Answer:
a) , b)
Step-by-step explanation:
a) The floor area of the pool is:
b) The total area of the walls of the pool is:
Answer:
7 seconds.
Step-by-step explanation:
We have been given that the height of a flare fired from the deck of a ship in distress can be modeled by , where h is the height of the flare above water and t is the time in seconds.
The ball will hit the ground, when height will be 0 meters, so we will equate to find the time when ball will hit the ground as:
Using quadratic formula, we will get:
Since time cannot be negative, therefore, it will take 7 seconds for the flare to hit the ground.
Answer:
40 degrees
Step-by-step explanation:
If the angle is split into 2 angles, each measuring 20 degrees, then the original angle measures 20(2)=40 degress.
Answer:
17. surface area ≈ 441.84
04π m² or 1387.38 m²
18. Ratio of volumes = 8/27
19. volume of the smaller solid = 339 yards³
Step-by-step explanation:
17 .
To find the surface area of the sphere we have to find the radius of the sphere first.
volume of a sphere = 4/3πr³
volume = 1548π m³
r = ?
volume of a sphere = 4/3πr³
1548π = 4/3 × π × r³
multiply both sides by 3/4
1548π × 3/4 = πr³
4644π/4 = πr³
1161π = πr³
divide both sides by π
r³ = 1161
cube root both sides
r = ∛1161
r = 10.5101942
r ≈ 10. 51
surface area of a sphere = 4πr²
surface area = 4 × π × 10.51²
surface area = 4 × 110.4601 × π
surface area = 441.8404π m²
surface area = 441.8404 × 3.14 = 1387.378856 m² ≈ 1387.38 m²
18
If two figure or solid are similar with scale factor or ratio of x/y then the ratio of their volume is (x/y)³. If the ratio of of two similar prism is 2 : 3 the volume will be (2/3)³ = 8/27 .
19
If two solids are similar then the ratio of their surface area is the squared of the scale factor.
121/361 = (x/y)²
square root both sides
x/y = 11/19
If two solids are similar then the ratio of their volume is the cube of the scale factor.
(11/19)³ = a/1747
1331/6859 = a/1747
cross multiply
6859a = 2325257
divide both sides by 6859
a = 2325257/6859
a = 339.008164455
a ≈ 339 yards³
volume of the smaller solid ≈ 339 yards³
Answer:
[C] 0.40625
Explanation:
To turn a fraction into a decimal, divide the numerator by the denominator.
13 ÷ 32 = 0.40625
- Your answer is [C] 0.40625