2 of them is blue because since there is 16 marbles you multiply 1/8 by 2 and 2/16 so 2 marbles are blue
This is a rhombus and in any rhombus, the diagonals intersects in the middle and they are perpendicular:
So all 4 triangles are right triangles and the sides are the hypotenuses.
1st) Calculate the sides: hypotenuse² = 3² + 4² = 25, and hypotenuse = 5
The area of each right triangle is (4 x 3)/2 = 6 units²
And the area of the 4 right triangles = 4 x 6 = 24 init²
Answer:
1250 different committees can be formed
Step-by-step explanation:
We are told that the club has 5 men and 6 women.
Now we want to choose number of men between 1 and 3 with both inclusive and number of women between 2 and 4 with both inclusive.
We'll use the combination formula;
C(n, r) = n! / [r! (n - r)!]
Where, n = population and r = picks
Thus, we'll multiply the results of the women and men together. And so we have:this gives us ;
(5C1 + 5C2 + 5C3) * (6C2 + 6C3 + 6C4) = (5 + 10 + 10) * (15 + 20 + 15) = 25 * 50 = 1250 ways
<u>Answer:</u>
x = -3/7
<u>Step-by-step explanation:</u>
We are given the following equation for which we have to solve for x:

So we will start by expanding the equation by multiplying the common factor with the brackets to get:

Arranging the like terms together (variables on one side of the equation and constants on the other side) to get:

Therefore, x = -3/7.