Answer:
The bank charged 56 dollars in interest
Answer: Angle A = 120° and angle C = 45°
Step-by-step explanation: The first thing to note at the back of our minds is that the sum of the interior angles of a triangle equals 180°. Given that the three angle are available, we can start by adding them all together. Hence,
{12x + 12} + 15 + {3x + 18} = 180
12x + 12 + 15 + 3x + 18 = 180
By collecting like terms, we arrive at,
12x + 3x + 12 + 15 + 18 = 180
15x + 45 = 180
Subtract 45 from both sides of the equation
15x = 135
Divide both sides of the equation by 15
x = 9
At this point, we can now substitute for the value of x = 9 in the expressions representing angles A and C.
Angle A = 12x + 12
= 12(9) + 12
= 108 + 12
= 120
Angle A = 120°
Angle C = 3x + 18
= 3(9) + 18
= 27 + 18
= 45
Angle C = 45°
I think maybe about 5 times
Answer:
Yes, it can.
Step-by-step explanation:
To know if you can fill all the water balloons with the tank, the first thing is to calculate the volume of each one.
Volume of the tank, is a cylinder, whose volume is given as follows:
Vc = Pi * Rc ^ 2 * h
The radius of the cylinder has a value of 12 inches and the height of 20 inches. Thus:
Vc = 3.14 * (12) ^ 2 * 20 = 9043.2 inches ^ 3
Now, the volume of each globe that is a sphere is given by the following equation:
Ve = (4/3) * Pi * Re ^ 3
Being the radius of the sphere of 2, we have to:
Ve = (4/3) * 3.14 * 2 ^ 3 = 33.5 inches ^ 3
Now to know if you can fill all the balloons, we calculate the volume ratio of the tank and a balloon.
Vc / Ve = 9043.2 /33.5 = 269.95
Therefore, it can fill the 250 balloons because it has the capacity to carry approximately 269 balloons.
Answer:
d
Step-by-step explanation: