Answer:
Pi—which is written as the Greek letter for p, or π—is the ratio of the circumference of any circle to the diameter of that circle. Regardless of the circle's size, this ratio will always equal pi(3.1415).
There are two radii in one diameter. The formula for circumference is pi*d when using diameter which explains the two in front of the formula given by your teacher.
Step-by-step explanation:
Consider the following example:
Mira and Lola are looking to hire a hall for their 18th birthday party. They are expecting at least 50 guests and want a hire that will accommodate the party. Write this requirement as an inequality
Solution: the keyword here is 'at least' because it means that the hall must be able to accommodate a minimum of 50 people. It is a clue that Mira and Lola are expecting more than 50 guests. The inequality symbol for this context is 'more than or equal to' and as inequality, we have x ≥ 50
Answer:
0.448 seconds
Step-by-step explanation:
d = -16t² -4t + 412
find t when d = 407
substituting d = 407 into the equation:
407 = -16t² -4t + 412 (subtract 407 from both sides)
-16t² -4t + 412 - 407 = 0
-16t² -4t + 5 = 0 (multiply both sides by -1)
16t² + 4t - 5 = 0
solving using your method of choice (i.e completing the square or using the quadratic equation), you will end up with
t = (-1/8) (1 + √21)= -0.70 seconds (not possible because time cannot be negative)
or
t = (-1/8) (1 -√21) = 0.448 seconds (answer)
