Answer:
third side = 9
Step-by-step explanation:
Using Pythagoras' identity on the right triangle.
The square on the hypotenuse is equal to the sum of the squares on the other 2 sides.
let the third side be x, then
x² + 40² = 41², that is
x² + 1600 = 1681 ( subtract 1600 from both sides )
x² = 81 ( take the square root of both sides )
x = 
= 9
The third side is 9
Answer:
Step-by-step explanation:
We have been given a function 
. We are asked to find the zeros of our given function.
To find the zeros of our given function, we will equate our given function by 0 as shown below:
Now, we will factor our equation. We can see that all terms of our equation a common factor that is 
.
Upon factoring out , we will get:
Now, we will split the middle term of our equation into parts, whose sum is 
and whose product is 
. We know such two numbers are 
.
Now, we will use zero product property to find the zeros of our given function.
Therefore, the zeros of our given function are .
Use the general form:-
(x - a)^2 + (y - b)^2 = r^2 where (a, b) is the centre and r = radius
Here the radius = 1/2 * 6 = 3 so r^2 = 9 and we have the equation:-
(x + 4)^2 + (y - 2)^2 = 9 (answer)
So,
Since this is independent probability, the probability of the event above occurring is:
First, the probability of landing on heads.
Now, the probability of rolling an even number.
<u />
Plug it into the equation.
The correct option is C.
Answer:
8 and 19
Step-by-step explanation:
To some this, let's first list all the factors of 152. They are;
1, 2, 4, 8, 19, 38, 76, 152.
Now, let's arrange them to reflect being multiplied to get 152.
Thus;
1 × 152 = 152
2 × 76 = 152
4 × 38 = 152
8 × 19 = 152
Also, let's do the same for their sum;
1 + 152 = 153
2 + 76 = 78
4 + 38 = 42
8 + 19 = 27
Looking at the figures above, the ones that their product is 152 but have the least sum are 8 and 19
