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Delvig [45]
3 years ago
13

Is 563 divisibly by 4

Mathematics
2 answers:
alisha [4.7K]3 years ago
6 0

Answer:

563 is not divisible because if you divide you get 187.6667777 and for it to be divisible it needs to be a whole number

Step-by-step explanation:

marusya05 [52]3 years ago
3 0

Answer:

No

Step-by-step explanation:

To be divisible by 4 the last two digits have to be divisible by 4

so

is 63 divisibly by 4?

no

because is odd and four is even

so we can conclude that 563 is not divisible by 4

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5

Step-by-step explanation:

you need to look at how far it is from a m=number line to find the absolute value

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Answer:

1

Step-by-step explanation:

3^3/5-3-(4-2)^2/2

3^3/3-2^2/2

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=1

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What is the distance between y=x-11 and y=x-7
gladu [14]
You only need to look at the y intercepts.
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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
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