Identify the value of p.

p = 11
p = 10
p = 12
p = 13
Identify the value of p. p = 11 p = - 1

Answers

Answer 1
Answer:

Answer:

  (c)  p = 12

Step-by-step explanation:

You may recall that (5, 12, 13) is a Pythagorean triple. That would tell you ...

  p = 12

__

If you have not memorized a few useful Pythagorean triples, you can use the Pythagorean theorem to solve for p. The sum of squares of the sides is the square of the hypotenuse:

  5² +p² = (p+1)²

  p² +25 = p² +2p +1

  24 = 2p . . . . . . . . subtract p²+1 from both sides

  p = 12 . . . . . . divide by 2

_____

Additional comment

Some of the Pythagorean triples commonly seen in algebra and geometry problems are ...

  (3, 4, 5), (5, 12, 13), (7, 24, 25), (8, 15, 17), (9, 40, 41)

Of course, multiples of these are used, too. For example, (6, 8. 10) is a multiple of the (3, 4, 5) triple.

Answer 2
Answer:

Answer:

12

Step-by-step explanation:

5^2 + p^2 = (p+1)^2

25 + p^2 = p^2 + 2p + 1

25 = 2p + 1

24 = 2p

12 = p


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Weather balloons are filled with hydrogen and released at various sites to measure and transmit data such as air pressure and temperature. A weather balloon is filled with hydrogen at the rate of 0.1 ft3/s. Initially, the balloon has 5 ft3 of hydrogen. Find a linear function that models the volume of hydrogen in the balloon after t seconds.

Answers

Answer:

Linear function that models the volume of hydrogen in the balloon after t seconds is V(t) = 5 + 0.1t

Step-by-step explanation:

Initial volume of hydrogen in the balloon = 5 ft³

Rate at which hydrogen is filling in the balloon = 0.1 ft³/s

Volume after 1 second = 5 + 0.1 x 1

Volume after 2 seconds = 5 + 0.1 x 2

Volume after 3 seconds = 5 + 0.1 x 3

Volume after 4 seconds = 5 + 0.1 x 4

Volume after 5 seconds = 5 + 0.1 x 5

Similarly

Volume after t seconds, V(t) = 5 + 0.1 x t = 5 + 0.1t

Linear function that models the volume of hydrogen in the balloon after t seconds is V(t)=5 + 0.1t

What is the length of the diagonal, d, of the rectangular prism shown below?

Answers

Answer:

d = 10√10 ≈ 31.62

Please give me brainly, somone in my family is a mathmatition...

Answer:

d = 10√10 ≈ 31.62

Step-by-step explanation:

d = √l²+w²+h²

d = √5²+8²+2²

d = √25+81+4

d = √110

d = 10*√10

State a conclusion that seems reasonable. You eat a new kind of fruit and suffer from hives for the first time in your life. A week later, you try the fruit and the hives recur. A month later, you have a similar experience.

Conclusion: ?...

Answers

In general, conclusion is defined as a decision where you reach based on reasoning.

So, when you eat a new kind of fruit again and again after few days interval, but you suffer from hives each time you eat that fruit. This repeated event states that you are allergic to that fruit that is why you suffer every time you eat it.

Hence, the best and reasonable conclusion is that you are allergic to that fruit and you should not consume it.

You are allergic to that fruit.

The dimensions of a rectangle box are consecutive integers. If the box has volume of 13,800 cubic centimeters, what are its dimensions?

Answers


If the dimensions were all the same number ... the box was a cube ...
then each dimension would be  (the cube root of 13,800) cm.

         ∛13,800 = 23.986... (rounded)

so the place to look is around 23 .

(22 x 23 x 24)  =  12,144     <==  too small; go up one integer

(23 x 24 x 25)  =  13,800     <==  Eureka !    

The consecutive integers are  23,  24,  and  25 .

20000=15000(1.072)^t

Answers


                                                 20,000 = 15,000 (1.072)^t

Divide each side by 15,000 :             4/3 = (1.072)^t

Take the log of each side:          log(4/3) = t log(1.072)

Divide each side by  log(1.072):     t = log(4/3) / log(1.072)

                                                      0.12494 / 0.03019 = 4.138  (rounded)


What should be included in a financial plan to protect assets?

Answers

Answer:

In a financial plan, one must include his insurance plan and how much insurance he wants.

Step-by-step explanation:

Protecting assets means protecting your valuable assets like home, car, jewelry etc from accidents, disasters or theft.

For protection, we need an insurance to cover all these assets.

Hence, in a financial plan, one must include his insurance plan and how much insurance he wants.

You might need to get insurance to protect your assets
:P