A(n) ____ is a numeric variable used for adding together something.

two mountain bikers leave from the same parking lot and head in opposite directions on two different trails. the first rider goe

sveta [45]

Applying the required rule or theorem, it can be concluded that the second biker is farther from the parking lot. The distance of the bikers to the parking lot are:

i. First biker = 17.0 km

ii. Second biker = 20.22 km

The path of travel of both bikers would form a triangle. Applying the Pythagoras theorem to the path of the first biker would give his distance from the starting point. While applying the cosine rule to the path of second rider would gives his distance to the starting point.

Thus,

a. To determine the distance of the first biker from the parking lot.

Let the required distance be represented by x. Applying the Pythagoras theorem, we have:

$hyp^{2}$ = $adj 1^{2}$ + $adj 2^{2}$

$x^{2}$ = $8^{2}$ + $15^{2}$

= 64 + 225

= 289

x = $\sqrt{289}$

= 17

x = 17 km

Thus, the first biker is 17.0 km from the starting point.

b. To determine the distance of the second biker from the parking lot.

Let the required distance be represented by x. So that applying the cosine rule, we have:

$c^{2}$ = $a^{2}$ + $b^{2}$ - 2ab Cos θ

$x^{2}$ = $8^{2}$ + $15^{2}$ - 2(15*8) Cos (180 - 20)

= 64 + 225 - 240 Cos 160

= 289 - 240 * -0.5

$x^{2}$ = 289 + 120

= 409

x = $\sqrt{409}$

= 20.2237

x = 20.22 km

Thus, the second biker is 20.22 km from the starting point.

Therefore, the second biker is farther from the parking lot.

A sketch of the path of travel for the two bikers is attached for more clarifications.

Visit: brainly.com/question/22699651

7 0

2 years ago

1 +1 2+2 3+3 4+4 5+5 6+6

julsineya [31]

46 i think. sorry if i’m wrong

5 0

3 years ago

Solve the inequality below. Use the drop-down menus to describe the solution and its greah

Solnce55 [7]

Answer:

The solution of the inequality is x ≤ -4. A graph of the solution should have a vertical line passing through x = -4 and be shaded to the left of x = -4

Step-by-step explanation:

-7x + 13 ≥ 41

Subtract 13 from both sides

-7x ≥ 28

Dividing both sides by the -7 changes the inequality sign and we have

x ≤ -4

Hence, the solution of the inequality is x ≤ -4 and the graph of the solution should have a vertical line passing through x = -4 and it should be shaded to the left of x = -4 indicating that only numbers less than or equal to -4 are possible solutions of the inequality.

Hope this Helps!!!

6 0

3 years ago

The graph shows a rectangle that has been rotated. Which statement is FALSE?

lukranit [14]

D. Is the false statement. Clearly, the rectangle was shifted and is no long in its same position

7 0

3 years ago

Read 2 more answers

The volume of the prism shown is 84 cubic yards. What is the Height of the prism

Salsk061 [2.6K]

Answer:

4 yd

Step-by-step explanation:

If l×w×h=v, then v÷l÷w=h

84÷7÷4=h

12÷3=h

h=4

The height of the prism is 4 yards.

4 0

4 years ago