Answer:
160
Step-by-step explanation:
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Answer:
first option
Step-by-step explanation:
To obtain ( f ￮ g)(x) substitute x = g(x) into f(x) , that is
f(
)
= 
( multiply numerator/ denominator by 2x to clear the fraction
= 
= 
Answer:
The surface area of the figure = 962 ft²
Step-by-step explanation:
The rectangle dimensions and its area given below
Dimensions Number Area
12 x 7 2 12 x 7 x 2 = 168
16 x 7 1 16 x 7 = 112
12 x (16 + 5) 1 12 x 21 = 252
16 x 12 1 16 x 12 = 192
16 x 13 1 16 x 13 = 208
Triangle dimensions
Dimensions Number Area
b = 12 & h = 5 2 bh/2 = (12*5)/2 = 30
To find total area
Total area = 168 + 112 + 252 + 192 + 208 + 30 = 962 ft²
Andy is incorrect because more then one triangle can be drawn with the given information
<span>sinx - cosx =sqrt(2)
Taking square on both sides:
</span>(sinx - cosx)^2 =sqrt(2)^2<span>
sin^2(x) -2cos(x)sin(x) + cos^2(x) = 2
Rearranging the equation:
sin^2(x)+cos^2(x) -2cos(x)sin(x)=2
As,
</span><span>sin^2(x)+cos^2(x) = 1
</span><span>So,
1-2sinxcosx=2
1-1-2sinxcosx=2-1
-</span><span>2sinxcosx = 1
</span><span>Using Trignometric identities:
-2(0.5(sin(x+x)+sin(x-x))=1
-sin2x+sin0=1
As,
sin 0 = 0
So,
sin2x+0 = -1
</span><span>sin2x = -1</span><span>
2x=-90 degrees + t360
Dividing by 2 on both sides:
x=-45 degrees + t180
or 2x=270 degrees +t360
x= 135 degrees + t180 where t is integer</span>
