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
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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
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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:
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
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
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
Conclusion: ?...
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.
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.