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)
Answer:
C. 30 ft
Step-by-step explanation:
Pythagorean Theorem: a² + b² = c²
When we draw out a picture, we should see that we use the Pythagorean Theorem to help solve our missing height:
10² + b² = 32²
b² = 32² - 10²
b = √924
b = 2√231 or 30.3974
Round that to 30 feet.
Answer:
w^2+6w-112
Step-by-step explanation:
combine like terms
w^2 and 6w are not like terms
The answer is 224.7 you got to turn 30% into decimal which is 0.30
then multiply 0.30 and 749 which equals 224.7