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
masha68 [24]
3 years ago
13

If Samuel travels twenty kilometers north, fifty kilometers south, and forty kilometers west, what is the approximate magnitude

of his total displacement, in kilometers? Find the solution by drawing a diagram. km
​
Mathematics
1 answer:
Gnom [1K]3 years ago
8 0

Answer:

108.75km

Step-by-step explanation:

please find attached the diagram

total displacement can be determined by using Pythagoras theorem

The Pythagoras theorem : a² + b² = c²

where a = length

b = base

c =  hypotenuse

length of x =

20² + 40²

= 400 + 1600

2000

square root of 2000

= 44.72km

length of y

40² + 50²

1600 + 2500 = 4100

square root of 4100

64.03km

total displacement = 44.72 + 64.03 = 108.75

You might be interested in
Greatest To Least -5,1, -7, 0, 6
g100num [7]

Answer:

6,1,0,-5,-7

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
Help!!! Please will give points
galben [10]

Option D:

The solution to the equation is y = 27.

Solution:

Given equation:

$\frac{1}{3} y=9

To solve this equation:

$\frac{1}{3} y=9

Multiply by 3 on both sides of the equation.

$3 \times \frac{1}{3} y=9 \times 3

3 in the numerator and denominator get canceled.

y = 9 × 3

y = 27

The solution to the equation is y = 27.

Option D is the correct answer.

3 0
3 years ago
Write a quadratic equation given the roots -1/3 and 5, show your work
Travka [436]

\boxed{(x - a)(x - b) = 0}

The equation above is the intercept form. Both a-term and b-term are the roots of equation.

x =  -  \frac{1}{3}  \\ x = 5

These are the roots of equation. Therefore we substitute a = - 1/3 and b = 5 in the equation.

(x +  \frac{1}{3} )(x -  5) = 0

Here we can convert the expression x+1/3 to this.

x +  \frac{1}{3}  = 0 \\  3x + 1 = 0

Rewrite the equation.

(3x + 1)(x - 5) = 0

Simplify by multiplying both expressions.

3 {x}^{2}  - 15x + x - 5 = 0 \\ 3 {x}^{2}  - 14x  - 5 = 0

<u>Answer</u><u> </u><u>Check</u>

Substitute the given roots in the equation.

3 {(5)}^{2}  - 14(5)  - 5 = 0 \\ 75 - 70 - 5 = 0 \\ 75 - 75 = 0 \\ 0 = 0

3( -  \frac{1}{3} )^{2}  - 14( -  \frac{1}{3}) - 5 = 0 \\ 3( \frac{1}{9} ) +  \frac{14}{3}  - 5 = 0 \\  \frac{1}{3}  +  \frac{14}{3}  -  \frac{15}{3}  = 0 \\  \frac{15}{3}  -  \frac{15}{3}  = 0 \\ 0 = 0

The equation is true for both roots.

<u>Answer</u>

\large \boxed {3 {x}^{2}  - 14x - 5 = 0}

8 0
2 years ago
16 The perimeter of the pentagon is equal to the perimeter of the square.
STatiana [176]

7x+2

Step-by-step explanation:

add all the sides of the pentagon and make it equal to the perimeter of the square which is 4y

sides of the pentagon are

5x+3

2x+3

7x+4

9x-10

5x+8

28x+8=4y

7x+2 = y

7x+2 = answer

gathmath

gathmathier6961

another way :

in a standardized test you may want to use real numbers

make x equal a prime number like 3

so then the sides are

18

9

25

17

23

=

92

then divide by 4

23

then divide by 3

which is 7 remainder of 2

which is

7x+2

8 0
2 years ago
Given the two sets, what is A ∩ B ? <br><br> A = {1, 2, 3, 4, 5, 6}<br><br> B = {2, 3, 5, 7}
topjm [15]

Answer:

2, 3, 5

Step-by-step explanation:

A∩B means "A intersection B" which includes all elements that are shared in BOTH sets. This would be the middle crossover section of a Venn diagram.

Hence, 2 and 3 and 5 are shared in both sets.

5 0
3 years ago
Other questions:
  • Grammy's Apple Orchard is selling apple cider in 34.7-ounce bottles for $2.09. Grammy's competitor is selling 24.6-ounce bottles
    11·1 answer
  • An Olympic -size swimming pool in the shape of a rectangular solid has a volume of 3150 cubic meters,, a length of 70 meters,, a
    10·1 answer
  • If the diameter of a circle is 9 cm, then its circumference is 56.52 cm.?????
    15·2 answers
  • What would - 1/3*y-6=11 be when solving for y?
    11·1 answer
  • Solve for X. I’m bad at geometry please help me
    11·1 answer
  • How to estamite 787÷2
    13·2 answers
  • -8(20 - 3b) - 5(6b - 4a)
    12·1 answer
  • Find the IQR of the data set from the dot plot.
    5·1 answer
  • A middle school football player, Bo, is just learning how to kick field goals. Currently, he only makes 1/3 of his kicks. A numb
    10·1 answer
  • Someone please help me
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!