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
Vinvika [58]
2 years ago
8

Luiza is jumping on a trampoline.

Mathematics
1 answer:
lyudmila [28]2 years ago
4 0

Answer:

The second time when Luiza reaches a height of 1.2 m = 2 08 s

Step-by-step explanation:

Complete Question

Luiza is jumping on a trampoline. Ht models her distance above the ground (in m) t seconds after she starts jumping. Here, the angle is entered in radians.

H(t) = -0.6 cos (2pi/2.5)t + 1.5.

What is the second time when Luiza reaches a height of 1.2 m? Round your final answer to the nearest hundredth of a second.

Solution

Luiza is jumping on trampolines and her height above the levelled ground at any time, t, is given as

H(t) = -0.6cos⁡(2π/2.5)t + 1.5

What is t when H = 1.2 m

1.2 = -0.6cos⁡(2π/2.5)t + 1.5

0.6cos⁡(2π/2.5)t = 1.2 - 1.5 = -0.3

Cos (2π/2.5)t = (0.3/0.6) = 0.5

Note that in radians,

Cos (π/3) = 0.5

This is the first time, the second time that cos θ = 0.5 is in the fourth quadrant,

Cos (5π/3) = 0.5

So,

Cos (2π/2.5)t = Cos (5π/3)

(2π/2.5)t = (5π/3)

(2/2.5) × t = (5/3)

t = (5/3) × (2.5/2) = 2.0833333 = 2.08 s to the neareast hundredth of a second.

Hope this Helps!!!

You might be interested in
Diving simply the following: 3 power 12÷3 power 7​
navik [9.2K]

♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️

{3}^{12}  \div  {3}^{7}  =

{3}^{12}  \times  {3}^{ - 7}  =

{3}^{12 - 7}  =  {3}^{5}

♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️

8 0
3 years ago
Read 2 more answers
Ill i need to know is the fraction please
murzikaleks [220]

Answer:

6/10 i think

Step-by-step explanation:

625 divided by 15 is 41.6 so i'd be 40+1+6/10

6 0
3 years ago
Read 2 more answers
Translate the algebraic expression shown below into a verbal expression.
yaroslaw [1]
The quotient of some number and four.
6 0
3 years ago
-6(x-3)<br><br><br><br><br><br><br><br><br><br><br> pls help me....
MariettaO [177]

Answer:

−6x+18

Step-by-step explanation:

-6(x-3)

(−6)(x+−3)

=(−6)(x)+(−6)(−3)

=−6x+18

4 0
2 years ago
Read 2 more answers
Evan's mother used 1/3 pound of beef, 1/2 pound of shrimp, and 3 pounds of pasta to make dinner for 4 people. Use this informati
Damm [24]
B is the correct answer!

4 0
3 years ago
Other questions:
  • Why is salt (NaCl) put on icy roads and sidewalks in the winter?
    14·2 answers
  • How do you know if a given radical expression is a perfect cube?
    9·1 answer
  • 6. Will the quotient be greater or less than one when 5.6 is divided by 7? Explain your thinking​
    5·1 answer
  • A 2-feet wide manhole cover is designed to cover a manhole opening on the street.
    12·1 answer
  • H function is even, odd, or neither.<br> b. g(x) = x² - 2<br> Is it odd or even
    9·1 answer
  • In a seventh grade class, the ratio of boys to girls is 3/9. there are 28 students in the class. Which equation show how to find
    6·1 answer
  • What is the constant term of the quotient when 2x^3-3x^2 + 4x-2 is divided by x^2-x+2?
    12·1 answer
  • Please help! thank you
    14·1 answer
  • What are the x-intercepts?​
    12·2 answers
  • I need this in 5 min plsss
    8·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!