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Leni [432]
3 years ago
10

A rectangular window is 1 meter high and 2 meters wide. What is the perimeter of the window in meters? What is it in centimeters

?
Mathematics
1 answer:
DIA [1.3K]3 years ago
8 0
The perimeter is the total length of all sides of the shape. 

It is 1 meter + 1 meter + 2 meter + 2 meter = 6 meters

1 meter = 100 centimeter

6(100) = 600 centimeter

Hope this helps! :)
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The student council sells short sleeves for $5 each and long sleeve for $6 each. The sell 20 t shirts for a total of $105. How m
Kryger [21]

Answer:the number of short sleeves shirt sold is 15

the number of long sleeves shirt sold is 5

Step-by-step explanation:

Let x represent the number of short sleeves shirt sold by the student council.

Let y represent the number of long sleeves shirt sold by the student council.

The student council sells short sleeves for $5 each and long sleeve for $6 each. They were sold for a total of $105. This means that

5x + 6y = 105 - - - - - - - - - -1

The total number of shirts sold is 20. This means that

x + y = 20

Substituting x = 20 - y into equation 1, it becomes

5(20 - y) + 6y = 105

100 - 5y + 6y = 105

- 5y + 6y = 105 - 100

y = 5

x = 20 - y = 20 - 5

x = 15

5 0
3 years ago
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
Find the slope of the line that passes through the points (–1, 6) and (2, 15)
11111nata11111 [884]

Answer:

m=3

Step-by-step explanation:

\frac{15-6}{2-(-1)} =\frac{9}{3} =3

7 0
3 years ago
In a study published on January 31, 2011 in The Proceedings of the National Academy of Sciences, researchers randomly assigned 1
Kaylis [27]

Answer:

d.

Step-by-step explanation:

Hello!

The objective of this test is to know if aerobic exercise modifies hippocampus activity. A random sample of 120 elderly men and women was taken and divided into two groups.

Group 1: Walked around a track three times a week.

Group 2: Did a variety of less aerobic exercises, including yoga and resistance training with bands.

After a year their brains were scanned showing that group 1 had an increase of 2% in their hippocampus and group 2 showed a decrease of 1.4%

a. True, this type of observational study can be the prelude to a more formal statistical study.

b. True, the explanatory variable is "type of exercise", it's the variable that the investigator suspects influence the hippocampus volume.

c. True, the objective of this experiment is to test if there is any modification on hippocampus volume, that's why the volume of the hippocampus was measured, before and after a year of exercise.

d. False, this is an observational study, you cannot establish a causal relationship between the two variables. Just inform you that there seems to be an association. To be able to generalize the results to all elderly population you need a more formal statistical experiment to support your conclusions.

I hope it helps!

5 0
3 years ago
2.199 rounded to the nearest whole number
steposvetlana [31]
Rounding 2.199. The tenths digit is 1, which is 4 or less, so you will round down. Re-write 2.199 without the decimal places: 2 . So 2.199 rounds to 2.
3 0
3 years ago
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