If we want to select a ball of each colour we have to extract 175+150+75+70+1=471 balls
P=471/500 is the answer
The answer is <span>c. 16x2 + 24xy + 9y2.
Since we need trinomial (three term expression) choices a and b are incorrect because they have only two terms.
So, our square trinomial is a</span>² + 2ab + b² or a² - 2ab + b²
a² + 2ab + b² = (a + b)²
a² - 2ab + b² = (a - b)²
Let's check choices c and d:
c) 16x² + 24xy + 9y²
a² = 16x²
a² = (4x)²
a = 4x
b² = 9y²
b² = (3y)²
b = 3y
a² + 2ab + b² = (4x)² + 2 * 4x * 3y + (3y)² = 16x² + 24xy + 9y²
CORRECT
d) 49x² - 70xy + 10y²
a² = 49x²
a² = (7x)²
a = 7x
b² = 10y²
b² = (y√10)²
b = y√10
a² + 2ab + b² = (7x)² + 2 * 7x * y√10 + (y√10)² = 49x² + 14xy√10 + 10y²
INCORRECT
So, c) is correct answer
Answer:
5.236 units
Step-by-step explanation:
The relation between r, θ and arc length ( l ) is,
l = rθ
l = 1 * 5π / 3
( The value of π = 3.14 approximately )
5π = 5 x 3.14 = 15.7
l = 1 * 5π / 3
= 5π / 3
= 15.7/3
l = 5.236 units
Note : -
Arc length is denoted by " l ".
Let cost is one ticket be y
y = 106.25/x
