Answer:
The volume is 908 feet³
after rounding it is 900 feet³
Step-by-step explanation:
Radius of cone from fig. A = 2feet
Radius of cylinder from fig. B = 2feet
Radius of Hemisphere from fig. C = 3feet
Height of cone from Fig. A = 6 feet
Height of cylinder from fig. B = 10 feet
Length of cuboid = 12 feet
height of cuboid = 4feet
width of cuboid = 7feet !!
[ Refer to the attached file ]
In order to solve by elimination, let's multiply the first equation by -2. This way, when we add the equations, the variable y will be canceled out:
Now, adding the equations, we have:
Now, calculating the value of y, we have:
Therefore the solution is (3, 0).
No solution means that the lines are paralell and have differnt y intercepts
paralell means has same slope
y=mx+b
m=slope
b=yint
given equation is
y=-3x+5
slope=-3
yint=5
paralell so
y=-3x+b
wher b is any number except 5
example
y=-3x+4
y=-3x+√3
y=-3x-π
basically
m=-3
b=any number except 5
Since there is no repetition allowed, there are 10 possibilities for the 1st digit, 9 for the 2nd, 8 for the 3rd, and 7 for the 4th. This gives a total of (10)(9)(8)(7) = 5040 four-digit codes.
For all odd digits to be used, there are 5 possibilities for the 1st digit (1,3,5,7,9), 4 for the 2nd, 3 for the 3rd, 2 for the 4th. This gives a total of (5)(4)(3)(2) = 120 codes that only use odd digits.
Therefore there are 5040 - 120 = 4920 codes that do not consist of all odd digits. The probability is 4920/5040 = 41/42.
Answer:
the y intercept is 2
Step-by-step explanation:
we can see this because the line crossed the 2 on the y axis line
