Answer:
Step-by-step explanation:
Given
Quadrilateral QRST
Q (1, 2), R (3, 4), S (5, 6), and T (2, 7)
Dlated Factor = 2
Required
Coordinates of quadrilateral Q′R′S′T′
<em>Provided that a quadrilateral is dilated with the center of dilation at the origin; the new dilated shape is simply the multiplication of the dilation factor by the coordinates of the original shape;</em>
<em />
In other words,
Q'R'S'T' = Dilation factor * QRST
When Q = (1,2)
Q' = 2 * (1,2)
Q' = (2,4)
When R = (3,4)
R' = 2 * (3,4)
R' = (6,8)
When S = (5,6)
S' = 2* (5,6)
S' = (10,12)
When T= (2,7)
T' = 2 * (2,7)
T' = (4,14)
Hence, the coordinates of Q'R'S'T' is
Q' = (2,4); R' = (6,8); S' = (10,12); T' = (4,14)
Answer:
The new pressure of the gas is 42 pounds per square inches.
Step-by-step explanation:
When the temperature remains constant, the volume of a gas is inversely proportional to the pressure of the gas.
We can rewrite the above equation is
[at constant temperature]
At a pressure of 14 pounds per square inches, a balloon is filled with 93 cubic inches of gas.
The volume of the gas is decreased to 31 cubic inches.
Here,
= 93 cubic inches, 
= 14 pounds per square inches,
=31 cubic inches, 
= ?
pounds per square inches
The new pressure of the gas is 42 pounds per square inches.
Answer:
14
Step-by-step explanation:
2(5)+4
10+4
14
Answer:
The volume of a rectangular pyramid is 12 the volume of a rectangular prism. The volume of the rectangular pyramid is 85.5 m3.
Step-by-step explanation:
