1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
lesantik [10]
3 years ago
12

Ben and Josh went to the roof of their 40-foot tall high school to throw their math books off the edge.

Mathematics
1 answer:
krok68 [10]3 years ago
3 0

Answer:

  • Josh's book lands first
  • Ben's lands about 0.648 seconds later

Step-by-step explanation:

Using the given equation for v=60 and s=40, the height of Ben's book is ...

  h(t) = -16t² +60t +40

We want to find t when h(t) = 0, so we're looking for the solution to ....

  0 = -16t² +60t +40

Using the quadratic formula, we find the positive value of t to be ...

  t = (-60 -√(60² -4(-16)(40)))/(2(-16)) = (15 +√385)/8 ≈ 4.3277

__

Similarly, the height of Josh's book is ...

  0 = -16t² +48t +40

  t = (-48 -√(48² -4(-16)(40)))/(2(-16)) = (12 +√304)/8 ≈ 3.6794

__

The time before Josh's book lands is shorter by ...

  4.3277 -3.6794 ≈ 0.6482 . . . . . seconds

Josh's book reaches the ground first, by about 0.648 seconds.

You might be interested in
Two points on a line are ( 3, 8 )and ( -3, 2 ). What is the slope of the line?
professor190 [17]

Answer:

1

Step-by-step explanation:

m=(y2-y1)/(x2-x1)

m=(2-8)/(-3-3)

m=-6/-6

m=1

8 0
2 years ago
Beth has $50 to spend on new clothes during a tax free weekend. She
kogti [31]

Answer:

C.

Step-by-step explanation:

5 0
3 years ago
Write 8×8×8×8×8 using a base and exponent​
Nastasia [14]

Answer:

8 to the 5th power

8^5

Step-by-step explanation:

7 0
3 years ago
What are the coordinates of r(180°,O)(-4,1)
mario62 [17]
(-1,4) this should be the correct answer if im not mistakin if im wrong im sorry'
6 0
3 years ago
HELP APPRECIATED <br><br> WILL GIVE BRAINLIEST:))
soldi70 [24.7K]

Answer:

2 1/2= 2 3/6

7 1/6 + 2 3/6 = 9 4/6= 9 2/3

hope this helps!

Please give the brainliest

Step-by-step explanation:

7 0
3 years ago
Other questions:
  • Classify the following triangle as acute, obtuse, or right
    12·1 answer
  • Is 16.263548952347... a rational<br> number and why?
    11·1 answer
  • The volume of a cube is 729 cubic inches. What is the area of each face of the cube
    13·1 answer
  • Work out the area of this shape. ? cm2<br><br> 4 cm<br> 9 cm<br> 6 cm<br> 12 cm<br><br> Help!!!
    13·1 answer
  • What is t -9 + t = 12
    14·2 answers
  • How to write 15,409 in word form
    8·2 answers
  • There are 63 marbles in a leather bag. Some of the marbles are blue, some are green, some are clear, some are gold, and some are
    11·1 answer
  • How many 3/4s are in 2? Draw a tape diagram
    8·2 answers
  • Which number produces a rational number when multiplied by 1/5?
    15·1 answer
  • Please help me with this asiment please I’ll do anything!!!!
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!