Answer:
<h2> 55.10min </h2>
Step-by-step explanation:
This problem is on the mensuration of flat shapes.
given that the initial radius before Cody alerted the fire department is
10 ft
Then we can calculate the area of the fire as
Area= πr^2
Area=3.142*(10)^2
Area=3.142*100
Area=314.2ft^2
Also, given that the area of the circular fire has grown to 45401 square feet
let us solve for the radius first, then we can calculate the time taken since the radius was increasing by 2 ft/min
let the radius of the large fire be R
45401=πR^2
R^2=45401/3.142
R^2=14449.714
square both sides we have
R=√14449.714
R=120.2ft
The difference between the radius of the initial fire and the large fire is
R-r=120.2-10
=110.2ft
Hence the time taken can be calculated as
time= 110.2/2
time=55.10min
Answer:
7.5 m^3 of sand
Step-by-step explanation:
to fill the sand box, you need to fill its volume.
3*2.5*1 = 7.5 m^3 of sand.
hope it helps!
D.
Kelly got 3^3 (27) while Alia got 4^2 (16) less than her. When you put it together you get 3^3 - 4^2
Answer:
c ≈ 4.2 ft
Step-by-step explanation:
Using the cosine rule with a = 7, b = 8 and C = 32°, then
c² = 7² + 8² - (2 × 7 × 8 × cos32°)
= 49 + 64 - (112 × cos32°)
= 113 - 94.98
c = ≈ 4.2 ft ( to the nearest tenth )