Let's start b writing down coordinates of all points:
A(0,0,0)
B(0,5,0)
C(3,5,0)
D(3,0,0)
E(3,0,4)
F(0,0,4)
G(0,5,4)
H(3,5,4)
a.) When we reflect over xz plane x and z coordinates stay same, y coordinate changes to same numerical value but opposite sign. Moving front-back is moving over x-axis, moving left-right is moving over y-axis, moving up-down is moving over z-axis.
A(0,0,0)
Reflecting
A(0,0,0)
B(0,5,0)
Reflecting
B(0,-5,0)
C(3,5,0)
Reflecting
C(3,-5,0)
D(3,0,0)
Reflecting
D(3,0,0)
b.)
A(0,0,0)
Moving
A(-2,-3,1)
B(0,-5,0)
Moving
B(-2,-8,1)
C(3,-5,0)
Moving
C(1,-8,1)
D(3,0,0)
Moving
D(1,-3,1)
1. The probability that your mail is delivered before 2 pm is 0.9, so the probability that the mail is delivered at 2 pm or after 2 pm (so not before 2 pm) is 1-0.9=0.1.
Remark: 0.9=9/10=90/100=90%, and 0.1 is 10%
2. Probability of the mail being delivered before 2 pm for 2 consecutive days is
3. take a look at the picture attached, the tree diagram is another method we could use.
Answer:
Volume of square-based pyramid = 96 in³
Step-by-step explanation:
Given:
Base side of square = 6 inch
Height of pyramid = 8 inch
Find:
Volume of square-based pyramid
Computation:
Area of square base = Side x Side
Area of square base = 6 x 6
Area of square base = 36 in²
Volume of square-based pyramid = (1/3)(A)(h)
Volume of square-based pyramid = (1/3)(36)(8)
Volume of square-based pyramid = (1/3)(36)(8)
Volume of square-based pyramid = (12)(8)
Volume of square-based pyramid = 96 in³
Answer:
y = -6
Step-by-step explanation:
y=acos(bx+c)+d
d = -6 .. vertical shift
midline: y = -6
