I got you :-) I love proofs, This one looked hard at first but ended up being a lot easier then I thought. It is easy to overthink these. Ok, so first, set up your proof statements to reasons etc. Write down the given information and there are only 2 additional steps. You must say that DA congruent to DA because they are the same side. Now, if you notice, your two triangles DAE and ABD have 2 sides that are congruent because they are given and the third side is the same. You now have SSS in which allows you to say that DAE is congruent to ABD.
Answer:
24s^2, 54s^2, 96s^2
Step-by-step explanation:
Let s represent the initial side length of the cube. Then the area of each face of the cube is A = 6s^2 (recalling that the area of a square of side length s is s^2).
a) Now suppose we double the side length. The total area of the 6 faces of the cube will now be A = 6(2s)^2, or 24s^2 (a 24 times larger surface area),
b) tripled: A = 6(3s)^2 = 54x^2
c) quadrupled? A = 6(4s)^2 = 96s^2
Step-by-step explanation:
Answer:
4,7025 (kJ).
Step-by-step explanation:
1) according to the condition: m=25 gr.; t₂=90; t₁=45; c=4.18 J/(g°C);
2) the formula of required heat is
Q=c*m*(t₂- t₁);
3) according to the formula of heat:
Q=4.18*25*45=4702.5 (J).
Answer:
4
Step-by-step explanation:The factors of 212 are: 1, 2, 4, 53, 106, 212
The factors of 312 are: 1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312
