Answer:
the answer is 13.5
Step-by-step explanation:
A=105
B=4
C=7
so you just plug in using the trigonometric formula for area which in this case would be
1/2(4)(7)sin(105)
then you just type that into a graphing calculator (make sure its set to degrees) then you get 13.52 which would be 13.5 rounded.
Answer:
2/7
Step-by-step explanation:
12 : 42 is the same as 12/42
simplify the fraction by dividing the numerator and denominator by 6
you get 2/7
The minimum distance is the perpendicular distance. So establish the distance from the origin to the line using the distance formula.
The distance here is: <span><span>d2</span>=(x−0<span>)^2</span>+(y−0<span>)^2
</span> =<span>x^2</span>+<span>y^2
</span></span>
To minimize this function d^2 subject to the constraint, <span>2x+y−10=0
</span>If we substitute, the y-values the distance function can take will be related to the x-values by the line:<span>y=10−2x
</span>You can substitute this in for y in the distance function and take the derivative:
<span>d=sqrt [<span><span><span>x2</span>+(10−2x<span>)^2]
</span></span></span></span>
d′=1/2 (5x2−40x+100)^(−1/2) (10x−40)<span>
</span>Setting the derivative to zero to find optimal x,
<span><span>d′</span>=0→10x−40=0→x=4
</span>
This will be the x-value on the line such that the distance between the origin and line will be EITHER a maximum or minimum (technically, it should be checked afterward).
For x = 4, the corresponding y-value is found from the equation of the line (since we need the corresponding y-value on the line for this x-value).
Then y = 10 - 2(4) = 2.
So the point, P, is (4,2).
X^1/2 - x
-2x^3 - x^1/2 - x
-2x^3 - 2x
i think this is it
<span>8,123,700 = 8.1237 x 10^6
so answer is </span>D. 8.1237 x 10ˆ6
hope it helps
