Answer:
One leg - 15 inches
Second leg - 36 inches.
Step-by-step explanation:
One leg - x inches.
Second leg - (x + 21) inches.
Hypotenuse - 39 inches.
Using Pythagorean theorem
x² + (x + 21)² = 39²
x² + x² + 2*21x + 21² = 39²
2x² + 42x - 39² + 21² = 0
2x² + 42x - 1080 = 0
x² + 21x - 540 = 0
(x - 15)(x + 36) = 0
x = 15, x = - 36
We can use only positive value.
One leg - x inches = 15 inches
Second leg - (x + 21) inches = 15+21=36 inches.
Add 9 to both sides and you get 6x=24 then you divide 6 from both sides to get x by its self and the final answer will be 4
Answer:
D. plane
Step-by-step explanation:
A. is incorrect because three points don't make a point.
B. is incorrect because all points in a ray are colinear.
C. is incorrect because the three points are not colinear.
D. is correct because, for a given three different points, there is a plane that contains them.
The answer is 10.5 pounds. No there is no other solutions.
24 divided by 1/4 = 6 lbs
24 divided by 1/8 = 3 lbs
24 divided by 1/16 = 1.5 lbs
6+3+1.5= 10.5 lbs of food
Answer: 2.815 kilograms
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Work Shown:
1 layer = 0.5 kg
5 layers = 5*(0.5 kg) = 2.5 kg
icing = 15 g = 15/1000 = 0.015 kg
1 candle = 100 g = 100/1000 = 0.1 kg
3 candles = 3*(0.1 kg) = 0.3 kg
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The five layers combine to 2.5 kg. On top of that we have 0.015 kg of icing, and then finally the three candles add 0.3 kg more weight.
The total weight is therefore: 2.5+0.015+0.3 = 2.815 kilograms
