A straight line is 180 degrees and 144 is on a straight line. So, 180-144 which is 36. So, now we know 2 angles and the Degrees of a triangle is 180 degrees.
36+76+d= 180 D= 68
Answer:
Volume of given figure = 113.12 cm²
Step-by-step explanation:
Given:
Radius of cylinder = 4/2 = 2cm
Radius of cone = 4/2 = 2 cm
Height of cylinder = 7 cm
Height of cone = 6 cm
Find:
Volume of given figure
Computation:
Volume of given figure = Volume of cylinder + Volume of cone
Volume of given figure = πr²h + (1/3)πr²h
Volume of given figure = (22/7)(2)²(7) + (1/3)(22/7)(2)²(6)
Volume of given figure = (22/7)(4)(7) + (1/3)(22/7)(4)(6)
Volume of given figure = (22)(4) + (22/7)(4)(2)
Volume of given figure = 88 + 25.14
Volume of given figure = 113.12 cm²
Answer:
see explanation
Step-by-step explanation:
(a)
Given
x² + 5x + 6
Consider the factors of the constant term ( + 6) which sum to give the coefficient of the x- term ( + 5)
The factors are 3 and 2, since
3 × 2 = 6 and 3 + 2 = 5, hence
x² + 5x + 6 = (x + 3)(x + 2) ← in factored form
(b)
To solve
x² + 5x + 6 = 0 ← use the factored form, that is
(x + 3)(x + 2) = 0
Equate each factor to zero and solve for x
x + 3 = 0 ⇒ x = - 3
x + 2 = 0 ⇒ x = - 2
No it is not, the solution would need to be (2,-4) in order to satisfy the equation y = -2x -- like so -4 = -2(2)
-4 = -4, otherwise the equation won't be satisfied.