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
castortr0y [4]
3 years ago
10

It is known that the distance in metres through which a body falls freely varies directly as the square of the time taken. If a

body falls through 80 metres in 4 seconds, find the distance it would fall in 5 seconds.
Mathematics
1 answer:
erma4kov [3.2K]3 years ago
4 0

Answer:

125 meters

Step-by-step explanation:

Let distance = d and time is t

Using the variation;

d = k t^2

So let’s us get k

80 = k * 4*2

16k = 80

k = 80/16 = 5

So for 5 seconds, the distance would be;

d = 5 * 5^2

d = 125 meters

You might be interested in
A pole that is 3m tall casts a shadow that is 1.3m long. At the same time, a nearby building casts a shadow that is 41.75m long.
8090 [49]

Answer:We're looking for a,b such that

\dfrac{9x-20}{(x+6)^2}=\dfrac a{x+6}+\dfrac b{(x+6)^2}

Step-by-step explanation:

6 0
3 years ago
Consider the matrix shown below:
velikii [3]

Answer:

A)\ \ \ \ \left[\begin{array}{ccc}8&-5\\-3&2\\\end{array}\right]

Step-by-step explanation:

Given the matrix: \left[\begin{array}{ccc}2&5\\3&8\\\end{array}\right],  it's inverse is calculated using the formula:

\left[\begin{array}{ccc}a&b\\c&d\\\end{array}\right]^{-1}=\frac{1}{det\left[\begin{array}{ccc}a&b\\c&d\\\end{array}\right] }\left[\begin{array}{ccc}d&-b\\-c&a\\\end{array}\right]

#Therefore, we calculate as;

\frac{1}{det\left[\begin{array}{ccc}2&5\\3&8\\\end{array}\right] }\left[\begin{array}{ccc}8&-5\\-3&2\\\end{array}\right] \\\\\\\\\#det\left[\begin{array}{ccc}2&5\\3&8\\\end{array}\right] =1\\\\\\\\=\frac{1}{1}\left[\begin{array}{ccc}8&-5\\-3&2\\\end{array}\right] \\\\\\\\=\left[\begin{array}{ccc}8&-5\\-3&2\\\end{array}\right]

Hence, the inverse of the matrix is \left[\begin{array}{ccc}8&-5\\-3&2\\\end{array}\right]

8 0
3 years ago
HELP FAST giving 5 stars
Murrr4er [49]

Answer:

The red is 1/3 and yellow is 1/4

Step-by-step explanation:

there are 3 colors and 1 of them is red so 1/3 same goes to the yellow 4 colors and  is 1 yellow so 1/4

3 0
3 years ago
Help please this is for my homework that is due to tomorrow!!
Murljashka [212]

The given polygons are similar

Step-by-step explanation:

By observing the given diagrams, we can see that the respective angles are congruent.

Two shapes are said to be similar if they have same shapes or one shape is created by uniformly increasing or decreasing the side of other.

For this purpose we find the scale factor of greater to smaller image, if the scale factor is same for each side then the two shapes are similar

So,

The scale factor is:

\frac{EF}{AB} = \frac{3}{1} = 3\\\\\frac{FG}{BC} = \frac{9}{3} = 3\\\\\frac{GH}{CD} = \frac{15}{5} = 3\\\\\frac{EH}{AD} = \frac{21}{7} = 3

We can see that the scale factor is same for all sides.

Hence,

The given polygons are similar

Keywords: Polygons, similarity

Learn more about polygons at:

  • brainly.com/question/6569012
  • brainly.com/question/6541303

#LearnwithBrainly

5 0
3 years ago
Please help me?!<br> I need help!?
Olin [163]

Answer:

Area = 6.25\pi ft^2

Step-by-step explanation:

Area = \pi \\r^{2}

The diameter is 5 feet.  That makes the radius 2.5 feet

Area = \pi \\r^{2}

Area = \pi \\2.5^{2}

Area = 6.25\pi ft^2

6 0
2 years ago
Other questions:
  • You want to buy a new sports car from roy's cars for $51,800. the contract is in the form of a 48-month annuity due at an apr of
    5·2 answers
  • List three attributes of shapes
    15·1 answer
  • The numbers 4 through 14 are placed in a
    9·1 answer
  • The quotient of , x ≠ 0, is
    13·1 answer
  • Which expression is equivalent to ( 2/5 x + 1 1/5)?
    12·1 answer
  • 34+987=what please help
    5·2 answers
  • 10. Does the mapping represent a function?
    14·1 answer
  • Solve congruent figures ​
    15·1 answer
  • In order for the parallelogram to be a rhombus, x=?
    14·1 answer
  • 6z + 9 - 7 = 4z + 12
    12·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!