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
mart [117]
2 years ago
9

A bicycle race follows a triangular course. The 3 legs of the race are, in order, 2.3 km, 5.9 km, 6.2 km. Find the angle between

the starting leg and the finishing leg, to the nearest degree.
How did you get the answer?
Mathematics
2 answers:
Bogdan [553]2 years ago
7 0

Answer:

72°

Step-by-step explanation:

when we have all the sides and need an angle, we use the law of cosine (the extended Pythagoras) :

c² = a² + b² - 2ab×cos(C)

where c is the side opposite of the angle C.

so, since the starting leg is 2.3 km, and the finishing leg is 6.2 km, we know that 5.9 km is the side opposite of the angle between the starting and finishing legs.

so, we have

5.9² = 2.3² + 6.2² - 2×2.3×6.2×cos(C)

34.81 = 5.29 + 38.44 - 28.52×cos(C)

-8.92 = -28.52×cos(C)

cos(C) = -8.92/-28.52 = 0.312762973...

C = 71.77418076...° ≈ 72°

Bess [88]2 years ago
3 0

Answer:

About 71.77 degrees

Step-by-step explanation:

The starting leg is 2.3 km and the finishing leg is 6.2 km.

Using the law of cosines C^2 = A^2 + B^2 -2AB*cos(c) where A = 2.3 km, B = 6.2 km, C = 5.9 km, and angle c is the opposite angle to side C, we get:

5.9^2 = 2.3^2 + 6.2^2 -2(2.3)(6.2)*cos(c)

cos(c) = -(5.9^2 - 2.3^2 - 6.2^2)/(2*2.3*6.2)

c = 71.77 degrees

You might be interested in
A baby was born on November 1. The table gives the length of the baby on three
ch4aika [34]

Answer:

The first one to your left

Step-by-step explanation:

6 0
2 years ago
Please help me on number 5! asap please!
kirill115 [55]
The answer is 13 you subtract 25 and 12
3 0
3 years ago
PLEASE HELP, 50 POINTS! This is a triangle investigation.
mylen [45]
A) they fornite a right angle and 2 acute angles(not 100% sure of what the Questions is asking)


B) they appear to form a triangle

C) the angles add up to 180 as they always do in all triangles





















B)
5 0
2 years ago
Read 2 more answers
PLEASE HELP ME ASAP
Vladimir [108]

Answer:

(0, 75), (75, 0), (-75, 0), (0, -75)

Step-by-step explanation:

I used desmos graphing calculator. c:

7 0
2 years ago
PLEASE HELP!!!!!
leva [86]

Answer:

11.7 units

Step-by-step explanation:

sq root(2--4)^2+(-7-3)^2

sq root(6)^2 + (-10)^2

sq root (36)+(100)

sq root 136

equals 11.66 which rounds up to 11.7

6 0
3 years ago
Other questions:
  • If the width of a rectangle is x + 1 x and its length is 3x x2 - 1 , then its area is
    10·2 answers
  • at the middle school graduation dance, the dj played 12 slow dances, which was equal to the quotient of the number of fast dance
    5·1 answer
  • The perimeter of a trapezoid is 39a-7. Three sides have the following lengths : 9a, 5a + 1 and 17a -6
    5·1 answer
  • 20 points. i will mark brainliest. pls hurry.
    9·2 answers
  • The following is a student’s work when solving for y. There is a mistake in the work. What is the mistake? What is the correct a
    9·1 answer
  • Question : 4x -8 = -4 (11+2x)<br> What’s the answer?
    12·1 answer
  • Solve the equation for x. 25x = 275 <br><br>x =​
    12·1 answer
  • Solve the following system. y = 2x2 - 3x - 4 and y + x = 8. Enter the solution with the smaller x value first. The solutions are
    8·1 answer
  • What is 7-(-19)-18(-19)+18
    5·1 answer
  • Briana received a 10-year subsidized student loan of $26,000 at an annual interest rate of 4.125%. Determine her monthly payment
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!