1.8x-5.4=30 add 5.4 to each side
1.8x=35.4 divide every side by 1.8
x=354/18
x≈19.67
Thus, 20 would serve as a solid approximation for x.
Dimensions of the rectangle are defined as Length=2x
Width=x
The formula for perimeter is given by 2(Length) + 2(Width).
First, we need to determine the dimensions of the rectangle, specifically its length and width.
We can derive this equation:
24=2(2x)+2(x)
4x+2x=24
6x=24
x=24/6
x=4
Consequently, Length becomes 2x, leading to 2(4)=8.
Therefore, the length is 8 inches and the width is 4 inches.
Next, we will calculate the area of the rectangle.
The area can be computed as Length multiplied by Width.
Area=(8 in)(4 in)=32 in²
Conclusion: The area of Marshall's rectangular poster is 32 in².
Response:
Dimensions of the rectangular fence:
x = 14 ft
w = 7 ft
A = 98 ft²
Detailed explanation:
Dimensions of the rectangular fence:
x = length, and w = width
Then x = 2*w ⇒ w = x/2
Perimeter is
p = 2*x + 2*w
p = 2*x + 2* x/2
p = 2*x + x
3*x = 42
x = 14 ft and w = 14/2 ⇒ w = 7 ft
The triangle's vertex coordinates are (–8, 8), (–8, –4), and (10, –4). QR serves as the base of this triangle, measuring b = 18 units, with a height of h = 12 units. The area of triangle PQR is 108 square units.
The result is 0.0129. The data to consider includes the mean and standard deviation for the random variable associated with the fleets' ages. Calculating the Z-score for x = 14 and using the standard normal distribution table yields the probability that the average age of the 40 sampled airplanes is at least 14 years, rounded to four decimal places as 0.0129.
