Answer:
400 units³
Step-by-step explanation:
The volume (V) of the square pyramid is
V = 
area of base × height (h)
where h is the perpendicular height.
Consider the right triangle formed by a segment from the vertex to the midpoint of the base and the slant height ( the hypotenuse )
Using Pythagoras' identity on the right triangle
h² + 5² = 13²
h² + 25 = 169 ( subtract 25 from both sides )
h² = 144 ( take the square root of both sides )
h = 
= 12
Area of square base = 10² = 100, hence
V = × 100 × 12 = 4 × 100 = 400
Answer:
f(t) = 5×0.87^t
Step-by-step explanation:
The general form for an exponential function described in this fashion is ...
... f(t) = (starting value) × (1 + (percent change))^t
Here, the "percent change" is -13%, or -0.13.
Then the value (1 + percent change) is (1 + (-0.13)) = 0.87. Putting this and the starting value into the form above, we have ...
... f(t) = 5 × 0.87^t
42 + 28 + 12 + 18 = 100 total beads
probability of not drawing a yellow or a green : (12 + 18) / 100 = 30/100 reduces to 3/10 or 30%
probability of drawing a red or green : (18 + 28) / 100 = 46/100 reduces to
23/50 or 46%
200-144=56
56/2=28
Neil is 28
