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3 years ago

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

Mathematics

1 answer:

e-lub [12.9K]3 years ago

5 0

Answer:

Answer is line and ray.

Step-by-step explanation:

Ray - A ray starts from a point and ends to the infinity.

Therefore, ray is one dimensional and has infinite length.

Point - It is one dimensional but has no length.

Plane - It may be three/two dimensional.

Segment - It is one dimensional but has a limited length.

Line - It's one dimensional with infinite length.

Angle - It's two dimensional structure.

Answer is line and ray.

You might be interested in

11. One card is drawn from an ordinary deck of 52 cards. Find the probabilities of drawing the following.

Scilla [17]

Answer:

3/4
4/13
7/26
2/13
5.52

Step-by-step explanation:

(a)

Probability (A heart or a black card) = 13 + 26 / 52
Probability (A heart or a black card) = 39/52
Probability (A heart or a black card) = 3/4

(b)

Probability (A heart or a jack) = 13 + 3 / 52
Probability (A heart or a jack) = 16/52
Probability (A heart or a jack) = 4/13

(c)

Probability (A heart and the ace of clubs) = 13 + 1 / 52
Probability (A heart and the ace of clubs) = 14/52
Probability (A heart and the ace of clubs) = 7/26

(d)

Probability (A 9 or a jack) = 4 + 4 / 52
Probability (A 9 or a jack) = 8/52
Probability (A 9 or a jack) = 2/13

(e)

Probability (The 9 of hearts or a jack) = 1 + 4 / 52
Probability (The 9 of hearts or a jack) = 5/52

5 0

2 years ago

Two agent angles of a parallelogram are in the ratio 1 by 3 find the measures of all the angles

zalisa [80]

Answer:

The measure of all the angles are;

45°, 135°, 45°, and 135°

Step-by-step explanation:

The given parameters are;

The ratio of two adjacent angles of the parallelogram = 1:3

Let x represent one of the adjacent angles, and let y represent the other adjacent angle

Given that two adjacent angles of a parallelogram are supplementary, we have;

x + y = 180°

x:y = 1:3

Therefore, y = 3 × x = 3·x, which gives;

x + 3·x = 180°

4·x = 180°

x = 180°/4 = 45°

y = 3 × x = 3 × 45° = 135°

Given that opposite interior angles of a parallelogram are equal, we have, the measure of all the angles are;

45°, 135°, 45°, and 135°.

8 0

3 years ago

If n is a positive integer, how many 5-tuples of integers from 1 through n can be formed in which the elements of the 5-tuple ar

erma4kov [3.2K]

Answer:

$\frac{(n+4)*(n+3)*(n+2)*(n+1)*n}{120}$

Step-by-step explanation:

Given

5 tuples implies that:

$n = 5$

$(h,i,j,k,m)$ implies that:

$r = 5$

Required

How many 5-tuples of integers $(h, i, j, k,m)$ are there such that $n\ge h\ge i\ge j\ge k\ge m\ge 1$

From the question, the order of the integers h, i, j, k and m does not matter. This implies that, we make use of combination to solve this problem.

Also considering that repetition is allowed: This implies that, a number can be repeated in more than 1 location

So, there are n + 4 items to make selection from

The selection becomes:

$^{n}C_r => ^{n + 4}C_5$

$^{n + 4}C_5 = \frac{(n+4)!}{(n+4-5)!5!}$

$^{n + 4}C_5 = \frac{(n+4)!}{(n-1)!5!}$

Expand the numerator

$^{n + 4}C_5 = \frac{(n+4)!(n+3)*(n+2)*(n+1)*n*(n-1)!}{(n-1)!5!}$

$^{n + 4}C_5 = \frac{(n+4)*(n+3)*(n+2)*(n+1)*n}{5!}$

$^{n + 4}C_5 = \frac{(n+4)*(n+3)*(n+2)*(n+1)*n}{5*4*3*2*1}$

$^{n + 4}C_5 = \frac{(n+4)*(n+3)*(n+2)*(n+1)*n}{120}$

Solved

6 0

3 years ago

Karen has $600. She spent $240 on clothes. What percentage of money did she have left?

Rudiy27

Answer: She had 60% of the money left

Step-by-step explanation:

240/600=0.4

0.4 = 40%

100%-40%=60%

7 0

3 years ago

Read 2 more answers

In science class, the students observed 24 of the 300 frogs from the local aquarium. If 6 of the frogs observed had spots, how m

Alona [7]

Answer:

225 frogs

Step-by-step explanation:

Total population of frogs = 300 frogs.

Observed population of frogs = 24

6 of the 24 observed frogs had spots

Which means , the number of frogs that did not have spots = 24 - 6 = 18 frogs.

We were told to find how many of the total population can be predicted to NOT have spots. We would form a proportion.

If 24 frogs = 18 frogs with no spots

300 frogs = Y

Cross multiply

24Y = 300 × 18

Y = (300 × 18) ÷ 24

Y = 5400 ÷ 24

Y = 225 frogs.

This means out of 300 frogs, 225 frogs do not have spots.

Therefore, the total population that can be predicted to NOT have spots is 225 frogs.

the total population can be predicted to NOT have spots

3 0

3 years ago