Answer: 8 cm
Step-by-step explanation:
(1/2)(b)(7.2) = 28.8
b = 8 cm
Let "a", "b" and "с" be sides of the triangle ("с" is the longest side).
The triangle will be:
right if a² + b² = c²
аcute if a² + b² > c²
obtuse if a² + b² < c²
a.
a=3, b=4 and c=5
a² + b² = 3² + 4² = 9 + 16 = 25 and c² = 5² = 25
25 = 25 ⇒ right triangle.
b.
a=5, b=6 and c=7
a² + b² = 5² + 6² = 25 + 36 = 61 and c² = 7² = 49
61 > 49 ⇒ аcute triangle.
c.
a=8, b=9 and c=12
a² + b² = 8² + 9² = 64 + 81 = 145 and c² = 12² = 144
145 > 144 ⇒ аcute triangle.
Answer: 600 bushels of 10% alcohol content and 400 bushels of 15% alcohol content.
Step-by-step explanation:
Let we add x quantity of 10% of alcohol content and y quantity of 15% alcohol content for making 12% of alcohol content mixture.
Then according to the question, 10% of x + 15 % of y = 12% of 1000
⇒ 0.1x + 0.15y = 120
⇒ 10x + 15y = 1200
⇒ 2x +3y = 2400 -------- (1)
And, x + y = 1000
⇒ 2x + 2y = 2000 ---------(2)
Equation 1) - equation 2)
We get y = 400
By putting the value of y in equation 1),
⇒2x + 1200 = 2400
⇒ 2x = 1200
⇒ x = 600
Thus, he needs to mix 600 bushel of 10% of alcohol content with 400 bushels of 12% of alcohol content for getting 1000 bushels of 12% of alcohol content.
x travels from -5 to 5
y stays constant at 8
Quotient is given by y/x
Hence our answer is .

Here h can't be 0 as it makes the diction undefined.

Option B