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Serhud [2]
3 years ago
5

A bus completed a journey of 98 km in 140 minutes. Calculate the average speed, in kilometres per hour, for this journey.​

Mathematics
2 answers:
inessss [21]3 years ago
8 0

Answer:

hope you like it

Step-by-step explanation:

at first change minutes to hour and calculate by dividing 98 to specific hour

zhenek [66]3 years ago
6 0
Speed=distance/time

-change time from minutes to hours:
140= 2hours 20= 2.333

Speed=98/2.333
= 42 km/h

I think?
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Angle T had a measure between 0 and 360 and is coterminal with -170 angle. What is the measure of angle T?
Alika [10]

Answer: The answer is 190°.


Step-by-step explanation: We are to find the measure of ∠T which lies between 0° and 360° and is co-terminal with an angle of measure -170°.

We know that two angles are said to be co-terminal if one is obtained from the other by either adding or subtracting 360°.

So, angles which are co-terminal with -170° are

-170° + 360° = 190°,  -170° - 360° = 530°, etc.

Since 190° lies between 0° and 360°, so measure of ∠T is 190°.

Thus, the answer is 190°.


5 0
3 years ago
riangle A″B″C″ is formed using the translation (x + 0, y + 2) and the dilation by a scale factor of 2 from the origin. Which equ
Shtirlitz [24]

The relationship between segment AC and segment A double prime C double prime is AC = A''C'' /2.

<h3>What is a Scale Factor ?</h3>

The ratio by which the new image is bigger or smaller than the original image is the scale factor.

It is given that

Triangle A″B″C″ is formed using the translation (x + 0, y + 2)

and the dilation by a scale factor of 2 from the origin.

coordinate plane with triangle ABC at A (- 3,  3), B (1, - 3), and C (- 3, -3).

segment AC is equal to A''C'' over 2

Scale factor = 2

The coordinates are

A (- 3,  3), B (1, - 3), and c (- 3, -3) is translated using  (x + 2, y + 0),

new coordinates

A'(- 1,  3), B'(3, - 3), and C'(- 1, -3).

The dilation by a scale factor of from the origin

A″ (-2, 6), B″ (6, -6) and C″(-2, -6)

By the distance formula

AB = \rm \sqrt {52}

A''B'' = \rm \sqrt{ 8^2 + 12^2}\\ = 2 \rm \sqrt {52}

Therefore

AB = A''B'' /2

Similarly AC = A''C'' /2

The relationship between segment AC and segment A double prime C double prime is AC = A''C'' /2.

To know more about Scale Factor

brainly.com/question/22312172

#SPJ1

6 0
2 years ago
2^2 times 2^3<br> a.2^4<br> b.2^5<br> c.2^6<br> d.4^6
maxonik [38]

Answer:

The quadratic equations and their solutions are;

9 ± √33 /4 = 2x² - 9x + 6.

4 ± √6 /2 = 2x² - 8x + 5.

9 ± √89 /4 = 2x² - 9x - 1.

4 ± √22 /2 = 2x² - 8x - 3.

Explanation:

Any quadratic equation of the form, ax² + bx + c = 0 can be solved using the formula x = -b ± √b² - 4ac / 2a. Here a, b, and c are the coefficients of the x², x, and the numeric term respectively.

We have to solve all of the five equations to be able to match the equations with their solutions.

2x² - 8x + 5, here a = 2, b = -8, c = 5.                                                  x = -b ± √b² - 4ac / 2a = -(-8) ± √(-8)² - 4(2)(5) / 2(2) = 8 ± √64 - 40/4.     24 can also be written as 4 × 6 and √4 = 2. So                                                                                     x = 8 ± 2√6 / 2×2= 4±√6/2.

2x² - 10x + 3, here a = 2, b = -10, c = 3.                                                   x =-b ± √b² - 4ac / 2a =-(-10) ± √(-10)² - 4(2)(3) / 2(4) = 10 ± √100 + 24/4. 124 can also be written as 4 × 31 and √4 = 2. So                                                                              x = 10 ± 2√31 / 2×2 = 5 ± √31 /2.

2x² - 8x - 3, here a = 2, b = -8, c = -3.                                                    x = -b ± √b² - 4ac / 2a = -(-8) ± √(-8)² - 4(2)(-3) / 2(2) = 8 ± √64 + 24/4.     88 can also be written as 4 × 22 and √4 = 2. So                                                                             x = 8 ± 2√22 / 2×2 = 4± √22/2.

2x² - 9x - 1, here a = 2, b = -9, c = -1.                                                     x = -b ± √b² - 4ac / 2a = -(-9) ± √(-9)² - 4(2)(-1) / 2(2) = 9 ± √81 + 8/4.                                          x = 9 ± √89 / 4.

2x² - 9x + 6, here a = 2, b = -9, c = 6.                                                    x = -b ± √b² - 4ac / 2a = -(-9) ± √(-9)² - 4(2)(6) / 2(2) = 9 ± √81 - 48/4.                                                                             x = 9 ± √33 / 4 .

5 0
3 years ago
Read 2 more answers
Billy wanted to write a ratio of the number of apples to the number of peppers in his refrigerator. He wrote 1 : 3. Did Billy wr
Gennadij [26K]

Answer:

No.

Step-by-step explanation:

It should be 3:1 since the number of apples comes first in the ratio.

4 0
3 years ago
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Hey motorcycle shop maintains an inventory of four times as many new bikes as used bikes. If there are 16 new bikes how many use
nlexa [21]
Motorcycle shop maintains

U - used bikes
N - new bikes = 4N

1 U = 4N
? U = 16 new bikes

16/4 = 4. There are 4 used bikes that are in stock.
7 0
4 years ago
Read 2 more answers
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