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Elena L [17]
3 years ago
9

Rate of Change- A scuba diver is 30 feet below the surface of the water 10 seconds after he entered the water and 100 feet below

the surface after 40 seconds. What is the scuba divers rate of change? Can you tell me how to work this out, I don't want a plain answer because I would like to do this on my own. Thanks :)
Mathematics
1 answer:
nirvana33 [79]3 years ago
3 0
We can create two points.

30 feet below the surface of the water 10 seconds after he entered the water
100 feet below the surface after 40 seconds

So we have (10, 30) and (40, 100)

Plug this values into the slope formula:

m = y2-y1/x2-x1

m = (100 - 30)/(40 - 10)

m = 70/30

m = 2 1/3
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What is the length of the hypotenuse of the right triangle if one side is 16in and one is 7in?
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Answer:

hypotenuse = 17.46

Step-by-step explanation:

The Pythagorean Theorem is a^2+b^2=c^2.

Since we are finding the hypotenuse, we must plug in 16 and 7 since they represent the lengths of both side.

16^2+7^2=c^2

256+49=c^2

305=c^2

which means we have to find the square root of c^2 AND 305, round it to the nearest hundredth, which means that;

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Find the small positive integer solution that solves the equation. if there is no solution, type NONE.
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9514 1404 393

Answer:

  x = 7

Step-by-step explanation:

The equation can be rewritten to ...

  8x = 13n +4 . . . . for some integers x and n

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For x to be an integer, 13n must be an odd multiple of 4. Since 13 is an odd number, n=4 will do.

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3 years ago
Whoever can answer all of these will get brainless
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Firstly, brainly allows 1 question per question. So do not try this again.

Lets make the fractions all like terms.


242/4 - 37/4=205/4. Lets now make this a mixed fraction.
By doing 205/4, we find out that 4 goes in less than 51 times.

1. 51  1/4.

2. 11/2 = 66/12.....so 66/12 - 29/12= 37/12. Make it mixed fraction: 3 1/12.

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#LearnWithBrainly, get Verified Answers

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2 years ago
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Step-by-step explanation:

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3 years ago
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Calculate the length b to two decimal places.
Andrej [43]

Answer:

B. 21.64

Step-by-step explanation:        

We have been given a triangle and we are asked to find the length of AC (b).

We will use law of cosines to find the length of side AC.

c^{2}=a^{2}+b^{2}-2ab \text{ cos }\theta

Upon substituting our given values in the formula we will get,

(AC)^{2}=15^{2}+12^{2}-2\times 15\times 12 \text{ cos}(106)  

(AC)^{2}=225+144-360\text{ cos}(106)      

(AC)^{2}=369-360(-0.275637355817)      

(AC)^{2}=369+99.22944809412    

(AC)^{2}=468.22944809412

Upon taking square root of both sides of our equation we will be get,

AC=\sqrt{468.22944809412}

AC=21.6386101238993629\approx 21.64  

Therefore, the length of b is 21.64 and option B is the correct choice.

6 0
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