the first one about jasmine, and the one about the boat...? hope this helps!!
Answer:
see explanation
Step-by-step explanation:
(15)
Since BE bisects ∠ ABD then ∠ DBE = ∠ ABE, thus
8x - 14 = 6x + 2 ( subtract 6x from both sides )
2x - 14 = 2 ( add 14 to both sides )
2x = 16 ( divide both sides by 2 )
x = 8
Thus ∠ ABE = 6x + 2 = 6(8) + 2 = 48 + 2 = 50°
(16)
Since BE bisects ∠ ABD then ∠ ABE = ∠ DBE = 12n - 8 and
∠ ABD = ∠ ABE + ∠ DBE, that is
22n - 11 = 12n - 8 + 12n - 8 = 24n - 16 ( subtract 24n from both sides )
- 2n - 11 = - 16 ( add 11 to both sides )
- 2n = - 5 ( divide both sides by - 2 )
n = 2.5
Thus
∠ EBD = 12n - 8 = 12(2.5) - 8 = 30 - 8 = 22°
Volume of cone = 1/3 pi r(squared).h
Volume of Cylinder = pi r(squared).h
By the problem, they are equal.
So,
1/3 pi.12^2.12= pi 8^2.h
h= 144.4/64 =9
height of the cylinder is 9cms
Answer:
k = 3.75
Step-by-step explanation:
Note the equal sign, what you do to one side, you do to the other. Isolate the variable, k. Divide -1.2 from both sides:
(-4.5)/(-1.2) = (-1.2k)/-1.2
-4.5/-1.2 = k
k = -4.5/-1.2
k = 3.75
3.75 is your answer for k.
~
Answer:
D
Step-by-step explanation:
Given
(x + 2)² + 5(x + 2) - 6 = 0
Using the substitution u = x + 2 , then the equation can be expressed as
u² + 5u - 6 = 0 → D