Answer:
(C) 2√15
Step-by-step explanation:
Recognize that all the triangles are right triangles, so are similar to each other. In these similar triangles, the ratio of the short side to the long side is the same for all.
... CB/CA = CT/CB
... CB² = CA·CT = 10·6 = 60 . . . . . . . . . . multiply by CA·CB; substitute values
... CB = √60 = 2√15 . . . . . . . take the square root; simplify
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<em>Comment on this solution</em>
The altitude to the hypotenuse of a right triangle (CB in this case) divides the hypotenuse into lengths such that the altitude is their geometric mean. That is ...
... CB = √(AC·CT) . . . . as above
This is true for any right triangle — another fact of geometry to put in your list of geometry facts.
Answer:
the correct option is d. 0.02
Step-by-step explanation:
We have the following events:
x: A drought occurd
y: Water rationing.
Therefore, according to the plaster we have:
P [x] = 0.20
P [y | x] = 0.10
Now P [it is a drought and water rationing happens] =
P [x n y] = P [y | x] * P [x] = 0.10 * 0.20 = 0.02
Which means that the correct option is d. 0.02
2 x 117
3 x 78
6 x 39
9 x 26
13 x 18
Answer:
5.5m^2
the area of just the trench is 5.5 m^2
Step-by-step explanation:
The Area of trench only is the total area(trench and garden) minus the Area of garden
Area of trench only = total area(trench and garden) - Area of garden
Area = length × breadth
Substituting the given dimensions;
Total area = 3.5 × 3 = 10.5 m^2
Area of garden = 2.5×2 = 5 m^2
Area of trench only = 10.5 m^2 - 5 m^2
Area of trench only = 5.5m^2
the area of just the trench is 5.5 m^2
Answer:
see explanation
Step-by-step explanation:
Given that y varies inversely as x then the equation relating them is
y = ← k is the constant of variation
To find k use the condition that x = 9 when y = 15
15 = ( multiply both sides by 9 )
k = 135
y = ← equation of variation