answer.
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
zhenek [66]
2 years ago
5

Two cyclists leave the corner of State Street and Main Street simultaneously. State Street and Main Street are not at right angl

es; the cyclists' paths have an angle of 135° between them. How far apart are the cyclists after they each travel 3 miles?

Mathematics
1 answer:
nalin [4]2 years ago
7 0

Answer:

  5.543 miles

Step-by-step explanation:

The law of cosines can help with this. It relates side "c" of a triangle to the other two sides (a, b) and the angle between them (C).

  c² = a² +b² -2ab·cos(C)

  c² = 3² + 3² -2·3·3·cos(135°) = 18(1 -cos(135°)) ≈ 30.7279

  c ≈ √30.7279 ≈ 5.543 . . . . miles

You might be interested in
Tim explained a function in words and Paul wrote an equation. Tim: The amount of money in a savings account increases at a rate
masya89 [10]
D .........is the answer
4 0
2 years ago
Statements and reasonings 2(4x+2)=20
Katarina [22]

distribute-   8x+4=20

subtract-    8x=20

divide-      20/8=x

answer-   x=2.5


6 0
2 years ago
A particular rocket taking off from the earth surface uses fuel at a constant rate of 12.5 gallons per minute the rocket initial
faltersainse [42]

Answer:

y=12.5x+225

Step-by-step explanation:

Let

x ----> the number of minutes

y ----> the amount of fuel in gallons

we know that

The linear equation in slope intercept form is equal to

y=mx+b

where

m is the unit rate or slope

b is the y-intercept or initial value

we have that

The unit rate or slope is equal to

m=12.5\ \frac{gal}{min}

b=225\ gal ----> initial value (value of y when the value of x is equal to zero)

substitute

y=12.5x+225

3 0
2 years ago
Four trucks were used to make deliveries. The drivers recorded the number of miles driven and the amount of gasoline used. Truck
deff fn [24]

Answer: Truck C

Step-by-step explanation: 14:1

8 0
2 years ago
Read 2 more answers
The flathead rail tunnel in Montana is about 7 3/4 miles long. A train travels at a speed of 3/4 mile per mile minute.how long w
kogti [31]
7 3/4 × 3/4 = So u add 3×3=9
Then add 4×4=16 Give you 9/16
Then you add that 7 you left out with 9/16
But just the 9 not the 16
7 × 9 = 63 And your answer is 63/16
Hope i help :-)
5 0
2 years ago
Read 2 more answers
Other questions:
  • Mrs.Helio has 2 3/4 acres of farmland. she will plant corn on 1/4 of this land, potatoes on 1/12 of the land, wheat on 5/8 of th
    8·1 answer
  • ΔDEF rotates 90° clockwise about point A to create ΔD 'E 'F. Therefore, which equation must be true?
    6·2 answers
  • Find the perimeter of the polygon defined by the coordinates (5, 12), (12, 0), (0, 0), and (-4, 12). (Round to nearest tenth) A)
    13·2 answers
  • The formula for finding the interest on a loan is I = prt. Jack borrows $2,000 for 2 years at a rate of 2%. How much interest wi
    11·2 answers
  • 47. You and a friend are picking up trash on a beach.
    10·2 answers
  • The frequency distribution below represents the rents of 250 randomly selected federally subsidized apartments in Washington D.C
    12·1 answer
  • A circle with radius of \greenD{5\,\text{cm}}5cmstart color #1fab54, 5, start text, c, m, end text, end color #1fab54 sits insid
    10·2 answers
  • Students voted on a school trip. 56 voted for the museum, 86 for the nature center, 172 for the state capital, and 116 for other
    9·1 answer
  • If I do this with 4 and 5 - I get 29. If I do the same thing with 4 and 6 - I get 40. Thesame thing again to 8 and 9 gives me 89
    13·1 answer
  • Martina used 3 4 of a bottle of conditioner in 7 12 of a year. How much conditioner would she use in a full year?
    8·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!