Answer:
64√2 or 64 StartRoot 2 EndRoot
Step-by-step explanation:
A 45-45-90 traingle is a special traingle. Let's say one of the leg of the triangle is x. The other one is also x because of the isosocles triangle theorem. Therefore, using the pytagorean theorem, you find that x^2+x^2=c^2. 2(x)^2=c^2. You then square root both sides and get c= x√2.
Therefore, the two legs are x and the hypotenuse is x√2. x√2=128 because the question says that the hypotenuse is 128. Solve for x by dividing both sides by √2. X=128/√2. You rationalize it by multiplying the numberator and denominator of the fraction by √2. √2*√2= 2.
X=(128√2)/2= 64√2 cm.
Since X is the leg, the answer would be 64√2
20096m.
Since the radius is 80, the formula is x²×3.14.
80²=6400
6400×3.14=20096
m is the unit
Answer: 20096 meters
treat the tree trunk as a cylinder
v= pi x r^2 x h
using 3.14 for pi
3.14 x 3^2 x 10 = 282.6 cubic feet
282.6 * 45 = 12, 717 pounds
Volume prism= ½•a•c•h
=½•7•11•5
=½•385
=192.5cm³
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Okay so the relationship between points K and K' is that you subtract 4 from the x values and you add 6 to the y values.
1 - 4 = - 3
L ( - 3 , 3 ) ==> L' ( - 3 - 4 , 3 + 6 ) ==> L' ( - 7 , 9 )
The only answer option with L' as such is answer choice B.
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I hope that helps you out!!
Any more questions, please feel free to ask me and I will gladly help you out!!
~Zoey
