How much did the apples cost altogether

I WILL GIVE BRAINLIST IF ALL ANSWERED CORRECTLY

pentagon [3]

Answer:

The length of the track is approximately 51.7 ft

The track has three sides of the square and the distance round a half of a complete circle

Step-by-step explanation:

The given track shape and measurements are;

The shape on the left side of the track = Square

The shape on the right side of the track = Half circle

The area of the square on the the left side of the track = 128 square feet

Therefore, from the area, A, of a square of side length, s, which is s × s, and letting the side length of the square = s, we have;

Area of the square portion of the track = s × s = s² = 128 ft²

Therefore, s = √(128 ft²) = 8·√(2) ft.

Whereby the side length of the square is bounded by the diameter of the half circle, we have;

Length of the diameter of the half circle = s = 8·√(2) ft.

The length of the perimeter of the half circle = π·D/2 = π × 8·√(2)/2 = π × 4·√(2) ≈ 17.77 ft.

The perimeter of the track, which is the length of the track is made up of the three sides of the square opposite to the half circle and the circumference of the half circle.

Therefore;

The length of the track = 3 × 8·√(2) ft + π × 4·√(2) ft. = 4·√2×(π+6) ≈ 51.7 ft

The length of the track ≈ 51.7 ft

Which gives;

The track has three sides of the square and the distance round a half of a complete circle.

4 0

3 years ago

Solve the system of equations by graphing. Check your solution. 5x+y=14 2x-y=7

Fudgin [204]

ANSWER

(3,-1)

EXPLANATION

The given system of equations is :

5x+y=14

2x-y=7

For the first equation when x=0,

5(0)+y=14

y=14

The y-intercept is (0,14).

When y=0, 5x+0=14

$x = \frac{14}{5} = 2 .8$

The x-intercept is (2.8,0).

We plot the intercepts and draw a straight line through them to obtain the graph of 5x+y=14 as shown in the attachment.

We repeat the same process for the second equation 2x-y=7.

The intercepts are (0,-7) and (3.5,0)

The solution to the system is the point of intersection of the two straight lines.

The two straight lines intersected at

(3,-1)

Hence x=2, y=-1

6 0

4 years ago

Which equation describes the graphed function?

Oxana [17]

Using translations, it is found that the equation the represents the graphed function is:

$y = -f(x) - 3$ , given by option C.

----------------------------------

The parent function is $f(x) = \sqrt{x}$ .
As x increases, it's value increases. In the graph, as x increases, it decreases, thus it was multiplied by -1, that is, $-f(x)$ .
The parent function is defined for $x \geq 0$ , and the same is valid for the function in the graph, thus we have $f(x)$ and not $f(-x)$ .
The initial value of the parent function is $y = 0$ , here it is $y = -3$ , thus it was shifted down 3 units, that is, $y = -f(x) - 3$ , and the correct option is C.