Missing info: The width of the patio is 3/4 its length.
Given:
Area = 432 square feet.
length = x
width = 3/4 * x
Area of a rectangle = Length * width
432 ft² = x * 3/4 * x
432 ft²/3/4 = x²
432 ft² * 4/3 = x²
576 = x²
√576 = √x²
24 = x
Length is 24 ft.
Width = 3/4 * 24ft
Width = (3*24)/4
Width = 72/4
Width = 18 ft.
i have this question rn please i need help by any chance if u got the answers
Step-by-step explanation:
1 the equation is y=x+3 and yes y is directly proportional to x
2 the answer is c
3 the answer is c
4 the answer is b
Step-by-step explanation:
Given (2x + 23), (8x + 2) and (20x - 52) are three consecutive terms of an arithmetic sequence.
(8x + 2) - (2x + 23) = (20x - 52) - (8x + 2)
or, 6x - 21 = 12x - 54
or, 12x - 6x = - 21 + 54 = 33
or, 6x = 33
or, 2x = 11
∴ x = 11/2
∴2x + 23 = 2 × 11/2 + 23 = 34
8x + 2 = 8 × 11/2 + 2 = 46 and
20x - 52 = 20 × 11/2 - 52 = 110 - 52 = 58
34, 46 and 58 are three consecutive terms of an arithmetic sequence.
∴ Common difference(d) = 46 - 34 = 58 - 46 = 12, it is proved.
Hence, the common difference of the sequence is 12.
Answer:
The equation for height is
Step-by-step explanation:
we are given
An iron ball is bobbing up and down on the end of a spring
So, height function must be trigonometric in nature
So, we can use formula
now, we can find A , B and D
Calculation of A:
maximum height 46 inch
minimum height =18 inch
so,
Calculation of B:
It takes the ball 2 seconds to go from its maximum height to its minimum height
So, half of time period is 2 sec
now, we can use period formula
we can find B
Calculation of D:
Max=46
min=18
now, we can plug these values into formula
and we get