We have been given that Maria put trim around a banner that is the shape of a triangle. Each side is 21 inches long.
The amount of trim will be equal to perimeter of triangle. The perimeter of given triangle will be 3 times each side length that is
inches.
Now we need to convert 63 inches into feet.
12 inches = 1 feet
63 inches =
feet = 5.25 feet.
We are also told that Maria has
foot of trim left, so total length of trim would be trim used plus trim left that is
feet.
Since we need to find length of trim in yards, so we will convert 6 feet into yards.
3 feet = 1 yard
6 feet =
yards = 2 yards
Therefore, the length of the trim was 2 yards.
(a) 4
(b) y = sqrt(9 - (9/16)x^2)
The best guess to the formula using knowledge of the general formula for an ellipse is:
x^2/16 + y^2/9 = 1
(a). An ellipse is reflectively symmetrical across both the major and minor axis. So if you can get the area of the ellipse in a quadrant, then multiplying that area by 4 would give the total area of the ellipse. So the factor of 4 is correct.
(b). The general equation for an ellipse is not suitable for a general function since it returns 2 y values for every x value. But if we restrict ourselves to just the positive value of a square root, that problem is easy to solve. So let's do so:
x^2/16 + y^2/9 = 1
x^2/16 + y^2/9 - 1 = 0
x^2/16 - 1 = - y^2/9
-(9/16)x^2 + 9 = y^2
9 - (9/16)x^2 = y^2
sqrt(9 - (9/16)x^2) = y
y = sqrt(9 - (9/16)x^2)
Answer:
$2.50
Step-by-step explanation:
Jake's total expenditure is ...
total = admission + c × (number of tickets)
36 = 13.50 + 9c . . . an equation to solve
4 = 1.50 +c . . . . . . . divide by 9
2.50 = c . . . . the cost of one ticket
Each ticket cost Jake $2.50.
Answer:
it 100 you would do 20%of 500 and you 100
Step-by-step explanation:
16.36 times 9 which equals to 147.51 minutes