't need this as part of your answer)
Hope this helped
