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Sphinxa [80]
3 years ago
10

Jada is putting a border around her rectangular garden. The garden is 12.63 meters long and 3.28 meters wide.

Mathematics
1 answer:
Sergio [31]3 years ago
6 0

Answer/Step-by-step explanation:

Length of rectangular garden = 12.63 m

Width of rectangular garden = 3.28

Part A: Perimeter of garden if the length and height is rounded to nearest whole number.

12.63 rounded to nearest whole number = 13

3.28 rounded to nearest whole number = 3

Equation that shows her estimate would be: C. 13 + 3 + 13 + 3 = 32 meters

Part B: Perimeter of garden if the length and height is rounded to nearest tenth.

12.63 rounded to nearest tenth = 12.6

3.28 rounded to nearest tenth = 3.3

Equation that shows this estimate would be: B. 12.6 + 3.3 + 12.6 + 3.3 = 31.8 meters

Part C: Exact Perimeter of her garden.

Exact perimeter would be 12.63 + 3.28 + 12.63 + 3.28 = 31.82 meters

Part D:

Difference between 31.82 and the exact perimeter is 0.02, while difference between 32 and the exact perimeter is 0.18.

Therefore:

The numbers rounded to the nearest TENTH are closer because 31.8 meters is closer to the exact perimeter than 32 meters.

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Find the x-coordinates where f '(x) = 0 for f(x) = 2x - sin(2x) in the interval [0, 2π].
Serggg [28]

Answer:

The x-coordinates where f '(x) = 0 for f(x) = 2x - sin(2x) in the interval [0, 2π] are: x=0, π, and 2π.


Step-by-step explanation:

f(x)=2x-sin(2x)

f'(x)=[f(x)]'

f'(x)=[2x-sin(2x)]'

f'(x)=(2x)'-[sin(2x)]'

f'(x)=2-cos(2x) (2x)'

f'(x)=2-cos(2x) (2)

f'(x)=2-2 cos(2x)


f'(x)=0, then:

2-2 cos(2x)=0

Solving for x. First solving for cos(2x): Subtracting 2 from both sides of the equation:

2-2 cos(2x)-2=0-2

-2 cos(2x)=-2

Dividing both sides of the equation by -2:

-2 cos(2x) / (-2)=-2 / (-2)

cos(2x)=1

If cos(2x)=1, then:

2x=2nπ

Dividing both sides of the equation by 2:

2x/2=2nπ/2

x=nπ


If n=-1→x=-1π→x=-π, and -π is not in the interval [0,2π], then x=-π is not in the solution.

If n=0→x=0π→x=0, and 0 is in the interval [0,2π], then x=0 is in the solution.

If n=1→x=1π→x=π, and π is in the interval [0,2π], then x=π is in the solution.

If n=2→x=2π, and 2π is in the interval [0,2π], then x=2π is in the solution.

If n=3→x=3π, and 3π is not in the interval [0,2π], then x=2π is not in the solution.


Solution: x=0, π, and 2π.

5 0
3 years ago
the ratio of men and women in a certain factory is 3 to 4. there are 198 men. How many workers are there?
LUCKY_DIMON [66]

3 men

4 women

7 total


3 men/ 7 total = 198 men/ x total

using cross products

3*x = 7 * 198

divide each side by 3

x = 7*198/3

x = 462

There are 462 workers


If you mean 3 men and 1 women for a total of 4 workers when you state a  ratio of men and women in a certain factory is 3 to 4.

3/4 =198/x

Using cross products

3x = 4* 198

Divide each side by 3

3x/3 = 4*198/3

x =264

264 workers


It all depends on how you define ratio of men and women in a certain factory is 3 to 4.   This is incorrect phrasing and I took it to be men to women.   You cannot have a ratio of men and women.




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Answer:

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1/4 equals 0.25 gallons, 1/2 gallons is 0.5, so Will will have a mix of 0.75 gallons. If each serving is 1/16 and 1/16 equals 0.0625, divide 0.75 by 0.0625 = 12 servings.

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