What is the volume of the pyramid in the diagram?
1 answer:
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Answer:
Step-by-step explanation:
the Pythagorean theorem is
c is the hypotenuse which is the side opposite of the right angle
plug the numbers into the Pythagorean theorem
when squaring a square root, just take the number in the radical and get rid of the radical
subtract 26 from both sides
find the square root of 143
143 is prime so it can just be written as
Answer:
Step-by-step explanation:
4). This is an exponential function.
5). Let the equation of this function is,
f(x) = a(b)ˣ
Since, two points (-1, 4) and (0, 6) are lying on the graph of the function,
For (-1, 4),
4 = a(b)⁻¹
4 = --------(1)
For (0, 6),
6 = a(b)⁰
a = 6
From equation (1),
4 =
b = = 1.5
Therefore, equation of the function will be,
f(x) = 6(1.5)ˣ
6). Now the value of f(-4) will be,
f(-4) = 6(1.5)⁻⁴
= 1.185