LA=3.5; AY=7
LW=?
LW=LA+AW
AW=?
Let's analyze triangles LAY and YAW
1) Triangle LAY
Angle LAY is 90°
Suppose Angle ALY is x
The angle LYA is the complement of x, for example y:
x+y=90°→y=90°-x
2) Triangle YAW
Angle AYW is the complement of angle LAY (y), then the angle AYW must be equal to x.
Angle YAW is 90°, because the angle LAY is 90°
The triangles LAY and YAW are similars, because they have to congruent angles:
Angle LAY = 90° = Angle YAW
Angle ALY = x = Angle AYW
Then the sides of triangles LAY and YAW must be proportionals:
AW/AY=AY/LA
Replacing the known values:
AW/7=7/3.5
AW/7=2
Solving for AW. Multiplying both sides of the equation by 7:
7(AW/7)=7(2)
AW=14
Now:
LW=LA+AW
LW=3.5+14
LW=17.5
Answer: LW=17.5 units
Answer:
3 ft, 3ft, 5ft => 45 cubic feet
6 ft, 2 ft, 4 ft => 48 cubic feet
7 ft, 2 ft, 2 ft => 28 cubic feet
6 ft, 5 ft, 2 ft => 60 cubic feet
Step-by-step explanation:
Recall: formula for volume of a rectangular prism is given as, V = L × W × H
✔️Volume of rectangular prism with the following dimensions:
L = 3 ft
W = 3 ft
H = 5 ft
V = 3 × 3 × 5
V = 45 cubic feet
✔️Volume of rectangular prism with the following dimensions:
L = 6 ft
W = 2 ft
H = 4 ft
V = 6 × 2 × 4
V = 48 cubic feet
✔️Volume of rectangular prism with the following dimensions:
L = 7 ft
W = 2 ft
H = 2 ft
V = 7 × 2 × 2
V = 28 cubic feet
✔️Volume of rectangular prism with the following dimensions:
L = 6 ft
W = 5 ft
H = 2 ft
V = 6 × 5 × 2
V = 60 cubic feet
Answer:166.7 milliliters
Step-by-step explanation:
height(h)=13cm
Radius(r)=diameter ➗ 2
r=7 ➗ 2
r=3.5cm
π=3.14
Volume=(π x r^2 x h) ➗ 3
Volume=(3.14 x (3.5)^2 x 13) ➗ 3
Volume=(3.14x3.5x3.5x13) ➗ 3
Volume=500.045 ➗ 3
Volume=166.7cm^3
1 cm^3=1mL
Therefore 166.7cm^3=166.7mL
