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
AlladinOne [14]
3 years ago
9

Yan is running on a track that is of a km long. She can run 4 laps in 12

Mathematics
1 answer:
sashaice [31]3 years ago
7 0

Answer:

3 km per minute

Step-by-step explanation:

12/4=3 laps

3 km per minute

You might be interested in
Sketch the graph of a function f for which f(0)=0,f'(0)=3,f'(1)=0, and f'(2)= -1
vichka [17]
I think you have to sketch the graph
8 0
3 years ago
The vertices of a square CDEF are C(1,1), D(3,1), E(3,-1) and F(1,-1). What formulas prove that the diagonals are congruent perp
Oxana [17]

To prove that the diagonals are congruent, you need to formula to compute the distance between two points:

d(A,B) = \sqrt{(A_x-B_x)^2 + (A_y-B_y)^2}

Using that formula, you may prove that d(C,E) = d(D,F), which means that the two diagonals have the same length.

To prove that they are perpendicular, you need the formula to compute the slope of a segment. The slope, knowing the enpoints, is given by

m = \cfrac{\Delta y}{\Delta x} = \cfrac{A_y-B_y}{A_x-B_x}

You can use this formula to prove that

m_{CE} = -\cfrac{1}{m_{DF}}

In fact, if one slope is the opposite of the reciprocal of the other, the two segments are perpendicular.

Finally, to prove that they bisect each other, you first need to find the point where they meet. First of all, you need to find the line the segments lie on: the formula is

y-y_0 = m(x-x_0)

where (x_0,y_0) is one of the points belonging to the line, and you already know how to find the slope. Then, you find the point of intersection, say A, by solving the system involving the two lines:

\begin{cases} y= m_{CE}x+q_{CE}\\ y = m_{DF}x+q_{DF} \end{cases}

And use again the formula for the distance between two points to prove that

d(A,C) = d(A,D) = d(A,E) = d(A,F)

4 0
3 years ago
A girl found dress fo £65.50 and there was an 15% sale on
Alika [10]

Answer: $65.50 - 15% = 55.675


Step-by-step explanation:

Conversion a decimal number to a fraction: 65.50 = 655

10

= 131

2

Conversion a decimal number to a fraction: 9.825 = 9825

1000

= 393

40

Subtract: 65.5 - 9.825 = 131

2

- 393

40

= 131 · 20

2 · 20

- 393

40

= 2620

40

- 393

40

= 2620 - 393

40

= 2227

40


The common denominator you can calculate as the least common multiple of the both denominators - LCM(2, 40) = 40

4 0
3 years ago
Read 2 more answers
Which graph represents this system? <br> 2x-5y=-5<br> Y=2/5x+1
zhenek [66]

both equations line up

7 0
2 years ago
Read 2 more answers
How much would $200 invested at 6% interest compounded annually be worth after 5 years? Round your answer to the nearest cent. D
BartSMP [9]
The answer is 267.65

A = P(1 + r/n)ⁿˣ
A - the future value
P - the principal
r - the annual rate
n - the number of compoundings per year
x - the period of time

We know:
A = ?
P = $200
r = 6% = 6%/100% = 0.06
n = 1 (annualy means once per year)
x = 5

A = P(1 + r/n)ⁿˣ
A = 200 * (1 + 0.06/1)¹*⁵
A = 200 * (1 + 0.06)⁵
A = 200 * (1.06)⁵
A = 267.65
4 0
3 years ago
Other questions:
  • X, 5 x/4, 9/2 find the first term x and the common difference d
    12·1 answer
  • patrick drank 3/4 liters of water on wednesday before going jogging and 4/5 liter of water after his jog . how much water did pa
    9·2 answers
  • What is 0.5, 3/16, 0.75, 5/48 to Least to greatest?
    5·1 answer
  • Determine whether a triangle with sides 12 cm, 14 cm and 18 cm is an acute, right or obtuse triangle.
    9·1 answer
  • PLZ HELP 40 MINUTES LEFT
    10·2 answers
  • A cone has a height of 20 centimeters and a radius of 18 centimeters. What is its volume?
    15·1 answer
  • Multiply.
    13·2 answers
  • Can someone help on this please
    14·2 answers
  • The nature park has a pride of 7 adult lions and 4 cubs. The adults eat 6 pounds of meat each day and the cubs eat 3 pounds. Sim
    11·1 answer
  • Blake collects coins. he collected a total of 150 coins. if 84% of the coins he collected were foreign,
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!