Answer:
Step-by-step explanation:
The formula for the volume of a cylinder is
V = πr²h
Data:
V = 20 000 gal
h = 34.5 ft
Calculations:
I assume the gasoline tank is lying on its side, so we are asked to find the diameter of the tank.
(a) Convert the volume to cubic feet
V= 20 000 gal × (1 ft³/7.48 gal) = 2674 ft³
(b) Calculate the radius of the tank
V = πr²h
r² = V/(πh) = 2674/(π × 34.5) = 24.67 ft²
r = √24.67 = 4.967 ft
(c) Calculate the diameter of the tank
d = 2r = 9.934 ft
(d) Calculate the length of the measuring pole
l = d + 1 = 9.934 + 1 = 
Answer:
The distance each bus travels is given as d=tr where
- d is distance bus travels
- t is a time bus travels
- r is the speed of the bus
:
Distance first bus travels for 4 hours is d1=4r.
Distance other bus travels for 4 hours is d2=4(r+12).
:
The total distance between them is 480 miles and since they go in opposite directions this distance is the sum of distances each bus travels.
:
d1+d2=480
4r+4(r+12)=480
4r+4r+48=480
8r+48=480
8r=432
r=432/8
r=54 mph, this is a speed of the first bus
:
r+12=66 mph, this is the speed of the second bus
Hope this helps you!!!! :D
Answer/Step-by-step explanation:
1. B = 180 - (90 + 58) (sum of triangles)
B = 32°
Let's find a and b using trigonometric ratios:
Reference angle = 58°
Opposite = a = ?
Hypotenuse = c = 27
Adjacent = b = ?
✔️To find a, apply SOH:
Sin 58 = Opp/Hyp
Sin 58 = a/27
a = 27*Sin 58
a = 22.8972986 ≈ 22.9 (nearest tenth)
✔️To find b, apply CAH:
Cos 58 = Adj/Hyp
Cos 58 = b/27
b = 27*Cos58
b = 14.3 (nearest tenth)
2. B = 180 - (90 + 63) (sum of triangles)
B = 27°
Let's find a and b using trigonometric ratios:
Reference angle = 63°
Opposite = a = 11
Hypotenuse = c = ?
Adjacent = b = ?
✔️To find b, apply TOA:
Tan 63 = Opp/Adj
Tan 63 = 11/b
b = 11/Tan 63
b = 5.6 (nearest tenth)
✔️To find c, apply SOH:
Sin 63 = Opp/Hyp
Sin 63 = 11/c
c = 11/Sin 63
c = 12.3 (nearest tenth)
Answer:
can you take a picture or is it just words so if theres like a number line or something
Step-by-step explanation:
= Answer:
Step-by-step explanation:
interest= 3500 * 6 * 6.9* 1/100
= 4949
Final value = £ 3500 + 1449
= 4949
