-25 is an integer and a rational number.
<h3>What is number system?</h3>
- A system of writing numbers is known as a number system.
- It is the mathematical notation for consistently employing digits or other symbols to represent the numbers in a particular set.
- It represents the arithmetic and algebraic structure of the numbers and gives each number a distinct representation.
Now,
- Natural numbers are positive integers with a range of 1 to infinity; nevertheless, they do not include zero. -25 wouldn't be a natural number because it is a negative number.
- A group of numbers known as a whole number consists of all positive integers and 0. This wouldn't be a whole number because -25 isn't a positive number.
- Any real number that cannot be represented as the quotient of two integers is said to be irrational. Square roots of irrational numbers are also frequently seen. -25, however, is not a square root.
- Any number that can be expressed as a ratio, or a fraction, of two integers, is referred to be a rational number. Fractions, decimals, negative decimals, and other rational numbers are very prevalent. Since -25 can be represented as a ratio of two numbers. it is a rational number.
- A whole number that can be either positive, negative, or zero is known as an integer. As -25 is negative and a whole number( when positive), it is an integer.
Hence, -25 is an integer and a rational number.
To learn more about number system, refer to the link: brainly.com/question/13162939
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The volume of a cone is 1/3 times the area of the base times the height.
So the area of the base would be pi times the radius squared, or 3.14 * 3.2^2, which is 32.1536.
Next you multiply 32.1536 by the height(5.8) to get 186.49088.
Then you divide that by 3 to get 62.1636267, rounded to the nearest tenth of an inch is 62.2 inches cubed.
Answer:
Step-by-step explanation:
a) The work done is equivalent to the change in potential energy of the block. The force due to gravity in the direction down the ramp does the work.
ΔPE = mg(Δh) = (1.25 kg)(9.8 m/s²)(1.81 m·sin(55.3°) ≈ 18.23 J
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b) The kinetic energy of the block can be used to estimate the speed:
KE = ΔPE = 1/2mv²
v = √(2KE/m) = √(2(18.23 J)/(1.25 kg)) ≈ 5.4 m/s
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c) Steven has added kinetic energy to the block. So, the final kinetic energy it has will be ...
initial KE + ΔPE = final KE
final KE = (1/2)mv² + 18.23 J = (1/2)(1.25 kg)(2.0 m/s)² + 18.23 J
= 2.5 J + 18.23 J = 20.73 J
So, the final velocity will be ...
v = √(2(20.73)/1.25) ≈ 5.76 m/s
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<em>Comment on the question</em>
For those of you seeking to copy the answer to "which forces do non-zero work?" we observe that there is no list of forces in this question to choose from. The best we can say is that the operative force is the component of gravity that is parallel to the ramp surface.
(H)ypotenuse (L)eg, right-triangle theorem.
based on the provided graph, we know the hypotenuses are equal, thus the tickmarks, so H is true, now the L part, we only need either of the pair of legs to be equal DM = NB or AM = CN, if either one is true, we're golden.