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Write the name of the period that has the digits 486

kogti [31]

1. <span>The name of period that has 486 in the given number which is 751 486 is hundreds.
period is considered to a group of places of the digits, like the given number 486 is the group of hundred because the highest number it contains is 400.
=> 400 + 80 + 6
=> 4 hundreds + 8 tens + 6 ones
=> 486
while 751 is the period of hundred thousands.
=> 700 000 + 50 000 + 1 000
=> 751 000

</span>

8 0

3 years ago

Zane needs 20 yards of fencing to go around his rectangular yard. What are possible dimensions for Zane's yard? Select all that

stiv31 [10]

Answer:

1 yard by 9 yards

2 yards by 8 yards

3 yards by 7 yards

4 yards by 6 yards

Step-by-step explanation:

the perimeter of the rectangular yard needs to be 20 yards

Perimeter of a rectangle = 2 x ( length + width)

20 = 2 x ( length + width)

( length + width) = 20 /2

( length + width) = 10

The sum of the length and width should equal 10

Possible dimensions that would equal 10 are :

1 yard by 9 yards

2 yards by 8 yards

3 yards by 7 yards

4 yards by 6 yards

7 0

3 years ago

A box has a volume of 192 cubic inches, a length that is twice as long as its width, and a height that is 2 inches greater than

ruslelena [56]

Answer:

Therefore the dimension of the cuboid is 8 inches×4 inches ×6 inches.

Step-by-step explanation:

Cuboid : A cuboid is a three dimension shape. The length ,breadth and height of a cuboid are not same.

A cuboid has 6 faces.
A cuboid contains 8 vertices.
A cuboid contains 12 edges .
The total surface area of a cuboid is

= 2(length×breadth+breadth×height+length×height) square units

The dimension of a cuboid is written as length×breadth×height.

The volume is( length×breadth×height) cubic units

Given that the volume of the box is 192 cubic inches.

Let x inches be the width of the cuboid.

Since the length is twice as long as its width.

Then length = 2x inches

Again height is 2 inches longer than width.

Then height = (x+2) inches.

Therefore the volume of the cuboid is

$=[x\times 2x\times (x+2)]$ cubic inches

$=[2x^2(x+2)]$ cubic inches

$=(2x^3+4x^2)$ cubic inches

According to the problem,

$2x^3+4x^2=192$

$\Rightarrow 2x^3+4x^2-192=0$

$\Rightarrow 2(x^3+2x^2-96)=0$

$\Rightarrow (x^3+2x^2-96)=0$

$\Rightarrow x^3-4x^2+6x^2-24x+24x-96=0$

$\Rightarrow x^2(x-4) +6x(x-4)+24(x-4)=0$

$\Rightarrow (x-4)(x^2+6x+24)=0$

Therefore x=4

Since the all zeros of x²+6x+24 =0 is negative.

Therefore breadth = 4 inches

length=(2×4) inches=8 inches

and height = (4+2)inches = 6 inches.

Therefore the dimension of the cuboid is 8 inches×4 inches ×6 inches.

8 0

3 years ago

Write the pair of fractions as a pair of fractions with a common denominator |

trapecia [35]

Answer:

3/10 and 2/5 = 3/10 and 4/10

1/3 and 3/4 = 4/12 and 9/12

Step-by-step explanation:

For 3/10 and 2/5

* Find the lcm (least common multiple) of the denominators which are 10 and

5. The multiples of 10 are: 10, 20, 30 etc and the multiples of 5 are: 5, 10 15,

etc. So, the lcm is 10. It is the smallest multiple that the denomitaotrs share.

* Next multiply the numerators (3 and 2) by whatever number you use to

multiply the denominator by to get 10. For 3/10, the denominator stayed the

same, so to get 10, you need to multiply 10 by 1. Do the same for the

numerator. 3 x 1 = 3. So, the first factor pair is 3/10.

* The second factor pair is 2/5, so we are still using the lcm of 10. So, what

do you need to multiply 5 by to get 10? The answer is 2. Now just multiply

the numerator (2) by 2 and you get 4. The second factor pair is now 4/10.

5 0

3 years ago

What are all of the different possible outcomes when two 4-sided dice are rolled?

Vinvika [58]

Step-by-step explanation:

first of all I don't think a 4 sided dice is even possible

but anyways

1 1

1 2 2 2

1 3 2 3

1 4 2 4

3 3 3 4

4 4

8 0

4 years ago