Answer: 80 cubic centimeters
Step-by-step explanation:
Use the formula: V=
Bh
(B is the area of the pyramid's base)
V=(16)(15)
Multiply: 16 x 15 =240
x 240 = 80
V= 80cubic centimeters
Answer: Choice C
The probability of getting all heads is the same as the probability of getting all tails
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Explanation:
H = heads
T = tails
In the first row, we have HHH to signify three heads. This shows up 1 time out of 8 outcomes total (each row is a different outcome). The probability of getting HHH is 1/8.
In the last row, TTT means we got three tails. Like with HHH, it only shows up once out of eight times, so the probability of getting TTT is 1/8 as well.
Therefore, both HHH and TTT have the same probability. This is because both sides of the coin have equal chances to land on. If the coin was more biased toward heads for example, then HHH and TTT would have different probabilities.
Answer:
The lengths of all three sides (in feet) are = 15, 14, and 18 feet
Step-by-step explanation:
Perimeter of Triangle = 47ft
Let the one side be 'x'
<em>Side 1 = x</em>
One side of the triangle is one foot longer than the second side
<em>Side 2 = x - 1</em>
<em>The third side is four feet longer than the second side</em>
<em>Side 3 = (x - 1) + 4</em>
<em />
<em>Perimeter = sum of all sides</em>
<em>47 = x + (x - 1) + (x - 1) + 4</em>
<em>47 = x + x - 1 + x - 1 + 4</em>
<em>47 = 3x + 2</em>
<em>47 - 2 = 3x</em>
45 = 3x
<u>x = 15</u>
substitute for x in each of the sides
<em>Side 1 = x => </em><em>15 feet</em>
<em>Side 2 = x - 1 => 15 - 1 = </em><em>14 feet</em>
<em>Side 3 = (x - 1) + 4 => 14 + 4 = </em><em>18 feet</em>
Answer:
60
Step-by-step explanation:
0.25
2×5
10
0.25×10
=2.5
;4×6
=24
:2.5×24
=60
Answer:
v = -8i - 6j
Step-by-step explanation:
The starting point is (9, 9)
The direction of the vector is the direction of the arrowhead.
The i is the horizontal component.
The j is the vertical component.
Therefore, to go from the start to the end of the line, we need to travel negative 8 units (horizontally) and negative 6 units (vertically).
Therefore, v = -8i - 6j
