Answer:
Step-by-step explanation:
Angles 153 and QRP are straight angles, and thus Angle QRP is
180 - 153, or 27 degrees.
The interior angles of the triangle must sum up to 180 degrees:
27 + (3y + 5) + (2y - 7) = 180.
combining like terms, we get:
5y - 25 = 180, or 5y = 155, or y = 31
Then Angle Q is 3(31) + 5, or 93
Angle P is 2(31) - 7, or 55, and
Angle QRP is 27 degrees (found earlier).
$17 (it's just the market price - the marginal cost)
Answer:
y = -4x - 6
Step-by-step explanation:
12x + 3y = -18
Solve for y.
3y = -12x - 18
y = -12/3 x - 18/3
y = -4x - 6
Answer:x=(y-6)/3
Step-by-step explanation:
Answer:
216 m³
Step-by-step explanation:
The ratio of linear dimensions is the square root of the ratio of area dimensions.
s = √(216/1014) = √(36/169) = 6/13
Then the ratio of volume dimensions is the cube of that. The smaller volume is ...
v = (6/13)³·2197 m³ = 216/2197·2197 m³ = 216 m³
The volume of the smaller solid is 216 m³.