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Olegator [25]
2 years ago
10

5. As two boats are coming to the end of a race, a top view of their positions is

Mathematics
1 answer:
Dafna1 [17]2 years ago
8 0

The distance of the boat on the right to the finish line is 297.29 m and the distance of the boat on the left to the finish is 294.11 m, so the boat on the left will reach the finish line faster.

<h3>How do you know which boat will reach the finish line faster? </h3>

The image shows two triangles of which we know an angle and the value of the opposite leg. Therefore, we can perform a mathematical operation to know the value of the hypotenuse of these triangles, which would be the distance of the boats to the goal as shown below.

h = hypotenuse

  • Right Boat

Sen 22° =  \frac{110 m}{h}

h = \frac{110 m}{ Sin 22}

h = \frac{110 m}{0.37}

h = 297,29 m

  • Left boat

Sen 20° = \frac{100}{h}

h = \frac{|00 m}{ Sin 20}

h = \frac{100 m}{0.34}

h = 294,11 m

According to the above, the distance of the boat on the left is less, so it can be inferred that this boat will reach the finish line faster.

Learn more about triangles in: brainly.com/question/2269348

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1. Given the below sequence: -1, -3, -5, -7, . . . (a) What are the next 3 terms? (b) Is this an arithmetic or geometric sequenc
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Answer:

(a) -7 , - 9 , - 11

(b) Arithmetic sequence

(c) There is a common difference of -2

(d) -53

Step-by-step explanation:

(a) To find the next three terms , we must firs check if it is arithmetic sequence or a geometric sequence . For it to be an arithmetic sequence , there must be a common difference :

check :

-3 - (-1) = -5 - (-3) = -7 - (-5)  = -2

This means that there is a common difference of -2 , which means it is an arithmetic sequence.

The next 3 terms we are to find are: 5th term , 6th term and 7th term.

t_{5} = a + 4d

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t_{5} = - 9

6th term = a +5d

t_{6} = -1 + 5(-2)

t_{6} = -1 - 10

t_{6} = - 11

t_{7} = a + 6d

t_{7} = -1 + 6 (-2)

t_{7} = -1 - 12

t_{7} = -13

Therefore : the next 3 terms are : -9 , -11 , - 13

(b) it is an arithmetic sequence because there is a common difference which is -2

(c) Because of the existence of common difference

(d) t_{27} = a + 26d

t_{27} = -1 + 26 ( -2 )

t_{27} = -1 - 52

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Please help...trying to help my son with Alegebra, but it's been 30 years.
xz_007 [3.2K]
Wait it says ur in high school so u can't be over 30. that isn't possible. So what's the problem here? not good at math.
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