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Assoli18 [71]
2 years ago
12

Bill runs 400 meters to Andy's house,turns around,and runs 400 meters back home.what was bill displacement?

Mathematics
1 answer:
Fynjy0 [20]2 years ago
8 0

Answer:

speed = distance/time

= 400/267

= 1.49

1.5

i hope this is right lol  good luck

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2 years ago
A piece of wire 11 m long is cut into two pieces. One piece is bent into a square and the other is bent into an equilateral tria
forsale [732]

Answer:

11 meters

Step-by-step explanation:

First, we can say that the square has a side length of x. The perimeter of the square is 4x, and that is how much wire goes into the square. To maximize the area, we should use all the wire possible, so the remaining wire goes into the triangle, or (11-4x).

The area of the square is x², and the area of an equilateral triangle with side length a is (√3/4)a². Next, 11-4x is equal to the perimeter of the triangle, and since it is equilateral, each side has (11-4x)/3 length. Plugging that in for a, we get the area of the equilateral triangle is

(√3/4)((11-4x)/3)²

= (√3/4)(11/3 - 4x/3)²

= (√3/4)(121/9  - 88x/9 + 16x²/9)

= (16√3/36)x² - (88√3/36)x + (121√3/36)

The total area is then

(16√3/36)x² - (88√3/36)x + (121√3/36) + x²

= (16√3/36 + 1)x² -  (88√3/36)x + (121√3/36)

Because the coefficient for x² is positive, the parabola would open up and the derivative of the parabola would be the local minimum. Therefore, to find the maximum area, we need to go to the absolute minimum/maximum points of x (x=0 or x=2.75)

When x=0, each side of the triangle is 11/3 meters long and its area is

(√3/4)a² ≈ 5.82

When x=2.75, each side of the square is 2.75 meters long and its area is

2.75² = 7.5625

Therefore, a maximum is reached when x=2.75, or the wire used for the square is 2.75 * 4 = 11 meters

3 0
3 years ago
The shop charges $60 per hour and 7% sales tax on parts (no tax on labor). The total cost of the repair is $180.80. A. True B. F
Dmitry_Shevchenko [17]
The right answer if false
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2 years ago
Which of these triangles are right triangles?
Vlad [161]

Answer:

the right triangles are B,C,D

6 0
2 years ago
Read 2 more answers
60 POINTS!!!! PLEASE HELP URGENT
sammy [17]

Using linear combination method to solve the system of equations 3x - 8y = 7  and x + 2y = -7 is (x, y) = (-3, -2)

<h3><u>Solution:</u></h3>

Given that, a system of equations are:

3x – 8y = 7 ⇒ (1) and x + 2y = - 7 ⇒ (2)

We have to solve the system of equations using linear combination method and find their solution.

Linear combination is the process of adding two algebraic equations so that one of the variables is eliminated. Addition or subtraction can be used to perform a linear combination.

Now, let us multiply equation (2) with 4 so that y coefficients will be equal numerically.

4x + 8y = -28 ⇒ (3)

Now, add (1) and (3)  

3x – 8y = 7  

4x + 8y = - 28  

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

7x + 0 = - 21  

7x = -21  

x = - 3  

Now, substitute "x" value in (2)

(2) ⇒ -3 + 2y = - 7  

2y = 3 – 7  

2y = - 4  

y = -2

Hence, the solution for the given two system of equations is (-3, -2)

3 0
3 years ago
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