Answer:
Width = 26 inches
Step-by-step explanation:
The area of the rectangle is:
area = (length*width)
416 = a*b
a = b/2 + 3
a = length
b = width
then:
416 = (b/2 + 3) (b)
416 = b*b/2 + b*3
416 = b²/2 + 3b
0 = b²/2 + 3b - 416
b = {-(+3)±√((3²)-(4*1/2*-416))} / (2*1/2)
b = {-3±√(9+832)} / 1
b = {-3±√841}
b = -3±29
only take the positive value becuse is a natural number
b = -3+29
b = 26 inches
a = b/2 + 3
a = 26/2 + 3
a = 13 + 3
a = 16 inches
Check:
416 = 16 * 26
Answer:
Volume of the solid figure = 1131 cubic inches
Step-by-step explanation:
Volume of solid figure = Volume of half cylindrical prism + Volume of the rectangular prism
Volume of half cylindrical prism = 
= 
= 339.29 cubic inch.
Volume of the rectangular prism = (length × width × height)
= 11 × 6 × 12
= 792 cubic inches
Volume of the solid figure = 339.29 + 792
= 1131.29
≈ 1131 cubic inches
Answer:
25 mm
Step-by-step explanation:
Set up a proportion where x is the number of millimeters for 160 kilometers
= 
Cross multiply and solve for x:
32x = 800
x = 25
So, 25 millimeters represent 160 kilometers
Answer:
99.7%
Step-by-step explanation:
Given that mean (μ) = 394.3 ms and standard deviation (σ) = 84.6 ms.
The empirical rule states that for a normal distribution:
- 68% falls within one standard deviation (μ ± σ)
- 95% falls within two standard deviation (μ ± 2σ)
- 99.7% falls within three standard deviation (μ ± 3σ)
one standard deviation = 394.3 ± 84.6 = (309.7, 478.9). 68% falls within 309.7 and 478.9 ms
two standard deviation = 394.3 ± 2 × 84.6 = (225.1, 563.5). 95% falls within 225.1 and 563.5 ms
three standard deviation = 394.3 ± 3 × 84.6 = (140.5, 648.1). 99.7% falls within 140.5 and 648.1 ms
Answer:
130° is the answer to it
Step-by-step explanation:
180-50=130
