Well if there are 3 outcomes just add the two other outcomes and subtract from 1
so 0.4+0.25=0.35
so the third outcomes has a 0.35 chance of happening or 35%
Answer:
The area is 452 cm2
Step-by-step explanation:
We use the formula:
Area = π (raduis)2 =π (12cm)´2 = 452, 39 cm2
-3×2= -6
-6-27= -33
so if we peak option B.
(-3x +91)(x+31)
solving it
-3x (x+31)+91(x+31)
-3x^2 -93x +91x +2821
we will take (-93x+91x)= -2x
so it's going to be
-3x^2 -2x +2821
this is a quadratic equation hence
2+/-√-2^2-(4×-3×2821)divided by 2×-3
2+/-√4+33852divide by -6
2+/-√33856 divide by -6
2+/- 184 divided by -6
2+/- 30.67
when you add you'll get
32.67
round it off and you get 33
which is the same as what we got at the top
so expression B is the same as
-3×2-27 which is 33
Answer:
it is the second one to the bottom
Step-by-step explanation:
Answer:length of wire = 116 ft
Explanation:The attached image shows a diagram on the scenario given.
Now, we can note that the string forms a right-angled triangle with the tower and the ground. This means that special trig functions can be applied.
These functions are as follows:
sin θ = opposite / hypotenuse
cos θ = adjacent / hypotenuse
tan θ = opposite / adjacent
Now, from the given, we can find that:
θ = 34°
opposite is the tower = 65 ft
hypotenuse is the string length that we want to find
Substitute with the givens in the sin function to get the length of string as follows:
sin (34) = 65 / string
string = 65 / sin(34)
string = 116.2 which is approximately 116 ft
Hope this helps :)