Answer:
0.225
Step-by-step explanation:
Total outcomes of choosing 5 out of 18 members = 18C5
Outcomes of choosing 2 out 11 favourers, 3 out of 7 members = 11C2 & 7C3
Probability = Favourable outcomes / Total outcomes
= ( 11C2 x 7C3 ) / 18C5
<u>[ { 11 ! / 2! 9! } {7 ! / 3! 4! } ] </u>
[ 18 ! / 5! 13! ]
( 55 x 35 ) / 8568
1925 / 8568
= 0.2246 ≈ 0.225
Answer:
b ≈ 9.5, c ≈ 14.7
Step-by-step explanation:
Using the Sine rule in Δ ABC, that is
= 
, substitute values
= 
( cross- multiply )
b × sin23° = 7 × sin32° ( divide both sides by sin23° )
b = 
≈ 9.5 ( to the nearest tenth )
Also
= 
= 
( cross- multiply )
c × sin23° = 7 × sin125° ( divide both sides by sin23° )
c = 
≈ 14.7 ( to the nearest tenth )
It opens downwards so it looks like this “n”. That is because a in the formula is a negative number in this situation
Answer:
Area of triangle = 20√2
Step-by-step explanation:
Formula:
Area of triangle = bh/2
b - base of triangle
h - height of triangle
<u>Distance formula</u>
d = √(x₂ - x₁)² +(y₂ - y₁)²
From the figure we can see that, the given triangle is right angled triangle.
Base = AC and Height = AB
<u>To find AB and AC</u>
A(1,3), B(4,7) and C(9, -5)
AB = √(4 - 1)² +(7 - 3)² = √(3² + 4²) = 5
AC = √(9 - 1)² +(-5 - 3)² = √(8² + -8²) = 8√2
<u>To find the are of triangle</u>
Area = bh/2 = (5* 8√2)/2 = 20√2
Therefore the area of triangle = 20√2 square units
Kinetic energy
Pushing is energy in motion and energy in motion is classified as (KE) kinetic energy
