Answer:
= - 536
Step-by-step explanation:
The n th term of an arithmetic series is
= a₁ + (n - 1)d
where a₁ is the first term and d the common difference
Here a₁ = 10 and = - 144 , thus
10 + (n - 1)d = - 144 ( subtract 10 from both sides )
(n - 1)d = - 154
The sum to n terms of an arithmetic series is
= [ 2a₁ + (n - 1)d ] , thus
= [ (2 × 10) + (- 154) ]
= 4(20 - 154)
= 4 × - 134
= - 536
Answer:
3 • (2xy - 7) • (xy + 2)
Step-by-step explanation:
(((2•3x2) • y2) - 9xy) - 42
6x2y2 - 9xy - 42 = 3 • (2x2y2 - 3xy - 14)
Answer:
48π
Step-by-step explanation:
Given that,
The radius of the sphere is increasing at a rate of 3cm/minute,
The volume of a sphere is given by :
Differentiating both sides wrt t.
Put r = 2 cm and dr/dt = 3 cm/minute
So,
Hence, the correct option is (a) "48π".
The statement is correct because if you were to take a protractor to each corner, it will measure exactly 90°
Answer: SOHCAHTOA
Step-by-step explanation:
The pneumonic I learned is SOH-CAH-TOA. it says that Sin = opposite/hypotenuse. Cos = adjacent/hypotenuse. Tan = opposite/adjacent.
Hope it helps <3