All categories

2 years ago

Amar cycles at a speed of 18km/h.

Mathematics

1 answer:

damaskus [11]2 years ago

7 0

Answer:

<em>The distance between the two villages is 16.5 Km</em>

Step-by-step explanation:

<u>Constant Speed Motion</u>

It's a type of motion in which the distance of an object changes by an equal amount in every equal period of time.

If v is the constant speed, the object travels a distance x in a time t, given by the equation:

x=vt

Amar cycles at v=18 Km/h for t=55 minutes. We need to calculate the distance traveled between the two villages.

Since the speed and the time are given in different units, we convert the time to hours, recalling that 1 hour=60 minute.

t=55 min = 55/60 hours

For the sake of precision, we won't operate the division so far. Compute the distance:

x=18 *55/60=16.5 Km

The distance between the two villages is 16.5 Km

You might be interested in

What happened to the owl who swallowed a watch

ELEN [110]

He "owled" from the pain xD

5 0

2 years ago

Read 2 more answers

Students voted on a school trip. 56 voted for the museum, 86 for the nature center, 172 for the state capital, and 116 for other

OLga [1]

Answer:

a = state capital

b = nature center

c = museum

d = other

Step-by-step explanation:

3 0

2 years ago

The vertices of ΔRST are R(–1,–1), S(–1,11) and T(4,11). Which could be the side lengths of a triangle that is similar but not c

Step2247 [10]

The side lengths could be 10, 24 and 26 units.

We must first find the side lengths. We use the distance formula to do this.

For RT:
$d=\sqrt{(11--1)^2+(-1--1)^2}
\\=\sqrt{(11+1)^2+(-1+1)^2}
\\=\sqrt{12^2+0^2}=\sqrt{144}=12$

For ST:
$d=\sqrt{(11-11)^2+(4--1)^2}
\\=\sqrt{0^2+(4+1)^2}=\sqrt{5^2}=\sqrt{25}=5$

For TR:
$d=\sqrt{(11--1)^2+(4--1)^2}
\\=\sqrt{(11+1)^2+(4+1)^2}=\sqrt{12^2+5^2}=\sqrt{144+25}=\sqrt{169}=13$

Our side lengths, from least to greatest, are 5, 12 and 13.

To be similar but not congruent, the side lengths must have the same ratio between corresponding sides but not be the same length. 10, 24 and 26 are all 2x the original side lengths, so this works.

5 0

2 years ago

Leilah has not yet

Ivenika [448]

Answer:

40 * x - 600 = 0

Step-by-step explanation:

The first thing is to identify the variable (x) of the equation and they will be the number of days that Leilah will take to read her flashcards. Now if you need to study 600 out of 2400, it is because you have read 1800. Therefore we have to:

2400 - 1800 = 40 * x

rearranging

40 * x - 600 = 0

The above would be the equation of the situation

6 0

2 years ago

Read 2 more answers

Prepare a prototype residual plot for each of the following cases: (1) error variance decreases with X; (2) true regression func

Nadya [2.5K]

Answer:

Please see attachment

Step-by-step explanation: