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
Help me please and thank you
Paha777 [63]

Answer:40

Step-by-step explanation:

5 0
3 years ago
Which expression is the same as 5 divided by 3
Rashid [163]
An expression that is equal to that question is 5/3 as a fraction or the solution times 3.
5 0
3 years ago
Read 2 more answers
Michael makes 60% of his free-throw attempts. If Michael attempts two free-throws,
nikklg [1K]
<h3>Answer:  12/25</h3>

====================================================

Reason:

60% = 60/100 = 0.6 is the probability of making any given free-throw.

1 - 0.6 = 0.4 is the probability of missing any given free-throw.

We have these probabilities

  • A = P(making 1st, missing 2nd) = 0.6*0.4 = 0.24
  • B = P(missing 1st, making 2nd) = 0.4*0.6 = 0.24

The probability of making exactly one free throw is A+B = 0.24+0.24 = 0.48

Convert this to a fraction:

0.48 = 48/100 = (4*12)/(4*25) = 12/25

5 0
2 years ago
Can someone help me with these? I need some help.
nata0808 [166]

Answer:

1) \sqrt{569}  2) 8   3) 0.8  4) \sqrt[10]{61}

Step-by-step explanation:

The equation for pythagoream theorem is

a^2 + b^2 = c^2  (the caret "^" represents exponents)

A = a side length

B = another side length

C = the hypotnuse which is the slanted side of the right triangle.

To solve these problems plug in the known values into the equation then solve.

6 0
2 years ago
Feliz is looking at a cyclic quadrilateral EFGH. He says, "I'm not convinced that opposite
attashe74 [19]

If the angle G is moved to a different spot in the circle the angle FGH and angle FEH in the cyclic quadrilateral will change to make it supplementary.

<h3 /><h3>What is a cyclic quadrilateral?</h3>

A cyclic quadrilateral is quadrilateral inscribed in a circle. It has all its vertices on the circumference of the circle.

Opposite angles in a cyclic quadrilateral are supplementary angles. That means they add up to 180 degrees.

Therefore, if he adjust point G to a different spot on the circle, angle FGH and FEH will adjust to become supplementary.

learn more on cyclic quadrilateral here: brainly.com/question/27884509

#SPJ1

8 0
1 year ago
Other questions:
  • In the figure below, \overline{AD} AD start overline, A, D, end overline and \overline{BE} BE start overline, B, E, end overline
    15·1 answer
  • How many hours she excercises
    9·1 answer
  • 4x + 4 = 20 x = ? can you help me
    15·1 answer
  • F(x)=x 2 −6x+3 g(x)= x−2 ​ ​ f ( g ( 11 ) ) = f(g(11))
    12·1 answer
  • 6. Amy bought some used books for $4.95. She paid $0.50 each for some books and $0.35 each for the others. She bought fewer than
    6·1 answer
  • 10 in.<br> 8 in<br> 12 in.<br> 10 in.<br> What is the area of the given triangle?<br> square inches
    14·1 answer
  • Trish made a few pans of Brownies to sell. Rachel also contributed 5 pans. Each pan of brownies was cut into 12 squares. If ther
    12·1 answer
  • How do you simplify square roots.​
    10·1 answer
  • Help me please it's due at 3pm this is only up to you guys to help me
    6·2 answers
  • Rates and Ratio Test Review
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!