Answer:
According to the passage, we have the next equation:
where "K" is a proportional constant
Leaving at the end with the next equation:
Integrating the equation, we have:
where "C" is a constant
Then, we have the 2 conditions for the problem:
1) t=0 → r=10
Replacing in the equation, we have C = 10
2) t=5 → r=8
Replacing in the equation, we have K = -0.4
Finally, the time which the snowball will be completely melted will be when r = 0. So replacing in the equation
t = 25 minutes
Answer:
AB=AC, BD is shared side, angle 1 and angle 2 are equal as BD bisects angle ABC
So we have two sides and included angle equal.
- <em>If two sides and the included angle of one triangle are equal to the corresponding sides and angle of another triangle, the triangles are congruent.</em>
According to the rule above we can say triangles ΔABD ≅ ΔCBD
Answer:
Step-by-step explanation:
300.364 us liquid gallonsgallons
Answer:
width = 15 ft
length = 26 ft
Step-by-step explanation:
(19 - 2x)(30 - 2x) = 390
570 - 38x - 60x + 4x² = 390
combine like terms:
4x² - 98x + 570 = 390
subtract 390 from each side of the equation:
4x² - 98x + 180 = 0
divide by 4:
x² - 24.5 + 45 = 0
(x - 22.5)(x - 2) = 0
x = 22.5 and x = 2
since x = 22.5 is out of the usable range, x = 2 ft is the solution
width = 19 ft - 4 ft = 15 ft (remember that there will be a 2 ft gap at each wall, thus subtract 4 ft)
length = 30 ft - 4 ft = 26 ft
<u>Answer:</u>
- 1. x = 180 - (90 + 57) = 180 - 147 = 33°
side = equilateral (all sides are equal)
measure = acute (3 acute angles) 180/3 = 60°
- 3. x = 180 - (29 + 15) = 180 - 44 = 136°
- 4. no it's not unique because we don't have any side length.
∠D = 76°
