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fgiga [73]
3 years ago
12

Given that a triangle has two sides of lengths 5 inches and 7 inches, which is a possible length of the third side?

Mathematics
1 answer:
ArbitrLikvidat [17]3 years ago
6 0

Answer: it’s 13

because 13-7-5= 1

12-5-7=0 which is invalid

7-5-2=0 which is invalid

7-5-3=-1 which is invalid

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Let z be the product of any 5 consecutive three digit odd natural numbers. When you multiply
Charra [1.4K]

Answer:

  5

Step-by-step explanation:

If x is the middle number of the 5 consecutive odd numbers, their product is ...

  x(x -2)(x +2)(x -4)(x +4) = x(x² -4)(x² -16)  = x⁵ -20x³ +64x

The first 3-digit prime is 101, so the product of that with this is ...

  101(x⁵ -20x³ +64x) = 101x⁵ -2020x³ +6464x

Since we're only interested in the units digit, we can find the mod 10 value of this to be ...

  (x⁵ +4x) mod 10

Possible units digits of x are 1, 3, 5, 7, 9, so possible units digits of this product are ...

  x(x⁴ +4) = 1(1⁴ +4) = 5

  3(3⁴ +4) = 3(1 +4) = 5 . . . . mod 10

  5(5⁴ +4) = 5(5 +4) = 5 . . . . mod 10

  7(7⁴ +4) = 7(1 +4) = 5 . . . . mod 10

  9(9⁴ +4) = 9(1 +4) = 5 . . . . mod 10

In every case, the units digit of 101z will be 5.

4 0
2 years ago
Help me i need it
forsale [732]

Step-by-step explanation:

I just answered that. how often did you put that in ?

7 0
2 years ago
Identify the slope and y-intercept. y=−12x+7
Tatiana [17]

the slope is -12 because y=mx+b and m= slope

7 0
3 years ago
Read 2 more answers
Place Math Quiz
Aleksandr [31]

Answer:

c) $136,800

Step-by-step explanation:

Since the thing is 3 years and in 3 year there are 36 months. And since $3,800/mo so 36 x 3,800 = 136,800

So the answer is $136,800

6 0
3 years ago
1
ankoles [38]
We subtract the 17 from the 981 to make the two sides even so it’s easier to calculate, 981 - 17 = 964, then divide that by 2, 964/2 = 482. So your answer is 482.

Would appreciate brainliest!
6 0
3 years ago
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