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
Reika [66]
3 years ago
6

Q13. A stone is dropped from a height of 5 km. The distance it falls through varies directly with the

Mathematics
2 answers:
Simora [160]3 years ago
8 0
I’m not sure but I think it might be C so sorry if it’s wrong
Colt1911 [192]3 years ago
3 0

Answer:

<em>The stone covers 36 m in the 5th second. Correct choice: A.</em>

Step-by-step explanation:

<u>Proportions</u>

Two variables are said to be proportional if one of them can be calculated by multiplying the other by a constant of proportionality. If y and x are those variables, then:

y=k.x

There are other similar proportions where the relation is not linear. For example, if y is proportional to the square of x, then:

y=k.x^2

According to the conditions of the question, the distance traveled by a stone dropped from a height of 5 Km varies directly with the square of the time taken to fall through that distance. If d is the distance and t is the time, then;

d=k.t^2

To find the value of k, we use the given condition: The stone falls d=66 meters in t=4 seconds. Substituting:

64=k.4^2=16k

Solving:

k=64/16=4

Substitute the value of k into the equation to get the complete model.

d=4.t^2

Now we calculate the distance when t=5 seconds:

d=4\cdot 5^2=4\cdot 25=100

The stone has covered 100 m in 5 seconds. But we need to find the distance covered in the 5th second, that specific interval between 4 sec and 5 sec.

Since we already know the distance for t=4 sec (64 m), and the distance for t=5 sec (100 m), then:

distance in the 5th second = 100 m - 64 m = 36 m

The stone covers 36 m in the 5th second. Option A.

You might be interested in
Use the decimals 2.47, 9.57, and 7.1 to write two different addition facts and two different subtraction facts
kaheart [24]
2.47+7.1=9.57
7.1+2.47=9.57
9.57-2.47=7.1
9.57-7.1=2.47
3 0
3 years ago
1/12 the fraction divided by 30
nexus9112 [7]
1/12 ÷30 is equal to 1/360 or in decimal form is a repetitive decimal which is .2777777777777777777777....
7 0
3 years ago
Read 2 more answers
X⁴-12x²+36 equals what
Harrizon [31]
Hello there!

From that amount of information, you can't get a numerical value for the answer.

Hope This Helps You!
Good Luck :)
6 0
2 years ago
Read 2 more answers
PLZ help me it's is sooo hard
Andreas93 [3]
I'm not sure for number one, but for number 2 the answer to that one is the second tallest on the chart or on the histogram. For number 3 I'm not sure because i cant see the numbers there too blurry. I'm sorry but i hope i got the second one correct.
3 0
3 years ago
What is the measure of angle c?
nikitadnepr [17]

Answer:

c = 127°

Step-by-step explanation:

∡c and ∡a are supplementary angles.

Supplementary angles sum 180°

∡a = 53°

Then:

53° + c = 180°

c = 180° - 53°

c = 127°

7 0
1 year ago
Other questions:
  • Jim observes two small plants in a garden. He records the growth of Plant 1 over several days as shown in the given table. He al
    10·2 answers
  • Can you please help
    12·1 answer
  • What is the measure angle of N???
    9·1 answer
  • A truck is dispatched for a delivery at 8:30 AM to a customer 50 miles away
    11·1 answer
  • The marks obtained by six boys in a test are 20,25,15,30,27 and 18. Find the mea
    6·2 answers
  • Antonio uses a calculator to find 38 minus StartFraction 44 minus 16 over 4 EndFraction and gets a result of –10. Which statemen
    6·2 answers
  • Which of the following equations is equivalent to 8 – 0.02x = 2.23x + 3.5?
    15·2 answers
  • Marcelo had $22.17 in his bank account . He paid two fees of $17.50 each, and then he made two deposits of 92.75 each. What is t
    7·1 answer
  • B<br> 16 m<br> A<br> С<br> 20 m -<br> Find the area of AABC.<br> [?] ml<br> Enter
    12·1 answer
  • Identify the name of the polygon given the number of sides.
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!