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
MAVERICK [17]
3 years ago
7

Sharon and Jacob started at the same place. Jacob walked 3 m north and then 4 m west. Sharon walked 5 m south and 12 m east. How

far apart are Jacob and Sharon now?
Mathematics
1 answer:
Ilya [14]3 years ago
7 0

Consider the coordinate plane:

1. The origin is the point where Sharon and Jacob started - (0,0).

2. North - positive y-direction, south - negetive y-direction.

3. East - positive x-direction, west - negative x-direction.

Then,

  • if Jacob walked 3 m north and then 4 m west, the point where he is now has coordinates (-4,3);
  • if Sharon walked 5 m south and 12 m east, the point where she is now has coordinates (12,-5).

The distance between two points with coordinates (x_1,y_1) and (x_2,y_2) can be calculated using formula

D=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}.

Therefore, the distance between  Jacob and Sharon is

D=\sqrt{(12-(-4))^2+(-5-3)^2}=\sqrt{16^2+8^2}=\sqrt{256+64}=\sqrt{320}=8\sqrt{5}\approx 11.18\ m.

You might be interested in
Simplify by dividing negative three over eight ÷ five over nine . (5 points)
Marysya12 [62]

Answer:

A.) negative twenty-seven over forty

Step-by-step explanation:

Screenshot below will explain the answer

8 0
3 years ago
Assignment Mode : Open
krok68 [10]
The answer is 300 divided by 20 which you would get 15.
8 0
3 years ago
Read 2 more answers
Four penguins would satisfy a polar bear's appetite for 12 hours. A polar bear has a
julsineya [31]

Answer:

0.04%

Step-by-step explanation:

If there are 1000 penguins per square miles, <em>the total number of penguins in a  10 square miles will be 1000*10 = 10,000 penguins/10square miles</em>

Since a polar bear has a territory of 10 square miles, and<em> can only eat four penguins within the 10square miles;</em>

<em />

Percentage of penguins that the polar bear can eat will be expressed as;

number of penguin eaten per 10square miles/total number of penguin per 10square miles * 100

Percentage of penguins that the polar bear can eat = 4/10,000 * 100%

Percentage of penguins that the polar bear can eat = 4/100%

<em>Hence, the percentage of penguins that the polar bear can eat in the 10 square miles is 0.04%</em>

6 0
3 years ago
Can someone help me solve for X and Y?<br> 2x+7y=3
vesna_86 [32]

Answer: x=-7/2

 

Step-by-step explanation:

3 0
3 years ago
​Vanessa has 40 gallons of water in her new fish pond in her backyard and wants to add more water. Her pond can hold a maximum o
just olya [345]

Answer:

Her garden hose fills up the fish pond in her backyard at a rate of                      24 gallons/minute

Step-by-step explanation:

her pond will be full with the above rate ^^^^^^ very soon

the equation is y=24x-256+40

9

3 0
3 years ago
Read 2 more answers
Other questions:
  • Please help :) meeeeeeeeeeee
    13·2 answers
  • 10. For each conditional, underline the hypothesis once and the conclusion twice.
    8·1 answer
  • 2 3 • 2 4 is equal to _____.
    7·1 answer
  • What is 7/8 times 4 1/6
    9·1 answer
  • Lucy is saving money to buy a game. The game costs $21, and so far she has saved one-third of this cost. How much money has Lucy
    9·2 answers
  • suppose Julie makes 80% of her free throws. what is the probability that she will make 20 of her next 30 attempts? ​
    14·1 answer
  • To make cranberry jam you need 12 cups of sugar for every 16 cups of cranberries. Find the amount of sugar needed for 4 cups of
    11·1 answer
  • The CEO of a large manufacturing company is curious if there is a difference in productivity level of her warehouse employees ba
    8·1 answer
  • Factor the expression.<br> 20b + 35 =<br> (Factor completely.)
    7·1 answer
  • In how many ways can a committee of four men and four woman be formed from a group of seven men and eleven women?
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!