Answer:
x = 11
Step-by-step explanation:
From the diagram, we find,
(2x - 16) + (x - 8) = 9
=> 2x - 16 + x - 8 = 9
=> 2x + x - 16 - 8 = 9
=> 3x - 24 = 9
=> 3x = 9 + 24
=> 3x = 33
=> x = 33/3
=> x = 11
Answer:
n = π/6, π/4, 3π/4, 5π/6
Step-by-step explanation:
sin(3n) − sin n = cos(2n)
Use double and triple angle formulas:
(3 sin n − 4 sin³ n) − sin n = 1 − 2 sin² n
2 sin n − 4 sin³ n = 1 − 2 sin² n
4 sin³ n − 2 sin² n − 2 sin n + 1 = 0
Factor by grouping:
2 sin² n (2 sin n − 1) − (2 sin n − 1) = 0
(2 sin² n − 1) (2 sin n − 1) = 0
Solve:
2 sin² n − 1 = 0
2 sin² n = 1
sin² n = 1/2
sin n = √2/2
n = π/4, 3π/4
2 sin n − 1 = 0
2 sin n = 1
sin n = 1/2
n = π/6, 5π/6
Scientific notation:
8.41 x 10^7
expanded form:
84100000
Another way of finding Surface Area is
- SA= 2LW+2LH+2HW
L= Length
W= Width
H= Height
the answer, and explained, would be this
2. SA= 2(12)(10)+2(12)(16)+2 (10)(16)
(<em>multiply</em>)
3. SA= 240 + 384 + 320
(<em>add</em>)
<em>The</em><em> </em><em>answer</em><em> </em><em>is</em><em>.</em><em>.</em><em> </em>
<em><u>SA</u></em><em><u>=</u></em><em><u>944ft3</u></em><em><u> </u></em>
Answer:
The second one is the right answer