This is the concept of proportionality, given that z is directly proportional to x and inversely proportional to y then:
zαx/y
z=(kx)/y
where;
k is the constant of proportionality given by:
k=zy/x
but when x=3 and =6 then z=9.5
therefore:
k=(9.5*6)/3
k=19
hence the formula for z will be:
z=(19x)/y
the value of z when x=8 and y=12 will be:
z=(19*8)/12
z=12 2/3
Answer:
Perimeter = 13.5 units
Step-by-step explanation:
Coordinates of A → (1, 2)
Coordinates of B → (2, 5)
Coordinates of C → (5, 7)
Coordinates of D → (4, 4)
Length of AB =
= units
Length of BC =
= units
Length of CD = units
Length of AC = units
Perimeter of the quadrilateral =
= 2(3.16 + 3.61)
= 13.54
≈ 13.5 units
Perimeter of the quadrilateral ABCD is 13.5 units
-5+-12 is -17
For lack of a better metaphor, it's like digging a pit deeper than it already is.
38.94 rounded to the nearest tenth. To know if we should round up or down, we look to the number in the hundredths place. If that number is 5 or greater, we round up. If the number is 4 or less, we round down
38.94
The number is 4, so we round down. 38.94 becomes 38.9
65.45 rounded to the nearest tenth. To know if we should round up or down, we look to the number in the hundredths place. If that number is 5 or greater, we round up. If the number is 4 or less, we round down.
65.43
The number is 3, so we round down. 65.43 becomes 65.4
38.9+65.4= 104.3
If you were to estimate 38.94+65.43, we round the number to numbers that we can easily calculate in our head. 38.94+65.43 becomes 40+65
40+65=105
606 divided by 2 equals 303. 303 minus 44 equals 259, but 303 plus 44 equals 347. So the cost of the bench is $347