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
xxTIMURxx [149]
3 years ago
15

On a map the distance from Fort Collins to Cheyenne is 3.2 inches. The angle formed at Laramie has measure 43.6º, and the angle

formed at Fort Collins has measure 46.5º. If one inch on the map is equal to 10.6 miles, find the distance from Cheyenne to Laramie to the nearest whole mile
Mathematics
1 answer:
MArishka [77]3 years ago
7 0
We can solve this by drawing a triangle with three points. The first point at Fort Collins (F), the second at Cheyenne (C) and the third at Laramie (L).

The angle at F = 46.5, the angle at L = 43.6. We know the side opposite angle L = 3.2 (side FC), now we must solve for the side opposite angle F (side LC).

We can use the law of sines to solve this where:

sinA/a = sinB/b
sin43.6/ 3.2 = sin46.5/LC
LC = 3.2 (sin46.5/sin43.6)
LC = 3.37 inches

We are told 1 in = 10.6 miles, therefore:

3.37 inches x 10.6 miles/in = 36 miles from Laramie to Cheyenne.
You might be interested in
TRY IT Solve and support your thinking
iris [78.8K]

Answer:

45 hihihihihihihihihihihihih

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
Because of the fear of player injury, the San Francisco Seals give their
castortr0y [4]

Answer:22

Step-by-step explanation:

22

5 0
2 years ago
2. Find the measure of the central angle.*
11111nata11111 [884]

Answer: The central angle is 59 degrees.

Step-by-step explanation:

The sector or Arc Length is 59 degrees and the central angle is also 59 degrees, because the central angle equals the same measurement as the sector.

5 0
3 years ago
Chelsey put for $450 into an account with a simple interest rate of 2.5% when she withdrew the money she had earned a total of $
fgiga [73]

Answer:

5.66 years

Step-by-step explanation:

450 x 1.025^(n) = 450 + 67.50

450 x 1.025^(n) = 517.50

1.025^(n) =(517.50 / 450)

1.025^(n) = 1.15

n = ln(1.15) / ln(1.025)

n = 5.66

6 0
3 years ago
Find the missing term in each pair of equivalent ratios<br> 24: 96 = 5 : ?
ExtremeBDS [4]

Answer:

follow pcllord on twitch

Step-by-step explanation:

a content creator on the pogg champ smp

8 0
3 years ago
Other questions:
  • Pleasee help me with this problemm
    9·2 answers
  • Precalculus question. Please help me and thank you .
    8·1 answer
  • If you vertically stretch the absolute value parent function, f(x) = |x|, by a factor of 5, which is the equation of the new fun
    8·1 answer
  • 2 5/8oz if you use a thrid of it how much is she gone have left over
    7·1 answer
  • The circle given by x^2+y^2-6y-12=0 can be written in standard form like this: x^2+(y-k)^2=21 What is the value of k in this equ
    15·2 answers
  • The table shows the amount of money that Bradford saved in his savings account after different amounts of time.
    14·2 answers
  • Which solid has six faces, four lateral faces, two bases, eight vertices, and 12 edges?
    11·1 answer
  • Brian is wrapping a present. If his box is in the shape of a cube with a side length of 7 inches, what is the minimum amount of
    9·1 answer
  • Help!!! What is the difference ? (x - 8)/(3x) - (3x)/(x ^ 2)
    7·2 answers
  • Add the following<br> -5+(-7)+9+(-3)<br> - 5+(-7)+9+(-3)=(Simplify your answer.)
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!