Por favor alquien me ayuda

We are going to fence in a rectangular field. If we look at the field from above the cost of the vertical sides are $10/f t, the

Brut [27]

Answer:

Dimensions are 350/9 ft and 17.5 ft

Step-by-step explanation:

We are given the cost per ft of all the 4 sides. Let the horizontal be x and the vertical be y.

Now, we will set up the constraint and equation that we are being asked to maximize.

Thus;

700 = 10y + 10y + 7x + 2x

700 = 20y + 9x

Maiking y the subject, we have;

y = (700 - 9x)/20

y = 35 - 9x/20

Now,area of a rectangle is: A = xy

Thus, A = x(35 - 9x/20))

A = 35x - 9x²/20

We can get the critical points by finding the derivatives and Equating to zero

Thus;

dA/dx = 35 - 0.9x

At dA/dx = 0,we have; x = 350/9

At d²A/dx², we have;

d²A/dx² = -0.9

This is negative, thus we will disregard and use the one gotten from the first derivative.

Thus, we will use x = 350/9 ft

Plugging this into the equation y = 35 - 9x/20, we have;

y = 35 - ((9 × 350/9)/20)

y = 17.5 ft

7 0

4 years ago

Verify sin(360º - θ)= -sin θ<br> Show your work

Mekhanik [1.2K]

Answer:

A nice way to show it is through the unit circle.

In the unit circle, the point at angle theta from the origin has a y value of sin theta.

If you rotate a point 360-theta degrees from the origin, that is like rotating it theta degrees "backwards", or downwards, which is going to yield the same exact point, reflected through the x-axis. In other words, the y value, or sin(360-theta), is exactly -sin(theta).

4 0

3 years ago

Read 2 more answers

What is four fifths plus eight ninths

Jobisdone [24]

4/5 + 8/9. First we have to find a common denominator for $\frac{4}{5}$ and $\frac{8}{9}$ . $\\ \frac{4*9}{5*9}= \frac{36}{45} \ and \ \frac{8*5}{9*5}= \frac{40}{45} \\$ Now we are going to add: $\frac{36}{45}+ \frac{40}{45}= \frac{76}{45}$ Make $\frac{76}{45}$ a mixed number: $\frac{76}{45}=1 \frac{31}{45}$ So the answer is $\boxed{1 \frac{31}{45}}$

6 0

3 years ago

I don’t understand how to do this

kherson [118]

For Part A, you need to input x=6 into the equation 8x + 8 = 56 to see if 6 is a solution of that equation. It'll be 8(6) + 8 = 56 -> 48 + 8 = 56 -> 56 = 56. Does 56 equal 56? Then yes, x = 6 is a solution of the equation 8x + 8 = 56.

For Part B, it changed the value of x from 6 to 9. It also states that the left side of the equation (left side of the equal sign) stays the same so it'll still be 8x + 8. You do what you did in Part A, but instead of inputting 6, you do 9. It'll be like this: 8(9) + 8. It's asking how the right side would change, but that's basically asking what the answer is. If you do the math correctly, it'd be 72+8, which would be 80. The right side would need to be 80 if the solution is now x = 9.

7 0

3 years ago

A paper cup is dropped and it’s landing position is recorded. The cup can land in the side, on the open end, or on the closed en

Likurg_2 [28]

Answer:

The probability of landing in the closed end is greater, choice C.

Step-by-step explanation:

Experimental probability is evaluated as; the number of favorable outcomes/number of trials. Therefore, the experimental probability of the cup landing on its open end is given by; 5/20 = 0.25 while the experimental probability of the cup landing on its closed end is given by; 8/20 = 0.4 which is greater than 0.25.

5 0

3 years ago