8x3+5=(—x3)+(—x5)
24+40 =(8x3)+(8x5)
64=24+40
64=64
∠B + ∠B` = 180°
The Sine Law:
10 / sin B` = 9.2 / sin 60°
10 / sin B` = 9.2 / √3/2
sin B` = 0.94133
B` = sin^(-1) 0.94133
Answer:
C ) ∠B` = 109.73°, ∠B = 70.27°
To find the area of the curve subject to these constraints, we must take the integral of y = x ^ (1/2) + 2 from x=1 to x=4
Take the antiderivative: Remember that this what the original function would be if our derivative was x^(1/2) + 2
antiderivative (x ^(1/2) + 2) = (2/3) x^(3/2) + 2x
* To check that this is correct, take the derivative of our anti-derivative and make sure it equals x^(1/2) + 2
To find integral from 1 to 4:
Find anti-derivative at x=4, and subtract from the anti-derivative at x=1
2/3 * 4 ^ (3/2) + 2(4) - (2/3) *1 - 2*1
2/3 (8) + 8 - 2/3 - 2 Collect like terms
2/3 (7) + 6 Express 6 in terms of 2/3
2/3 (7) + 2/3 (9)
2/3 (16) = 32/3 = 10 2/3 Answer is B
Answer:
(D) 180 degrees
Step-by-step explanation:
There are 12 hours on the clock.
For each 1 hour, the hour hand rotates = 
From 8 o'clock in the morning to 2 o'clock in the afternoon= 6 Hours
Therefore:
Number of degrees rotated by the hour hand = 
Answer:f(x)=x2−6x−9 f ( x ) = x 2 - 6 x - 9. Replace f(x) f ( x ) with y y . y=x2−6x−9 y = x 2 - 6 x - 9. Interchange the variables. x=y2−6y−9 x = y 2 - 6 y - 9.
Step-by-step explanation:
