Brandon bought snacks for his team's practice. He bought a bag of popcorn for $2.11 and a 6-pack of juice bottles. The total cost before tax was $11.41. Write and solve an equation which can be used to determine x, how much each bottle of juice costs?

Answer:

Its B  270 square feet

Step-by-step explanation:

The solution is 270 square feet. There are 3 feet in 1 yard, and 9 square feet in 1 square yard. Therefore, we can multiply 30 by 9 to get a total of 270 square feet.

Answer:

Option B. 127.3 ft.

Step-by-step explanation:

In the diagram attached, we can see the locations of 1st base, 2nd base, 3rd base and Home plate.

Since these four points form a square of which diagonals are equal in size.

So if we find the distance between 1st and 3rd base that will be equal to the distance between Home plate to the second base.

By applying "Pythagoras Theorem"

Distance between 2nd base and Home plate =

= 90 × 1.414 = 127.3 ft.

The distance from second base to home plate is 127.3 ft.

The answer is 127.3 feet

Answer:

Step-by-step explanation:

The parametrical components of the curve are:

and

After some trigonometrical and algebraic handling, the parametrical variable is eliminated in the resulting expression:

Final answer:

To eliminate the parameter and find the Cartesian equation of the curve x = 7sin⁡θ,y = cos2⁡θ, we can express x in terms of θ, rearrange the equation, and substitute it into the other equation to eliminate the parameter θ. The resulting equation 2(x/7)² + y - 1 = 0 represents the Cartesian equation of the curve.

Explanation:

To eliminate the parameter and find the Cartesian equation of the curve, we can express x in terms of θ using the given equation x = 7sin⁡θ. Rearranging this equation, we get sin⁡θ = x/7. Similarly, we can express y in terms of θ using the given equation y = cos2⁡θ, which can be rewritten as cos⁡(2θ) = y.

Now we can use the trigonometric identity cos⁡(2θ) = 1 - 2sin²⁡θ to eliminate θ from the equations. Substituting this identity into the second equation, we get 1 - 2(sin⁡θ)² = y.

Simplifying this equation, we have 2(sin⁡θ)² + y - 1 = 0. Finally, we can express sin⁡θ in terms of x using the equation sin⁡θ = x/7, and substitute it into the simplified equation to eliminate θ. This gives us 2(x/7)² + y - 1 = 0, which represents the Cartesian equation of the given curve.

Learn more about Eliminating the Parameter here:

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