Answer:
40 by 2.5 ?
Step-by-step explanation:
Let the speed of the current be y and the speed of Micah's sailing speed be x. Then 4.48/(x + y) = 0.32
4.48/(x - y) = 0.56
0.32x + 0.32y = 4.48 . . . (1)
0.56x - 0.56y = 4.48 . . . (2)
(1) x 7 => 2.24x + 2.24y = 31.36 . . . (3)
(2) x 4 => 2.24x - 2.24y = 17.92 . . . (4)
(3) - (4) => 4.48y = 13.44
y = 3
From (1), 0.32x + 0.32(3) = 4.48
0.32x = 4.48 - 0.96 = 3.52
x = 3.52/0.32 = 11
Therefore, the speed of the current is 3 miles per hour. Answer is 3 miles per hour
To find the surface are of the base: 8 * 8 = 64/2(becasue its a triangle not a square base) = 32.
To find the surface are of the 3 other faces, 12 * 8 = 96/2 = 48 * 3(for the 3 sides) = 144.
The entire surface area is 176.
Decimal: 0.875
Percent: 87.5%
Answer:
Part A: 2,100 cm²
Part B: 5,880 cm³
Step-by-step explanation:
Area 1st rectangle = 15*28
Area 2nd rectangle = 20*28
Area 3d rectangle = 12*28
Area 4th rectangle = 13*28
Area trapezoid =(1/2) ( base1 + base2)*height = (1/2) (15+20)*12
There are two such trapezoids.
Complete surface area = 15*28 + 20*28 +12*28+13*28 + 2 *(1/2)(15+20)*12 =
= 2,100 cm²
Part B.
Volume = base area*height prism
Base area = area trapezoid = (1/2) (base1 a+ base2)*heght trapezoid =
= (1/2)*(20+15)*12
Volume = (1/2)*(20+15)*12*28 = 5,880