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
evablogger [386]
3 years ago
8

You enter a relay race. To start, you must run 20 yards to Checkpoint A. You then must turn and run 12 yards to Checkpoint B. La

st, you must turn and run back to the starting line. What is the distance from Checkpoint B to the starting line? THANKS :)
Mathematics
2 answers:
Anarel [89]3 years ago
7 0

Distance to checkpoint A from starting line = 20 yards.

Then from A to B distance = 12 yards.

Let us take starting point C.

So, it would make a right triangle.

We have AB = 12, AC = 20, we need to find BC, that is Hypotenuse of the right triangle.

According to Pythagoras theorem:

BC^2 = AB^2+AC^2

BC^2 = 12^2+20^2

BC^2 = 144 +400 = 544

BC= \sqrt{544}

BC = 23.32.

<h3>Therefore,  23.32 yards is the distance from Checkpoint B to the starting line.</h3>
ella [17]3 years ago
6 0

Answer:

The shortest distance between checkpoint A and checkpoint B is 23.33 yards.        

Step-by-step explanation:

We are given the following information in the question:

Let O be the starting point.

Distance between the starting point and checkpoint A = 20 yards

To reach checkpoint B, one need to take a turn and let it be a 90 degrees turn toward right or left.

Distance between checkpoint A and checkpoint B = 12 yards

In order to find the shortest distance between the checkpoint A and checkpoint B, the displacement, we use the Pythagoras theorem.

Statement:

In  a right angled triangle:

(Side 1)^2 + (Side 2)^2 = (Hypotenuse)^2

(OA)^2 + (AB)^2 = (AB)^2\\(20)^2 + (12)^2 = (AB)^2\\400 + 144 = (AB)^2\\(AB)^2 = 544\\AB = \sqrt{544} \approx 23.33

Hence, the shortest distance between checkpoint A and checkpoint B is 23.33 yards.

You might be interested in
Mark the number line to show 1/4. Label 0 and 1 on the number line
emmainna [20.7K]
0 -1/8 -1/4 -1/2 -1
5 0
2 years ago
31 out of 50 is what percent
Snowcat [4.5K]
31 out of 50 is 62%

Divide 31 over 50:
\frac{31}{50} = 0.62

Multiply 0.62 and 100. This will convert the decimal to a percentage:
0.62 \times 100 = 62
5 0
3 years ago
Read 2 more answers
If Kevin wants a 90 average in math after 5 tests and his first 4 tests are 76, 92, 89 and 97 what does he need on the fifth tes
Keith_Richards [23]
You need to understand that you're solving for the average, which you already know: 90. Since you know the values of the first three exams, and you know what your final value needs to be, just set up the problem like you would any time you're averaging something.
Solving for the average is simple:
Add up all of the exam scores and divide that number by the number of exams you took.
(87 + 88 + 92) / 3 = your average if you didn't count that fourth exam.
Since you know you have that fourth exam, just substitute it into the total value as an unknown, X:
(87 + 88 + 92 + X) / 4 = 90
Now you need to solve for X, the unknown:
87
+
88
+
92
+
X
4
(4) = 90 (4)
Multiplying for four on each side cancels out the fraction.
So now you have:
87 + 88 + 92 + X = 360
This can be simplified as:
267 + X = 360
Negating the 267 on each side will isolate the X value, and give you your final answer:
X = 93
Now that you have an answer, ask yourself, "does it make sense?"
I say that it does, because there were two tests that were below average, and one that was just slightly above average. So, it makes sense that you'd want to have a higher-ish test score on the fourth exam.
4 0
3 years ago
Read 2 more answers
39.96÷6 with explanation​
solmaris [256]

Answer:

39.96/6=6.66

Do the long division

39/6=6 R3

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
1- The Canada Urban Transit Association has reported that the average revenue per passenger trip during a given year was $1.55.
serg [7]

Answer:

0.5

0.9545

0.68268

0.4986501

Step-by-step explanation:

The Canada Urban Transit Association has reported that the average revenue per passenger trip during a given year was $1.55. If we assume a normal distribution and a standard deviation of 5 $0.20, what proportion of passenger trips produced a revenue of Source: American Public Transit Association, APTA 2009 Transit Fact Book, p. 35.

a. less than $1.55?

b. between $1.15 and $1.95? c. between $1.35 and $1.75? d. between $0.95 and $1.55?

Given that :

Mean (m) = 1.55

Standard deviation (s) = 0.20

a. less than $1.55?

P(x < 1.55)

USing the relation to obtain the standardized score (Z) :

Z = (x - m) / s

Z = (1.55 - 1.55) / 0.20 = 0

p(Z < 0) = 0.5 ( Z probability calculator)

b. between $1.15 and $1.95?

P(x < 1.15)

USing the relation to obtain the standardized score (Z) :

Z = (x - m) / s

Z = (1.15 - 1.55) / 0.20 = - 2

p(Z < - 2) = 0.02275 ( Z probability calculator)

P(x < 1.95)

USing the relation to obtain the standardized score (Z) :

Z = (x - m) / s

Z = (1.95 - 1.55) / 0.20 = 2

p(Z < - 2) = 0.97725 ( Z probability calculator)

0.97725 - 0.02275 = 0.9545

c. between $1.35 and $1.75?

P(x < 1.35)

USing the relation to obtain the standardized score (Z) :

Z = (x - m) / s

Z = (1.35 - 1.55) / 0.20 = - 1

p(Z < - 2) = 0.15866 ( Z probability calculator)

P(x < 1.75)

USing the relation to obtain the standardized score (Z) :

Z = (x - m) / s

Z = (1.75 - 1.55) / 0.20 = 1

p(Z < - 2) = 0.84134 ( Z probability calculator)

0.84134 - 0.15866 = 0.68268

d. between $0.95 and $1.55?

P(x < 0.95)

USing the relation to obtain the standardized score (Z) :

Z = (x - m) / s

Z = (0.95 - 1.55) / 0.20 = - 3

p(Z < - 3) = 0.0013499 ( Z probability calculator)

P(x < 1.55)

USing the relation to obtain the standardized score (Z) :

Z = (x - m) / s

Z = (1.55 - 1.55) / 0.20 = 0

p(Z < 0) = 0.5 ( Z probability calculator)

0.5 - 0.0013499 = 0.4986501

3 0
3 years ago
Other questions:
  • The perimeter of a rectangle is 256 inches. how long are the sides if the length exceeds the width by 16 inches? mark lets x rep
    7·2 answers
  • How do I do #8? <br><br> Pleas explain thank you
    9·2 answers
  • The sum of two positive integers, a and b, is at least 30. The difference of the two integers is at least 10. If b is the greate
    6·2 answers
  • When a baby panda is born, it is 6cm in length. Every week after this, its size increases by 5 cm. Write an equation in slope in
    10·1 answer
  • 1. What is the difference between 6 and 3<br> A. 6+3<br> B. 6-3<br> C. 6/3<br> D. 6x3
    6·2 answers
  • PLEASE HELP... (25 POINTS)
    12·1 answer
  • What is the factored form of the expressiom 24g3+20g2-18g-15
    11·1 answer
  • Can you please help me with this last question? I'm stuck​
    9·1 answer
  • Simplify 3 10 +7 15- 6 10 -4 15<br> O 3/10-315<br> O 315-3110<br> O 3130 -3120<br> O 3120-3130
    13·1 answer
  • The product of 1/2 and 2/15 is a/an ________________.
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!