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
How many x-intercepts will the graph of y = 3x2 + 6x + 3 have? (Use the discriminant to
KonstantinChe [14]

Answer:

i think D or B is the answer

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
an electrician has $120 to spend on interior light fixtures. The wholesale price for a 13-watt low-energy lamp is $4. The price
JulsSmile [24]
X = low-energy lamp
y = high-energy lamp

1) 4x + 5y

2) 120= 4x + 5y
8 0
3 years ago
Read 2 more answers
Find 6 tenths of 80cm
Rzqust [24]

Answer:

6/10 of 80 is 48

7 0
3 years ago
Read 2 more answers
janine bought a portable CD player for $75. if the sales tax is 5%,what is the total cost of the CD player​
Marina CMI [18]

Answer

78.75

Step-by-step explanation:

75.00 × 0.05

= 78.75

3 0
3 years ago
Erica collected a total of $180 for her favorite charity over the first 3 months of the year. She collected the same amount in t
ankoles [38]
X+x+3x= 180
5x= 180
x= 36

3(36)= 108
Your answer is D. $108
4 0
3 years ago
Read 2 more answers
Other questions:
  • Find the area of the figure.
    8·1 answer
  • Which is an equation of the line that passes through (2,-5) and (6, 3)?
    8·2 answers
  • The GT brewery has hired you as an analyst to understand its market position. It is particularly concerned about its major compe
    10·1 answer
  • If f(x) = x2 + 1 and g(x) = x – 4, which value is equivalent to (f circle g) (10)?
    6·1 answer
  • Find the common difference for the following sequence and fill in the missing terms. Show all calculations. -12, __, 10, __, 32,
    10·2 answers
  • A student knows the height of a pyramid and the area of its base. What should the student do to find the volume of the pyramid
    5·2 answers
  • A rectangle has an area of 72 square units. The width of the rectangle is 9 units. The length of the rectangle is 2 x + 4. What
    15·2 answers
  • A baseball team wins one out of every three games. How many wins<br> would they have after 27 games?
    15·1 answer
  • Answer all questions and the topic is about ordering decimals and don't answer if u do not know.
    9·1 answer
  • -28/3 multiplied by -14/3
    10·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!