Answer:
D. y=40x + 50
y=35x + 75
Step-by-step explanation:
x is per hr
it's 40 and 35 dollars per hr
Use the general formula:
Volume = Height * (area of top+4*area at mid height+area at bottom) /6
Example for a cube of side s:
Vcu=s(s^2+4s^2+s^2)/6=s^3
Example for a cone of radius r
Vco=h(0+4*pi r^2/4+pi r^2)/6=pi r^2 h/3
Example for a sphere or radius r:
Vsph=2r*(0+4pi r^2 + 0)/6 = 4pi r^2 /3
So for a square frustrum with end sides a & b, height h:
Vf=h*(a^2+4((a+b)/2)^2+b^2)/6=(a^2+(a+b)^2+b^2)h/6
or simply
Vf=(a^2+(a+b)^2+b^2)h/6
The GCF of the two is 8, so you would do 8(7+8) OR 8(15) OR 120, <u><em>BUT MOST LIKELY 8(7+8)</em></u>
Answer:
-9
Step-by-step explanation:
3x=-27
Answer:
sin(A+B) = 297/425
Step-by-step explanation:
This problem involves a couple of Pythagorean triples, and the trig identity for the sine of the sum of angles.
The Pythagorean triples involved are {8, 15, 17} and {7, 24, 25}. These tell us the other trig functions of the given angles:
sin(A) = 8/17 ⇔ cos(A) = 15/17
cos(B) = 24/25 ⇔ sin(B) = 7/25
The trig identity we're using is ...
sin(A+B) = sin(A)cos(B) +cos(A)sin(B)
sin(A+B) = (8/17)(24/25) +(15/17)(7/25)
_____
<em>Check</em>
A = arcsin(8/17) ≈ 28.072°
B = arccos(24/25) ≈ 16.260°
sin(A+B) = sin(44.332°) ≈ 0.6988235
sin(A+B) = 297/425