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
REY [17]
3 years ago
14

Tony took a city bus from his dorm to the school library, and then to a gym for a workout

Mathematics
1 answer:
Feliz [49]3 years ago
6 0

Answer:

27 miles.

Step-by-step explanation:

Here I attach the draw of the coordinates.

Tony traveled 3 segments. The first was from (12,6) to (12, 15), where, leting 12 constant, he moved from 6 to 15 in the ordinates axis, which implies 9 units. This is the section 1 in the draw.

Then he moved from point B to C. If you notice, this distance is the hypotenuse on the the triangle DBC. We can find this value using Pitagoras' theorem:

DB^2 + CD^2 = CB^2

With DB=15 and CD=8 (12 minus 4 = 8)

15^2 + 8^2 = 289

So CB^2=289

Applying sqr root:

CB = 17

So, the second section has a measure of 17 units.

Finally, the 3rd section is the hypotenuse of the DAC triangle and we can use Pitagoras to solve it:

CD^2 + AD^2 = CA^2

8^2 + 6^2 = CA^2

64 + 36 = 100

So, CA=10

In the 3r section we traveled 10 units.

So, in total he traveled 10 + 17 + 9 = 36 units

As every unit is 0.75 miles he traveled 36*0.75 miles:

36*0.75 = 27 miles

He traveled in total 27 miles!!

You might be interested in
A box of marbles can be shared equally among 6,7,or 8 students with 4 marbles left over each time.what is the least possible num
elena-s [515]

168 is the least common multiple of 6,7,and 8


8 0
3 years ago
Consider function g. Which function could be the inverse of function g? PLEASE HELP !
Bingel [31]

Answer:

The answer is D

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
Choose the letter that you think best answers the question.
liq [111]

Answer: 1)

a combination

b permutation

c  permutation

d permutation

2)

B coz 6 and 11 is the only combination which can have 462 possibilities as they r both factors of 462

4 0
3 years ago
16. What is the area of the shaded region in terms of Tr? [20 points]
tangare [24]
Area of the circle outside
= πr2
= π(5)2
=25 π

Area of the bigger circle inside
= π x(3)2
= 9 π
Area of the smaller circle inside
= π x (2)2
= 4 π

Area of shaded region
= 25π - 9π - 4π
= 12π square unit
6 0
2 years ago
A food manufacturer uses an extruder (a machine that makes bite size cookies)that yields revenue for the firm at a rate of $200
julsineya [31]

Answer:

$1300

Step-by-step explanation:

The extruder yields a revenue of $200per hour

Y denotes the number of breakdown per day.

The daily revenue generated is given as

R = 1600 - 50Y^2

We have an average of 2 breakdown per day

Lamda = 2

Represent lamda as β

E(Y) = β

E(Y(Y-1)) = β^2

E(Y^2) = E[Y(Y-1)] + E(Y)

= β^2 + β

E(R) = E(1600 - 50Y^2)

= 1600 - 50E(Y^2)

= 1600 - 50(β^2 +β)

Recall that β = lamda = 2

= 1600 - 50(2^2 + 2)

= 1600 - 50(4+2)

= 1600 - 50(6)

= 1600 - 300

= 1300

$1300

The expected daily revenue of the extruder is $1300

3 0
3 years ago
Other questions:
  • Find 1722 divided by 6 then estimate to check if your answer is reasonable
    13·2 answers
  • 2. How many 4-digit even numbers greater then 4,999 can be made(using the digits 0-9?
    8·1 answer
  • Please help: y − 5x = 3<br> solve for y.
    5·1 answer
  • How do I solve this? Whats the answer?
    15·1 answer
  • 30 Points!!! What is the simplified form?
    11·2 answers
  • Find the 7th term of the geometric sequence -5, 15, 45, 135, 405,...
    6·1 answer
  • Do the sides 4, 5, and 6 form a Pythagorean Triple?
    8·2 answers
  • Write a recursive formula for the arithmetic sequence:<br><br> 7,4,1,-2
    11·2 answers
  • Put the following equation of a line into slope intercept form,simplifying all fractions 4x-4y=36
    13·1 answer
  • Evaluate 5t + 4 if t=3<br><br><br> PLEASE HURRY! I'M TIMED!
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!