A: 3.2/294=12/T
<span>T=1102.5 K </span>
<span>*** </span>
<span>*** </span>
<span>b: V/T => V/1088 = 4000/294 </span>
<span>V = 14802.7 L = 14.8 m^3 </span>
<span>*** </span>
<span>*** </span>
<span>c. </span>
<span>pV/T </span>
<span>1.1*V/294 = 12*15000/1088 </span>
<span>V= 48.64 m^3</span>
9514 1404 393
Answer:
a) ∆RLG ~ ∆NCP; SF: 3/2 (smaller to larger)
b) no; different angles
Step-by-step explanation:
a) The triangles will be similar if their angles are congruent. The scale factor will be the ratio of any side to its corresponding side.
The third angle in ∆RLG is 180° -79° -67° = 34°. So, the two angles 34° and 67° in ∆RLG match the corresponding angles in ∆NCP. The triangles are similar by the AA postulate.
Working clockwise around each figure, the sequence of angles from lower left is 34°, 79°, 67°. So, we can write the similarity statement by naming the vertices in the same order: ∆RLG ~ ∆NCP.
The scale factor relating the second triangle to the first is ...
NC/RL = 45/30 = 3/2
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b) In order for the angles of one triangle to be congruent to the angles of the other triangle, at least one member of a list of two of the angles must match for the two triangles. Neither of the numbers 57°, 85° match either of the numbers 38°, 54°, so we know the two triangles have different angle measures. They cannot be similar.
Three tenths is the same as 3/10
the sum of -2 and -28 is -30
3/10 of -30 is the same as the products of the two
3 x -30 / 10 = -90/10 = -9
Your answer is
3(-2 + -28)/10 = -9
