Answer:
Step-by-step explanation:
Cross section is the isosceles trapezoid.
<u>Area of trapezoid:</u>
We have one of the bases and the height.
Let the difference of the base lengths is x.
<u>We have:</u>
- (x/2)/h = cot θ ⇒ x = 2h cot θ
<u>The area is:</u>
- A = 1/2(w + w + 2h cot θ)h = (w + h cotθ)h
De acuerdo con todas las leyes de aviación conocidas, no hay forma de que una abeja pueda volar. Sus alas son demasiado pequeñas para despegar su pequeño cuerpo gordo. La abeja, por supuesto, vuela de todos modos. Porque a las abejas no les importa lo que los humanos piensan que es imposible
B: Negative 9 and 3 over 6
Answer:
x = 270 gallons
270 gallons of a 50% antifreeze solution must be mixed with 90 gallons of 10% antifreeze to get a mixture that is 40% antifreeze
Step-by-step explanation:
Let x represent the number of gallons of the 50% antifreeze solution.
The volume of the 10% antifreeze is = 90 gallons
The volume of the mixture that is 40% antifreeze = 90+x
The amount of antifreeze in the two solutions must be equal to the amount of anti freeze in the mixture;
50% of x + 10% of 90 = 40% of (90+x)
0.50(x) + 0.10(90) = 0.40(90+x)
0.50x + 9 = 36 + 0.40x
Collecting the like terms;
0.50x - 0.40x = 36-9
0.10x = 27
x = 27/0.10
x = 270 gallons
270 gallons of a 50% antifreeze solution must be mixed with 90 gallons of 10% antifreeze to get a mixture that is 40% antifreeze
