If 3 inch....................................20 ft
?inc...........................................57 feet
(57*3)/20=171/20=8.55 inch
Answer:
12 years and 16 years
Step-by-step explanation:
their ages are in the ratio 3 : 4
let Anjali = 3x and Aditya = 4x ← present ages
In 8 years then
Anjali = 3x + 8 and Aditya = 4x + 8, hence
3x + 8 + 4x + 8 = 44 ← sum of their ages in 8 years
7x + 16 = 44 ( subtract 16 from both sides )
7x = 28 ( divide both sides by 7 )
x = 4
Anjali is 3x = 3 × 4 = 12 years old and Aditya = 4x = 4 × 4 = 16 years old
The rectangular prism has a volume of, 1/4 cubic meter.
Find the volume of the parallelepiped with adjacent edges PQ, PR, and PS. P(1, 0, −1), Q(3, 3, 0), R(3, −3, 0), S(1, −2, 2)
topjm [15]
Answer:
the volume of the parallelepiped is = 36
Step-by-step explanation:
given,
P(1, 0, −1), Q(3, 3, 0), R(3, −3, 0), S(1, −2, 2)
PQ = Q - P = (2, 3, 1)
PR = R - P = (2, -3 , 1)
PS = S - P = (0, -2 , 3)
now volume of parallelopiped
[PQ PR PS] = 
now calculating determinant of the matrix
= 2 (-9+2) - 3 (6-0) + 1 (-4-0)
= -14 - 18 - 4
= -36
hence , the volume of the parallelepiped is = 36
Answer:
The range of the function 
is
B. is all real numbers except 
Step-by-step explanation:
Given functions:
To find the range of .
Solution:
In order to find , we will plugin 
in function 
.
The graph of the function shows that
1) As 
approaches -3 (but never touches the line 
), 
tends to positive or negative infinity.
2) As approaches 0 (but never touches the line ) , tends to positive or negative infinity.
Thus, the range of the function is all real numbers except
