Answer:
perimeter = 107.4 m
area = 640.82 m²
Step-by-step explanation:
The line connecting the the centers of the adjacent sides of the garden is 20 m long. The line is a diagonal that forms an hypotenuse sides of a triangle.
The length of side of the rectangle has a ratio of 1 : 2. This means one side has a length a meters and the other 2a meters.
Pythagoras theorem can be use to get a since a right angle is formed due to the diagonal.
(a/2)² + (2a/2)² = 20²
(a/2)² + (a)² = 20²
a²/4 + a² = 400
(a² + 4a²)/4 = 400
5a²/4 = 400
cross multiply
5a² = 1600
a² = 1600/5
a² = 320
square root both sides
a = √320
a = 17.88854382
a ≈ 17.90
The required length is a = 17.90 m and the other side will be 17.90 × 2 = 35.80 m.
Area = length × breadth
area = 17.90 × 35.80 = 640.82 m²
perimeter = 2(l + b)
perimeter = 2(35.80 + 17.90)
perimeter = 2(53.7)
perimeter = 107.4 m
Answer:
(3;4); (-3;-4); (3;-4); (-3;4)
Step-by-step explanation:
for more information see the attached picture.
To answer this question, we begin to transform the speed of revolutions per minute in radians per minute.
They tell us that the speed of the wheel is 3 turns in 6 minutes.
So:
1 revolution = 2π
(2π / 1 turn) * (3 turns / 6min) = 6π/ 6min = 1π / min.
The wheel turns π or 180 ° in one minute.
We already have the angular velocity w.
We know that the lowest point of the wheel is 4 meters above the ground and that it returns to the same point every 2π
Therefore, the function sought is periodic and must be equal to 4 for allvalues of time k, where k is an even number 2, 4, 6, 8, .., k
Then the function must have the form rsin(wt) where "t" is the elapsed time, "w" is the previously calculated angular velocity, and "r" is the radius of the wheel.
The minimum value of the function must be 4 and the maximum value 54.
Therefore, the function is:
h (t) = 4 + 25 + 25sin (π×t + 3π / 2)
Where 3π/ 2 is the phase angle, which indicates that the movement starts at the instant t = 0 at the lowest point of the wheel that equals 3π / 2.
You can verify the answer in the following way:
After 1 minute, the wheel should have rotated 180 ° or π. Therefore, the person must be at the highest point of the wheel and his height must be 54 m.
When you replace t = 1 in the formula, you get h = 54m
After 2 minutes, the wheel should have rotated 360 ° or 2π. Therefore, the person must be at the starting point and their height must be 4 m.
By replacing t = 2 in the formula you will get h = 4m
After 0.5 minutes, the wheel should have rotated 90 ° or π / 2. Therefore, the person must be in the right half of the wheel and his height must be 29 m.
When replacing t = 0.5 in the formula you will get h = 29m
Answer:
Step-by-step explanation:
15/3= 5
Orrrr
15/-3=-5
Answer:
4%
Step-by-step explanation:
First, we turn this into a fraction:
3/75 = 1/25 = 4%
So 3 is 4% of 75
