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
tekilochka [14]
3 years ago
9

On a scale drawing of a park, the length of a trail is 12 cm from the playground to the pond and 15 cm from the pond to the park

ing lot. If the actual length of the trail from the pond to the parking lot is 60 m, what is the actual length of the trail between the playground and the pond? (Represent/Solve)
a. Define and determine a variable to help solve the problem: (remember look at what the problem is asking)
b. What two things are being compared?
c. Set up a proportion equation using your answer to b (remember “like” units
should be in same place in the proportion)
d. Fill in numbers to your proportion equation using the information from the
problem
e. Use your proportion to solve the problem (remember cross product strategy)
Mathematics
1 answer:
Katen [24]3 years ago
8 0

Answer:

The answer is 48 m

Step-by-step explanation:

In this situation,

15 cm = 60 m  

which means 1 cm = 60/15 m = 4m

therefore,

length of the trail between the playground and the pond in scale drawing= 12 cm

since, 1 cm= 4 m

therefore, 12 cm = 12*4 m = 48 m

the actual length of the trail b/w playground and pond = 48m

You might be interested in
What is the distance between 15 miles east and 12 miles west?
inysia [295]

Answer:

27 miles.

Step-by-step explanation:

if you count from the 15 miles from the east to the 12 miles in the west, it would add up to 27. hope this helped

7 0
3 years ago
Question : In the given figure , ∆ APB and ∆ AQC are equilateral triangles. Prove that PC = BQ.
lorasvet [3.4K]

Answer:

See Below.

Step-by-step explanation:

We are given that ΔAPB and ΔAQC are equilateral triangles.

And we want to prove that PC = BQ.

Since ΔAPB and ΔAQC are equilateral triangles, this means that:

PA\cong AB\cong BP\text{ and } QA\cong AC\cong CQ

Likewise:

\angle P\cong \angle PAB\cong \angle ABP\cong Q\cong \angle QAC\cong\angle ACQ

Since they all measure 60°.

Note that ∠PAC is the addition of the angles ∠PAB and ∠BAC. So:

m\angle PAC=m\angle PAB+m\angle BAC

Likewise:

m\angle QAB=m\angle QAC+m\angle BAC

Since ∠QAC ≅ ∠PAB:

m\angle PAC=m\angle QAC+m\angle BAC

And by substitution:

m\angle PAC=m\angle QAB

Thus:

\angle PAC\cong \angle QAB

Then by SAS Congruence:

\Delta PAC\cong \Delta BAQ

And by CPCTC:

PC\cong BQ

5 0
3 years ago
Read 2 more answers
Need help and will be giving Brainliest
Katena32 [7]

Answer:

x-intercept (s):

For this case h (x) = 0

x2 - 2x - 8 = 0

(x-4) * (x + 2) = 0

x1 = 4

x2 = -2

y-intercept:

For this case x = 0

h (0) = (0)2 - 2 (0) - 8

h (0) = - 8

vertex:

We derive the equation:

h '(x) = x2 - 2x - 8

h (x) = 2x - 2

We match zero:

2x-2 = 0

x = 2/2

x = 1

We evaluate the function for x = 1

h (1) = (1)2 - 2 (1) - 8

h (1) = 1 - 2 - 8

h (1) = -9

The vertex is:

(1, -9)

axis of symmetry of the function:

x = 1

Step-by-step explanation:

hope it helps

6 0
3 years ago
The two-way frequency table shows the results of a survey of a certain forest. Find the probability that a randomly chosen tree
REY [17]
Just read the table! 

<span>From "the probability that a randomly chosen tree": </span>
<span>    ⇒ How many Trees? </span>
<span>Write the denominator. </span>

<span>From "will be a California redwood tree taller than 300 ft"" </span>
<span>    ⇒ How many California redwood tree taller than 300 ft? </span>
<span>Write the numerator. </span>

<span>Done.

I hope my answer has come to your help. Thank you for posting your question here in Brainly. We hope to answer more of your questions and inquiries soon. Have a nice day ahead!
</span>
7 0
3 years ago
Read 2 more answers
What is the solution to 90 - 6 &lt; 21?​
Virty [35]

Answer:

Step-by-step explanation:

How can 90-6<21 when 90-6=84>21?

5 0
3 years ago
Other questions:
  • Please help when you have time ^_^
    5·1 answer
  • Look at the drawing of a triangle within a rectangle triangle in the rectangle have the same base and height is the area of a tr
    14·1 answer
  • What is 3/5(15k+10)=12k-9 in steps
    8·1 answer
  • PLEASE HELP!!!!!!!!!!!!! (15 points)
    6·2 answers
  • Which of these are mathematical laws that help us solve numerical problems? decimals graphs formulas percentages fractions
    12·2 answers
  • How many times will interest be added to the principal in one year if the interest is compounded semiannually?
    9·2 answers
  • 30 POINTS NO CAP PLEASE HELP ME NEED RIGHT ANSWER<br> 2 different question
    5·1 answer
  • A triangle has side lengths of (8b – 10c) centimeters, (8b – 4d) centimeters, and
    11·2 answers
  • An electrician charges $45 for each home visit plus $19.95 every hour he spends working. Which sentence could be used to find C,
    14·1 answer
  • Please help, I keep getting bots. <br> Using front-end estimation, find a reasonable estimate of:
    15·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!