Answer:
Step-by-step explanation:
Given two events which are
A = the event that the place is a city
and
B = the event that the place is in north America.
We have to find outcomes which are either A or B
This can be denoted as event AUB which implies A or B or both
The event A or B is defined by the place is either a city or it is in north America or a place in north America.
Hence AUB = the place is a city or place is in North America
Answer:
Step-by-step explanation:
hello :
2x² + 25 = -x² + 10x
2x²+x²-10x+25 =0
3x²-10x+25=0
∆ = b²- 4ac a=3 and b=-10 and c=25
∆ = (-10)²- 4(3)(25)=100 -300 = -200< 0
two complex solutions
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:
6!
Step-by-step explanation:
chord x chord = chord x chord
(5) (n+8) = (7) (n+4)
i just started plugging in numbers
(5) (6+8) = (7) (6+4)
5 x 14 = 7 x 10
70=70
