The answer should be 6(square root of)3 because in a 30 60 90 triangle the small leg is equal to half the length of the hypotenuse and the long leg is equal to the small leg times the square root of 3
Let the length be x
width = x - 8
Perimeter = Length + Length + Width + Width
x + x + x - 8 + x - 8 > 184
4x - 16 > 184
4x > 184 + 16
4x > 200
x > 50
Therefore:
Length > 50
Width > 50 - 8
Width > 42
Ans: Length > 50, Width > 42
Answer:
See explanation
Step-by-step explanation:
the length of a rectangle is 7 feet less than three times it’s width. if the area of the rectangle is 180 ft, find the dimensions of the rectangle.
Width = x
Length = 3x - 7
Area of a rectangle = length × width
180 = (3x - 7) * x
180 = 3x² - 7x
3x² - 7x - 180 = 0
Using quadratic formula
a = 3
b = -7
c = -180
x = -b ± √b² - 4ac / 2a
x = -(-7) ± √(-7)² - 4(3)(-180) / 2(3)
x = 7 ± √49 - (-2160) / 6
= 7 ± √49 + 2160 / 6
x = 7 ± √2209/6
= 7 ± 47 / 6
= (7 + 47)/6 or ( 7 - 47)/6
= 54/6 or -40/6
x = 9 or -6.67
x cannot be negative
Therefore,
x = 9 ft
Width = x = 9 ft
Length = 3x - 7
=3(9) - 7
= 27 - 7
= 20 ft
Answer:
y = 4.375x + 2.5
Step-by-step explanation:
The equation of the line is expressed as y = mx+c
m is the slope
c is the intercept
Using the coordinate points (0, 2.5), (4, 20)
Slope m = 20-2.5/4-0
m = 17.5/4
m = 4.375
Get the intercept
Substitute (0, 2.5) and m = 4.375 into y - mx+c
2.5 = 4.375(0) + c
2.5 = c
Get the equation required
y = 4.375x + 2.5
Answer:
r = 22.5
Step-by-step explanation:
R = D/2 = 45/ 2 = 22.5
