It has become somewhat fashionable to have students derive the Quadratic Formula themselves; this is done by completing the square for the generic quadratic equation ax2 + bx + c = 0. While I can understand the impulse (showing students how the Formula was invented, and thereby providing a concrete example of the usefulness of abstract symbolic manipulation), the computations involved are often a bit beyond the average student at this point.
A number cube is a die (singular for dice). List all of the possible outcomes of a die (list numbers of 1 to 6), and next to those numbers, determine if they are even or odd.
Answer:
3.995
Step-by-step explanation:
A midpoint is defined as a point that is exactly in the middle between two other points. The midpoint between two numbers is the number exactly in the middle of the two numbers. Calculating the midpoint is the same thing as calculating the average of two numbers. Therefore, you can calculate the midpoint between any two numbers by adding them together and dividing by two.
Answer:
64.5°
Step-by-step explanation:
angle of elevation is the angle from the point where the shadow ends. this create a right angle triangle. using tan, you can find the angle.
tan theta = opposite/adjacent
angle = tan^-1(42/20)
angle = 64.5°
Hi!
So, it looks like you're doing ratios.
Let's look at 9). If the model car is 4 inches long, and 1 inch equals 4 feet, than the actual car is 16 feet long. We know this because 4x4=16.
11) is also just as simple. If 1 cm is 11 km, and the two cities are 99 km apart, then on the map they are 9 cm apart. 11x9 is 99.
13) This is a 1:2 ratio. Basically, the flagpole's shadow is half of its height. You half the man's height to get a 3 foot shadow.
And, finally, 15)- if the model is 4 inches to the real life train's 3 feet, the actual train is 120 ft long, given that the model is 40 in long. 40x3=120.
I hope this helps! :)
