Answer:
km
Step-by-step explanation:
The submarine's path from its base forms a right triangle when its final position is "connected" to the base. We know that the right triangle has legs of 
km and 
km, and we need to find the length of its hypotenuse. To do so, we can use the Pythagorean Theorem, which states that in a right triangle, 
, where 
and 
are the lengths of the triangle's legs and 
is the length of the triangle's hypotenuse. In this case, we know what and are, and we need to solve for c, so after substituting the given values of and into to solve for c, we get:
(Substitute 
and 
into the equation)
(Evaluate the squares on the LHS)
(Simplify the LHS)
(Symmetric Property of Equality)
(Take the square root of both sides of the equation)
(Simplify)
is an extraneous solution because you can't have negative distance, if that makes sense, so therefore, the submarine is approximately km away from its base. Hope this helps!
Answer:
multiply 3 by 2 and add 1 to get 7
Step-by-step explanation:
3x2+1=7
Answer: The chance here to win is 50%.
Step-by-step explanation: You are taking a chance on a spinner with 20 outcomes. So, we will be considering natural numbers from 1 to 20.
And also, you will a prize if you land on an even number, so we will calculate the probability of getting an even number.
From 1 to 20, there are 10 odd numbers and 10 even numbers out of total 20 numbers.
Let us define the following events -
A = event of getting an even number
and
B = event of getting an odd number.
So, n(A) = 10 and n(B) = 10.
So, the probability of getting an even number is given by
Thus, the required chance of winning a prize is 50%.
