Answer:
15 possible combinations
Step-by-step explanation:
Given
Required
Determine the possible number of combinations
The question emphasizes on "selection" which means "combination".
So; To answer this question, we apply the following combination formula:
In this case:
The formula becomes:
<em>Hence, there are 15 possible combinations</em>
Answer:
70 degrees
Step-by-step explanation:
Find the diagram attached
The sum of the angles is supplementary that is
45 + 2x- 5 = 180
2x + 40 = 180
2x = 180 - 40
2x = 140
x = 140/2
x = 70
Hence the value of x is 70 degrees
Answer:
∠1 = 90°
∠2 = 66°
∠3 = 24°
∠4 = 24°
Step-by-step explanation:
Usually the diagonals of a rhombus bisect each other at right angles.
Thus; ∠1 = 90°
Since they bisect at right angles, then;
∠R1S = 90°
Now, sum of angles in a triangle is 180°
Thus;
66° + 90° + ∠4 = 180°
156 + ∠4 = 180
∠4 = 180 - 156
∠4 = 24°
Now, also in rhombus, diagonals bisect opposite angles.
Thus; ∠4 = ∠3
Thus, ∠3 = 24°
Similarly, the diagonal from R to T bisects both angles into 2 equal parts.
Thus; ∠2 = 66°
Assuming that the two investments are X & Y
X + Y = 6300
X = 6300 - Y (1)
9/100X + 4/100 Y = 372 (2)
replacing X from (1) into (2)
9/100(6300-Y) + 4/100 Y = 372
567 - 9/100Y +4/100Y = 372
(-9+4)/100Y = 372 - 567
5/100Y = -195
Y = 100*195/5 = 3900
From (1) we can get X
X = 6300 - 3900 = 2400
I hope this is helpful
Answer:
3x² + 3x - 36=
(3x+12)(x-3)
x² - 3x - 28=
(x+4)(x-7)
Step-by-step explanation:
For both equations use the method called the "Cross Method". It is useful for these type of factorisation questions called "Trinomials".
For more info on the cross method.
Here it is:
https://www.mathsteacher.com.au/year10/ch10_factorisation/05_cross_mult_method/cross.htm
Hope you enjoyed :D
