Number of cards in a deck = 52
Number of sevens in the deck = 4
P(seven) = 4/52 = 1/13
P(not seven) = 1 - 1/13 = 12/13
Answer: 12/13
Answer:
T.A. = 144 + 36√3 units²
Step-by-step explanation:
∵ The total surface area of the pyramid = the sum of the area of
the four faces (one base and 3 side faces)
∵ The 3 side faces have the same dimensions 12 , 10 , 10
∴ the area of the 3 faces = 3 × 1/2 × 12 × h
∵ The height of each triangle is ⊥ to its base
∵ The triangle are isosceles
∴ The height bisects the base
∴ h² = 10² - 6² = 64
∴ h = √64 = 8
∴ The area of the 3 triangles = 3 × 1/2 × 12 × 8 = 144 units²
∵ The base is equilateral Δ with side length 12
∵ Area equilateral triangle = 1/4 × s² × √3
∴ The area of the base = 1/4 × (12)² × √3 = 36√3 units²
∴ T.A. = 144 + 36√3 units²
Answer:
The first two pieces are 5' 5" long; the last piece is 5' 2" long.
Step-by-step explanation:
If x is the length of one of the longer pieces, then the shorter one (in inches) is x-3. The total length of the three pieces is ...
x + x + (x-3) = 192
3x = 195 . . . . . . . . . add 3
x = 65 . . . . . . . . . . inches
65 inches = 5 ft 5 inches
The first two pieces are each 5' 5" long; the remaining piece is 5' 2" long.
Answer:
4.5
Step-by-step explanation:
when the height is 0 the ball will hit the ground
so the equation is
-12t²+54t=0
12t²-54t=0
2t²-9t=0
t(2t-9)=0
t=0
t=4.5
so the answer is
4.5
The slope formula can be used to prove a triangle has a right angle
