The product of seven plus two and eight minus two

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

Show how to determine the simplest form of by first finding the greatest common factor of 24 and 60

natima [27]

Answer:

The greatest common factor would be 12.

Step-by-step explanation:

24: 1, 2, 3, 4, 6, 8, 12, 24

60: 1, 2, 3, 4, 5, 6, 10 , 12, 15, 20, 30, 60

Hope it helps!

4 0

3 years ago

Q # 7 please help to solve

Neko [114]

The fourth choice - 5/104.

In one cube, there are 3 even numbers - 2,4,6. For two cubes, the total probability is 36.
3*3 / 36 = 9/36

For letters, there are five vowels over 26 letters = 5 / 26

Multiply the two probabilities to get the probability of rolling two even numbers and selecting one of the vowels.
9/36 * 5/26 = 5/104

6 0

3 years ago

Imma keep on saying this I understand some of it but not all againnnn I’m sorryyy

Mariulka [41]

Answer:

6) The answer is 210p - 105

7) The answer is -124q + 216

Step-by-step explanation:

1. Always Distributive Property first

6) -14 (8 - 15p) 7) -12 ( -18 + 10q)

-112 +210p 216 -120q

2. Combine like terms

6) -112 + 7 = -105 your full answer is 210p -105

7) -120q + -4q = -124q Your full answer is -124q +216.

Hope this helps.

6 0

3 years ago

How does finding the greatest common factor help you to solve real world problem

Mashcka [7]

Greatest Common Factors (GCF) can help you in real life problems with fractions and measuring things. Below is a real life example.

Let's say you want to send cookies into one of two classes and want to make sure you have an even number per student. You know that one class has 8 students and the other has 10 students. How many cookies do you make?

Answer: All you have to do is figure out the biggest number that goes into each number equally (division). In this case the answer would be 2.

If i helped please comment below smiley And i hope i helped you!

4 0

3 years ago