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
68/80 is a fraction
34/40
17/20 is simplest form of fraction
percent means parts out of 100 so x/100
20 times 5=100 so
17/20 time 5/5=x/100=85/100 or 85%
decimal is normally a power of 10 so
85/100=0.85
Step-by-step explanation:
1) -5x<35
we divide both sides by 5
-5x/5<35/5
-x<7
we divide both sides by-1 to remove the negative sign
-x/-1<7/-1
x<7/-1
2) 2x>-42
we divide both sides by 2
2x/2>-42/2
x>-21
3) x/3≤-7
we multiply by 3 and we cancel 3
3(x/3)≤3(-7) we cancel the 3
x≤-21
4) x/-4≥-4
we do the same thing
x≥1
Answer: 20 inches
Step-by-step explanation: You will use the equation 48 x 28 x N = 26,880. To find the solution divide 48 and 28 from 26,880 to get N. To check your work just multiply what you got from N by 48 and 28.
80$ won't be enough to pay
He would like need 6 more cents
he needs 80.06$
because
