Answer + Explanation:
<h3>16.</h3>
sum of opposite two angles = one exterior angle
50° + 20° = d
d = 70°
<h3>17.</h3>
A straight line has total 180° angle.
a + d = 180°
90° + d = 180°
d = 180° - 90°
d = 90°
<h3>18.</h3>
sum of opposite two angles = one exterior angle
52° + 78° = d
d = 130°
<h3>19/20.</h3>
If a = 90° then d = 90°
Then b = 90 - c and c = 90 - b
<h3>21.</h3>
If d = 105°, then c = 105 - b
The answer would be
X = 6 - y / 2 !
Hmm well, here an example y=3 ,
<span> y=3 ,</span> rather than the <span><span> x−</span><span> x−</span></span> axis.) Your integrand looks fine and reduces to
<span><span> (9−18sinx+9<span>sin2</span>x) − (9−18cosx+9<span>cos2</span>x)</span><span> (9−18sinx+9<span>sin2</span>x) − (9−18cosx+9<span>cos2</span>x)</span></span>
<span><span>= 18 (cosx−sinx) + 9 (<span>sin2</span>x−<span>cos2</span>x) = 18 (cosx−sinx) − 9 cos2x .</span><span>= 18 (cosx−sinx) + 9 (<span>sin2</span>x−<span>cos2</span>x) = 18 (cosx−sinx) − 9 cos2x .</span></span>
The evaluation of the volume is then
<span><span>π <span><span>[<span> 18 (sinx+cosx) − <span>92</span>sin2x </span>]</span><span>π/4</span>0</span></span><span>π <span><span>[<span> 18 (sinx+cosx) − <span>92</span>sin2x </span>]</span>0<span>π/4</span></span></span></span>
<span><span>= π <span>(<span> [ 18 ( <span><span>2–√</span>2</span>+<span><span>2–√</span>2</span>) − <span>92</span>⋅1 ] − [ 18 (0+1) − <span>92</span>⋅0 ] </span>)</span> </span><span>= π <span>(<span> [ 18 ( <span>22</span>+<span>22</span>) − <span>92</span>⋅1 ] − [ 18 (0+1) − <span>92</span>⋅0 ] </span>)</span> </span></span>
<span><span>= π ( 18<span>2–√</span> − <span>92</span> − 18 ) = π ( 18<span>2–√</span> − <span>452</span> ) or <span><span>9π</span>2</span> ( 4<span>2–√</span> − 5 ) ,</span></span>
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