Find the 64th term in the number sequence 4,9,14,19
2 answers:
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It is given that area( Δ ab c) =6 square units.
Also ab║d e
⇒b d =4 b c
I have depicted picture below.
Consider Δ cde in which points a and b are in the interior such that ab║de.
So, as you know that if in a triangle line joining two points is parallel to third side then the two sides are proportional.i.e
⇒ca/ae =cb / bd
Also, ∠ c is common.
∴Δcab is similar to Δ cde.
As we know if ratio of areas of two similar triangles is square of their corresponding sides.
=
⇒6/Δcde =1/4
⇒Ar (Δ cde)=6×4
Ar (Δ cde) =24 square centimeter
Answer:
Step-by-step explanation:
Let the total number of students = x,
∴ Number of boys = 40% of x = 0.4x,
So, the number of girls = students - boys
= x - 0.4x
= 0.6x
Now, 50% of the boys chosen blue as their favourite colour,
So, the number of boys whose favourite colour is blue = 50% of 0.4x
= 0.50 × 0.4x
= 0.2x,
Now, 20% of the girls chosen blue as their favourite colour,
So, the number of girls whose favourite colour is blue = 20% of 0.6x
= 0.20 × 0.6x
= 0.12x
Thus, the total students who like blue colour = 0.20x + 0.12x = 0.32x
Also, the fraction of the boys whose favourite colour is blue out of the total students who like blue