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wolverine [178]
3 years ago
10

The product of seven plus two and eight minus two

Mathematics
1 answer:
Finger [1]3 years ago
4 0

Answer:

56

Step-by-step explanation:

type in calculator 7*((2+8)-2)

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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 <em>rule </em>or <em>theorem</em>, it can be concluded that the second biker is <u>farther</u> from the <em>parking lot</em>. The distance of the bikers to the <em>parking lot</em> are:

i. First biker = 17.0 km

ii. Second biker = 20.22 km

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

Thus,

a. <u>To determine the distance of the first biker from the parking lot.</u>

Let the required <em>distance </em>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 <u>first</u> biker is 17.0 km from the <em>starting</em> point.

b. <u>To determine the distance of the second biker from the parking lot.</u>

Let the required <em>distance</em> 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 <u>second</u> biker is 20.22 km from the <em>starting</em> point.

Therefore, the second biker is <u>farther</u> from the <em>parking lot</em>.

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, <u><em>12</em></u>, 24

60: 1, 2, 3, 4, 5, 6, 10 , <u><em>12</em></u>, 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
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