Answer:
12<x<16
Step-by-step explanation:
if c^2 > a^2 + b^2
then the triangle is obtuse
since 20 is the longest side
20^2 > x^2 + (x+4)^2
simplify
400 > x^2 + (x+4)(x+4)
FOIL
400 > (x^2 ) + (x^2 + 4x+4x+16)
combine like terms
400 > (2x^2 + 8x+16)
divide by 2
400/2 > 2x^2 /2 + 8x/2 + 16/2
200 > x^2 + 4x +8
subtract 200 from each side
0> x^2 + 4x +8-200
0> x^2 +4x-192
Factor
0 > (x-12) ( x+16)
using the zero product property
0> x-12 0 > x+16
12>x -16>x
x must be greater than 12
we know the longest side is 20
x+4 < 20
subtract 4
x< 16
x>12 and x < 16
12<x<16
Answer:
2701.125
Step-by-step explanation:
fifth term = 18(3.5)^4
Answer:
5/222
Step-by-step explanation:
you need to add all the cards together first
13 + 10 + 8 + 6 = 37
then you take out 1 card to find the first probability of the blue card (there are 6 blue cards out of 37)
so 6/37
that will be your first probability
then for the 2nd probability, you will have 1 less card grom the deck making it only 36 cards (after taking out the first one, there will be only 5 blue cards left)
making it 5/36
that will be the 2nd probability
then you multiply both these probabilities to find the answer
6/37 × 5/36 = 5/222
Answer:
From the top of the list down, the answers are
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