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Butoxors [25]
3 years ago
7

Subject : Math

Mathematics
1 answer:
Free_Kalibri [48]3 years ago
7 0

Answer:

See Explanation

Step-by-step explanation:

Given

T_1 = 2\ hours ---------- A to B

T_2 = 4\ hours ---------- B to C

Required

Determine the average speed of Mr. Ali's journey

To do this, we have to calculate the total distance covered.

i.e.

Distance = Town A to B + Town B to C

Total\ Time = T_1 + T_2

Total\ Time = 2 + 4

Total\ Time =6

The distance between the towns are not given. So, I'll make an assumption.

<em>-------------------------------------------------------------------------------------------------------------</em>

<em>Assume:</em>

<em>Town A to B = 5km</em>

<em>Town B to C = 10km</em>

<em></em>

<em></em>Total\ Distance = 5km + 10km<em></em>

<em></em>Total\ Distance = 15km<em></em>

<em>-------------------------------------------------------------------------------------------------------------</em>

Average Speed is then calculated as:

Average\ Speed = \frac{Total\ Distance}{Total\ Time}

Average\ Speed = \frac{15}{6}

Average\ Speed = 2.5km/hr

<em></em>

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Answer and Step-by-step explanation:

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3 years ago
Divide 3x^2+6 by 3x-3​
lorasvet [3.4K]

Answer:

3x+3

Step-by-step explanation:

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4 0
3 years ago
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What is the equation of the line that passes through the point (-6, -8) and has a slope of 1/3
ivanzaharov [21]

Answer <u>(assuming it can be in point-slope form)</u>:

y + 8 = \frac{1}{3} (x+6)

Step-by-step explanation:

With the given information, we can use the point-slope formula, y-y_1 = m (x-x_1), to write the equation of the line. Substitute values for the m , x_1, and y_1 in the formula to do so.

The m represents the slope, so substitute \frac{1}{3} in its place. The x_1 and y_1 represent the x and y values of one point the line intersects, so substitute -6 for x_1 and -8 for y_1. This gives the following answer and equation (just make sure to convert the double negatives into positives:  

y-(-8) = \frac{1}{3} (x-(-6))\\y + 8 = \frac{1}{3} (x+6)

3 0
3 years ago
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In ΔNOP, the measure of ∠P=90°, NP = 12, PO = 35, and ON = 37. What ratio represents the cosine of ∠O?
Oxana [17]

Answer:

35/37

Step-by-step explanation:

In this question, we are to calculate the ratio that represents the cosine of angle O

Firstly, please check attachment for diagram of the triangle.

Mathematically, the trigonometric term Cos means the ratio of the length of the adjacent to that of the hypotenuse

The hypotenuse is the longest length which is 37 which represents the length ON

The side adjacent to angle O is the side OP which is 35

Thus, the ratio representing the cosine of angle O is 35/37

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Andru [333]

Yes because it goes up and back down

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