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
marishachu [46]
3 years ago
9

The length of an object's shadow varies directly with It's heigt. If a can is 13 cm tall casts a shadow that is 7.5 cm long, a b

ottle that is 2.5 cm tall will cast a shadow that is approximately 14.2 cm long.
Mathematics
1 answer:
svetoff [14.1K]3 years ago
6 0
X = Can/Bottle height, y = Shadow length
x = 13 cm, y = 7.5 cm
x = 2.5 cm, y = 14.2 cm
I'm assuming your question is asking for an equation to model this. Since there are only two data points the only equation that can be made is linear
y = mx + c
m = (y2 - y1)/(x2 - x1) <- Let 14.2 be y2, and 2.5 be x2 (it is important)
m = (14.2 - 7.5)/(2.5 - 13)
m = 6.7/-10.5
m = -0.638
y = -0.638x + c
To find c we can sub any one of the two coordinates, 
i'm choosing (2.5,14.2)
14.2 = -0.638(2.5) + c
14.2 = -1.595 + c
14.2 + 1.595 = c
15.795 = c
So the final equation is y = -0.638x + 15.795
You might be interested in
You and a friend walk away from a tree in opposite directions each traveling 15 yards. You were walking due east and then turned
LenKa [72]

Answer:

2nd friend heading west

Step-by-step explanation:

This is actually pretty easy to explain.

You and a friend are near a tree and decide to walk away from it. At the beggining you walked 15 yards and your friend too, and then, there's the turn of event. You walked 8 yards toward north east, and your friend 8 yards towards south west.

The key to know which is further from the tree is the angle of turning of both. We need to calculate the component in x from both persons, and then, add it to the previous 15 yards. This way we will know who is further.

Let's begin with the 1°, the one who's heading east:

X = 15 + 8 cos45° = 20.66 yards

Now the friend heading west:

X = 15 + 8 cos40° = 21.13 yards

With these results we can conclude that the 2nd friend is further from the tree.

Hope this helps

7 0
3 years ago
Do the equations 5y−2x=18 and 6x=−4y−10 form a system of linear equations?
Oduvanchick [21]
  • Yes, The equations 5y−2x=18 and 6x = −4y−10 form a system of linear equations.

For clear understanding refer to the attachment please! :)

5 0
3 years ago
Use a calculator to work out Q)5
romanna [79]
60.9524404762 is what i got on the calculator
8 0
3 years ago
Read 2 more answers
What is the lcm of 8 and 56
katrin2010 [14]
The lcm of 8 and 56 is 4
5 0
4 years ago
Write and equivalent expression for 8(3x+2y-9z) by modeling and by using the distributive property
emmasim [6.3K]

24x+16y-72z this is the answer

4 0
3 years ago
Other questions:
  • Who was the first United States president
    11·2 answers
  • PLEASE HELP ASAP WILL GIVE BRAINLY IF CORRECT 10 POINT
    11·1 answer
  • Find the distance between the points (-3, 11) and (5,5).<br> O 10<br> 2/10<br> o 2.17
    14·2 answers
  • Use distributive property to find 54x8
    6·1 answer
  • You are walking 3.5 miles per hour. At this pace, how long will it take to walk the 6 miles to school?
    10·1 answer
  • What is 1 5/9 as a percent?
    14·1 answer
  • What pair of numbers have a sum of 100?
    11·1 answer
  • Help pleaseeee it’s due in 27 mins
    13·2 answers
  • What are the factors of 10x^3+24x^2+14x
    5·1 answer
  • Tanisha lives with her older sister and helps with the rent by paying $500 per month. Her annual salary as a child care speciali
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!