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ella [17]
3 years ago
6

Perimeter of a square with side 4 square root of 5

Mathematics
1 answer:
Darya [45]3 years ago
7 0

Answer:

16\sqrt{5}

Step-by-step explanation:

4\sqrt{5}+4\sqrt{5}+4\sqrt{5}+4\sqrt{5}

16\sqrt{5}

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Answer this question please.​
grandymaker [24]

Answer:

x = 11

Step-by-step explanation:

We know that vertical angles (opposite angles when two lines cross), are equal.

2x - 6 = 6x - 50

4x = 44

x = 11

3 0
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
Two containers designed to hold water are side by side, both in the shape of a cylinder. Container A has a radius of 12 feet and
Karolina [17]

Answer:

Step-by-step explanation:

Container A = 75.36 x 17 = 1,281.12

Container B = 62.8 x 18 = 1,130.4

1,281.12 - 1,130.4 = 150.72 is left in container A.

So, 1,130.4 was taken out of it.

1,281.12 divided by 1,130.4 = 1.13

move the decimal over two to the right. Or times it by 100.

113%

5 0
2 years ago
PLEASE HELP!!! THANK YOU!!!
notka56 [123]

Answer:

A. 4%

Step-by-step explanation:

remember that there are 52 weeks in a year, so multiply 1000 by each answer, then multiply what you get by 52 to see if it is either below 2000 or just above 2000, and you'll see how i got 4%.

3 0
3 years ago
Please help me ASAP!!! Thank you!!
Airida [17]

Answer:

Y≤-3/4x+2

Step-by-step explanation:

less than because the bottom of the line is shaded

equal to because the line is solid

slope you go down three and go right four which is negative

y intercept is where x=0

5 0
3 years ago
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