Answer:
AB = 8.857 cm
Step-by-step explanation:
Here, we are given a <em>right angle</em>
in which we have the following things:

Side <em>BC </em>is the hypotenuse here.
We have to find the side <em>AB</em>.
Trigonometric functions can be helpful to find the value of Side AB here.
Calculating
:
Sum of all the angles in
is
.

We know that <em>cosine </em>of an angle is:

So, side AB = 8.857 cm
.
Answer:
<em>Find the probability of success in a single trial and then think about the nature of the problem (when do we stop). </em>
Step-by-step explanation:
Observe that in the single trial, we have (8 4) possibilities of choosing our set of balls. If we have chosen two white balls and two black balls, the probability of doing that is simply
p=(4 2)*(4 2)/(8 4)
This is well know Hyper geometric distribution. Now, define random variable X that marks the number of trials that have been needed to obtain the right combination (two white and two black balls). From the nature of the problem, observe that X has Geometric distribution with parameter p that has been calculated above. Hence
P(X = n) = (1— p)^n-1 *( p )
<em>Find the probability of success in a single trial and then think about the nature of the problem (when do we stop). </em>
645 rounded to the nearest 10 is 650, as 5 in the ones place rounds up.
Answer:
The sides of ∆ABC are 30 units, 40 units, and 60 units long.
The perimeter will be =
units
Given is that ∆ABC and ∆XYZ are similar and the corresponding sides of ∆XYZ are 'r' times as long as the sides of ∆ABC.
So, perimeter of ∆XYZ will be :
units.
----------------------------------------------------------------------------------------
The area of ∆ABC is n square units, so area of ∆XYZ will be :

= 
=
square units.
The length of the new tank is 5 times bigger than the old one, so 154×5=770. As a result, the capacity of the new tank is 770L. Hope it help!