1))<br> Which fraction is equivalent to<br> ?

The equation x2 16 + y2 9 = 1 defines an ellipse, which is graphed above. in this excercise we will approximate the area of this

Citrus2011 [14]

(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)

4 0

2 years ago

Jessie earns $12 an hour.How much will he earn in 12 hours

Stels [109]

Answer:

$144

Step-by-step explanation:

since Jessie earns $12 an hour, if he works 12 hours, multiply the amount per hour by the amount of hours worked.

12 x 12 = 144

Therefore, Jessie will earn $144 in 12 hours

8 0

2 years ago

Read 2 more answers

Find the volume of the following cylinder using its net.

lord [1]

Answer:

226.08 yd 3

Step-by-step explanation:

3 0

2 years ago

Real numbers worksheet<br> Help please and ty

Rina8888 [55]

Answer:

1. 30 → real, rational, integer, whole number, natural number

2. •11 → real, irrational

3. 5 ⁴/7 → real, rational, integer

4. √21 → real, irrational

5. 0 → real, rational, integer, whole, natural

6. -√9 → real, rational, integer, whole

7. 6/3 → real, rational, integer, whole, natural

8. π → real, irrational

9. 5⅔ → real, rational, integer

Step-by-step explanation:

$.$

7 0

3 years ago

Georgina ran 3/8 mile in 3 minutes. How many miles does she run per minute?

Pachacha [2.7K]

In the given question we can see that the information,Georgina ran a distance of 3/8 mile in 3 minutes is already provided.
So
In 3 minutes Georgina can run a distance of = 3/8 miles
Then In 1 minute Georgina can run a distance of = 3/(8 * 3) miles
= 3/24 miles
= 1/8 miles.
So it can be said now that in 1 minute the distance that Georgina can cover is 1/8 miles. If required it can be converted to decimal value as well.

6 0

2 years ago

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1)) Which fraction is equivalent to ?