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2 years ago

Which of the following are one-dimensional and have infinite length?

2 answers:

4 0

Out of the choices, the entities with only one dimension and have infinite length are the line and ray. The line extends to both sides while the ray is restricted by an endpoint on one side but can extend infinitely to the other side. The answers are therefore letter D and F.

deff fn [24]2 years ago

3 0

Answer:

The correct answers are : D. Ray and F. Line

Step-by-step explanation:

First we check the definition of all the given terms :

Angle : An angle is the figure formed by two rays, called the sides of the angle, sharing a common endpoint called vertex of the angle. The maximum value of an angle formed at any point can be 360°. So, cannot be infinite.

Segment : It is part of a line whose starting and end points are fixed and cannot be further extended. So, a line segment cannot be infinite.

Plane : A plane is a two-dimensional surface that can be extended as much as infinity. So, length of plane is infinite but it is not one-dimensional.

Ray : It is part of a line whose only one point is fixed and can be extended from the other point to an infinite length. Hence, Ray has infinite length.

Point : It can be defined as a location which does not has length, width and height. So. a point cannot have an infinite length.

Line : A line is a simply a one-dimensional figure that has no bends and can be extended inn both the directions up to infinity.Hence, the line ha s an infinite length.

Therefore, the correct answers are : D. Ray and F. Line

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Answer: independent variable: time (t). Dependent variable: distance (d).

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2 years ago

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Consider the set of differences, denoted with d, between two dependent sets: 84, 85, 83, 63, 61, 100, 98. Find the sample standa

sveta [45]

Answer:

The sample standard deviation is 15.3.

Step-by-step explanation:

Given data items,

84, 85, 83, 63, 61, 100, 98,

Number of data items, N = 7,

Let x represents the data item,

Mean of the data points,

$\bar{x}=\frac{84+85+83+63+61+100+98}{7}$

$=82$

Hence, sample standard deviation would be,

$\sigma= \sqrt{\frac{1}{N-1}\sum_{i=1}^{N} (x_i-\bar{x})^2}$

$=\sqrt{\frac{1}{6}\sum_{i=1}^{7} (x_i-82)^2}$

$=\sqrt{\frac{1}{6}\times 1396}$

$=\sqrt{232.666666667}$

$=15.2534149182$

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2 years ago

Vinny is serving punch to guests at a party. He has 2/3 of a gallon of punch, and he pours 3/64 of a gallon into each guest's cu

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2 years ago

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When 1,250 Superscript three-fourths is written in simplest radical form, which value remains under the radical?

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The value remains under the radical is 8 ⇒ last answer

Step-by-step explanation:

Let us revise how to write the exponent as a radical

$a^{\frac{m}{n}}$ can be written as $\sqrt[n]{a^{m}}$
To simplify the radical factorize the base "a" to its prime factors

Example:

$(54)^{\frac{2}{3}}=\sqrt[3]{(54)^{2}}$ ,
Factorize 54 into prime factors ⇒ 54 = 2 × 3 × 3 × 3 = $2(3)^{3}$
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