2. The ceiling of Katie's living room is a square that is 10 ft long on each side. Katie knows the diagonal of the
ceiling from comer to comer must be longer than 10 ft, but she doesn't know how long it is.
Solve for the length of the diagonal of Katie's ceiling in two ways. Be sure to show your work for each method.
Round to the nearest whole number. Your answers should be the same.
a. Using the Pythagorean Theorem
b. Using trigonometry ratios (Hint: what angle is formed when you cut the square diagonally?)

What is the quadric regression equation that fits these data

Which mathematical statements are true? 1) if 3 is an odd number, then 3 times 3 is an even number. 2) if 6 is less than 7, then 4 is greater than 7. 3) six is divisible by 3, and 10 is a multiple of 2. 4) the average of the data is greater than the largest value in the data, or it’s less than the largest value in the data. 5) the slope of a linear graph is its rate of change, and the graph’s y-intercept is the initial value. 6) if an equilateral triangle has equal angles, then all its angles will measure 45°.

Galen sold tickets of his church’s carnival for a total of $2,820. children’s tickets cost $3 each and adult tickets cost $5 each. the number of children’s tickets sold was 30 more than 3 times the number of adult tickets slod. how many children’s ticket and how many adult tickets did he sell?