Answer:
The height of the water = 6.2 in. to the nearest tenth
Step-by-step explanation:
∵ The rate of flows of water into the tank = 8000 in.³/min.
∴ The volume of the water in the tank after 10 min. = 8000 × 10 = 80000 in.³
∵ The water take the shape of the tank
∴ The height of the water = volume of water ÷ Area of the base of the tank
∵ The tank is cylinder with diameter 128 in. and height 72 in.
∴ The area of the base of the tank = π(128/2)²
∴ The height of the water = 
∴ The height of the water = 6.2 in. to the nearest tenth
Answer:
The surface area of the triangular prism is 84 square centimeters.
Step-by-step explanation:
The surface area of a figure is exactly what it means, the area of its outer surface or the added areas of each face that makes the figure.
Nets are a way to find surface area easier because it is an outline of the faces of the 3d figure.
But since we don’t have a net, we will just find the area of each face that forms this right triangular prism:
The two congruent triangular bases:
1/2 x 4 x 3 = 6 cm^2
6 x 2 = 12 cm^2
Lateral bottom rectangular face:
6 x 3 = 18 cm^2
Lateral to the right rectangular face:
5 x 6 = 30 cm^2
Lateral to the left rectangular face:
4 x 6 = 24 cm^2
Add up all the values:
12 + 18 + 30 + 24 = 84
The SA is 84 square centimeters
Answer: 1) 57 degrees
2) 50 degrees
3) a- 58 degrees, b- 32 degrees
Step-by-step explanation:
78, 52, and the number inbetween = 180
if u find the inbetween number it will be vertically opposite to a
If sinα=1/4 and it is in q2 it means that the x coordinate is negative.
The triangle has a height of one and a hypotenuse of 4 so:
x=-√(4^2-1)
x=-√15
so tanα=-1/√15
tanα=-√(1/15)
tanα≈ -0.258
Answer:
100
Step-by-step explanation:
Write in an equation:
4=4%x, then divide 4% from both sides, and then you get 100.
