Area = 1/2 bh
96 = 1/2 x b x 8 = 4b
b = 96/4 = 24 inches
Perimeter = 3b [since the other sides are equal to the base]
P = 3 x 24 = 72 inches.
114 = 19y
This is true because they are vertical angles. Now, let's divide both sides by 19
6 = y
Answer: The third option is correct
Step-by-step explanation: With increased trials, experimental probability will grow closer to theoretical probability. Blue pens make up 1/2 of the probability pool.
Answer:
36. Limit = 2/3.
Step-by-step explanation:
36.
(∛ x- 1) / (√x - 1)
Rationalise the expression:-
Multiply top and bottom by (√x + 1):-
(∛x - 1)(√x + 1) / (√x - 1)(√x + 1)
= x^5/6 + ∛x - √x - 1 / (x - 1)
Applying L'hopital's rule ( differentiating top and bottom of the fraction) we have:
Limit as x ----> 1 of [5/6 x^-1/6 + 1/3 x^(-2/3) - 1/2x^-1/2] / 1
= 5/6(1) + 1/3(1) - 1/2(1) = 2/3 (answer).
Answer:
(x,y ) = ( - 2,3)
Step-by-step explanation:
given the 2 equations
7x - 2y = - 20 (1)
9x + 4y = -6 (2)
