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3 years ago

What is the factor of 360

Mathematics

2 answers:

VashaNatasha [74]3 years ago

6 0

Answer:

The factors of 360 are 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, and 360.

Klio2033 [76]3 years ago

5 0

Answer:

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180 and 360, making a total of 24 divisors. 360 is a highly composite number.

Step-by-step explanation:

23 × 32 × 5

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Consider the following problem: A farmer with 950 ft of fencing wants to enclose a rectangular area and then divide it into four

shutvik [7]

Answer:

Largest possible total area of the four pens is $22562.5\:ft^{2}$

Step-by-step explanation:

Assume width as x and length as y. Given that length of fencing is 950 feet which encloses rectangular area which is divided into four pens as shown in diagram ( Refer to attachment),

So perimeter of the rectangular area as per diagram is given as,

Perimeter = width + width + width + width + width + length+ length

Substituting the value,

$950=x+x+x+x+x+y+y$ ….1

Now area of rectangular diagram is given as follows,

$A=xy$ ….2

Solving equation 1 for y, subtracting 2x from both sides,

$\dfrac{950-5x}{2}= y$

$475-\dfrac{5x}{2}= y$

Substituting the value in equation 2,

$A=x\left(475-\dfrac{5x}{2}\right)$

Simplifying

$A=475x-\dfrac{5x^{2}}{2}$

To find the largest possible area, differentiate A with respect to x,

$\dfrac{dA}{dx}=\dfrac{d}{dx}\left(475x-\dfrac{5x^{2}}{2}\right)$

Applying sum rule of derivative,

$\dfrac{dA}{dx}=\dfrac{d}{dx}\left(475x\right)-\dfrac{d}{dx}\left(\dfrac{5x^{2}}{2}\right)$

Applying constant multiple rule of derivative,

$\dfrac{dA}{dx}=475\dfrac{d}{dx}\left(x\right)-\dfrac{5}{2}\dfrac{d}{dx}\left(x^{2}\right)$

Applying power rule of derivative,

$\dfrac{dA}{dx}=475\left(1x^{1-1}\right)-\dfrac{5}{2}\left(2x^{2-1}\right)$

$\dfrac{dA}{dx}=475\left(x\right)-\dfrac{5}{2}\left(2x\right)$

$\dfrac{dA}{dx}=475-5x$

Now find the critical number by solving as follows,

$\dfrac{dA}{dx}=0$

$475-5x =0$

$475=5x$

$95=x$

Since there is only one critical point, directly substitute the value of x into equation of A,

$A=475\left(95\right)-\dfrac{5\left(95\right)^{2}}{2}$

Simplifying,

$A=45125-\dfrac{45125}{2}$

$A=\dfrac{45125}{2}$

So, the largest possible area is $22562.5\:ft^{2}$

3 0

4 years ago

Question 2

Llana [10]

Hi here are the answers:)

Part A:

x = 3

Part B:

A = (3, 2)

Part C:

You can find the vertex by finding the mid-point of the focus and directrix. So the vertex is (-1, 2)

Part D:

The parabola opens left. This is because the parabola always opens toward the focus.

Part E:

The value of p is the distance from the focus to the vertex or the vertex to the directrix. To find p you can minus x-coordinate of focus with x-coordinate of the directrix, then divide it by 2. So this will be: -5-2/2 = -4

Part F:

p = -4

Part G:

$x=\frac{1}{4*-4}(y-2)^{2}-1$

Part H: image is attached down below. Fyi the C should be V (vertex)

Part I:

$x=\frac{1}{16} (y-2)^{2}-1$

*I'm not really sure about this one*

Part J:

1. x = 1/4 (y-3)>2+3

2. x = 1/12 (y +1)>2 +5

*I'm not really sure about this one either srry:(*

Hope this helped bai bye.

8 0

3 years ago

Which of the following could be represented by -8?

Llana [10]

Option A: drop of 8 meters would be correct because a drop in this case indicates something has been removed. -8 equals 8 below 0.

8 0

3 years ago

Khloe goes into a snack bar with exactly $20.00. She buys five bottles of water that cost $1.58 each and a pack of gum that cost

sveta [45]

Answer:

$15.25

Step-by-step explanation:

1.58 x 5 = 7.90 + 0.80 = 8.70

7.90 / 2 = 3.95

20 - 8.70 = 11.30 + 3.95 = 15.25

(If this is wrong please tell me!)

5 0

3 years ago

Which box and whisker plot matches the data 20, 32, 19, 12, 28, 34, 29, 36, 20, 15, 30, 17

jasenka [17]

Answer:

See attached images.

Step-by-step explanation:

The minimum of the data set is 12.

Maximum is 36.

Median is 24.

First quartile Q1 = 18

Third quartile Q3 = 31

5 0

3 years ago

What is the factor of 360​

What is the factor of 360