To find the total mass you will add the following masses together:
1/4 + 1/4 + 2/4 + 2/4 + 2/4 + 3/4 + 3/4
For every X you list the number that many times.
The sum is 14/4 or 3 2/4 or
3 1/2.
The answer is choice D.
Answer:
Step-by-step explanation:
see the attached figure to better understand the problem
Remember that
An isosceles triangle has two equal sides and two equal interior angles
In the isosceles triangle ABC
Applying the Pythagorean Theorem
Let
b ----> the length of the tents base
simplify
(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)
Let the original price be p.
Then the sale price was (1.00-0.18)p, or 0.82p.
Emerson must pay tax on this sale price. It is 0.08(0.82p) = 0.0656p.
Thus, the final cost of the game was 0.82p + 0.0656p = 0.886p.
For this case, the first thing we are going to do is define variables.
We have then:
x: number of birthday party goozy bags
y: total weight
We then have the following equation:
y = 150x + 200
For y = 6200 we have:
6200 = 150x + 200
Clearing x:
x = (6200-200) / (150)
x = 40
Answer:
there are 40 goody bags inside the box
