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GREYUIT [131]
3 years ago
15

What is radians in degrees?

Mathematics
1 answer:
max2010maxim [7]3 years ago
8 0

1 radian is 57.2958 degrees

pls mark as Brainliest

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the graph shows the speed of a vehicle during the final 50 seconds of a journey at the start of the 50 seconds the speed is k me
Simora [160]

Answer:

a) 27 m/s

b) 30 m/s

c)   i) 3

     ii) Deceleration

Step-by-step explanation:

The question is not complete, the correct question is given as:

The graph shows information about the speed of a vehicle during the final 50 seconds of a journey.  At the start of the 50 seconds the speed is k metres per second.  The distance travelled during the 50 seconds is 1.35 kilometres.

(a) Work out the average speed of the vehicle during the 50 seconds

(b) Work out the value of k.

(c) (i) Calculate the gradient of the graph in the final 10 seconds of the journey

    (ii) Describe what this gradient represents

Answer:

The graph is attached. The total time = 50 seconds, total distance = 1.35 km = 1350 m  

a) The average speed is the ratio of the total distance traveled to the total time taken to cover this distance. The average speed is given by the formula:

Average \ speed=\frac{total\ distance}{total\ time}\\ Substituting: \\ Average \ speed=\frac{1350\ m}{50\ s} = 27\ m/s

b) From the graph, the total distance covered is the area of the graph. The graph is made up of a rectangle and triangle, the area of the graph is equal to the sum of area of rectangle and area of triangle.

Total \ distance=Total\ area=Area\ of \ rectangle+Area\ of \ triangle\\Total \ distance=(length *breadth)+\frac{1}{2}base*height\\1350 \ m=(40*k)+0.5*10*k\\1350=40k+5k\\45k=1350\\k=1350/45\\k=30\ m/sc) i) The gradient in the last 10 seconds is the ratio of change in speed to change in time

Gradient=\frac{change\ in\ speed }{change\ in\ time}=\frac{0-k}{50-40}  \\ bt \ k=30\\Gradient=\frac{0-30}{50-40}= \frac{-30}{10} =-3

ii) Since the gradient is negative it means it is deceleration. That is in the in the last 10 seconds the vehicle decelerates at a rate of 3 m/s²

6 0
3 years ago
9. What is the scale factor of the dilation?
hodyreva [135]

Answer:

D

Step-by-step explanation:

The scale factor is the ratio of the corresponding sides, image to original, that is

scale factor = \frac{P'S'}{PS} = \frac{6}{3} = 2 → D

5 0
3 years ago
Yo, can u help me with this, please?​
GarryVolchara [31]

Answer:

it is 12

Step-by-step explanation:

8 0
3 years ago
What is the equation of the line below?
Licemer1 [7]

Answer:

y = -\frac{2}{3}x + 1

Step-by-step explanation:

The equation of the line shown can be expressed in the slope-intercept formula as y = mx + b

Let's find m = slope, and b = y-intercept.

Using two points on the line, (0, 1) and (1½, 0),

slope (m) = \frac{y_2 - y_1}{x_2 - x_1} = \frac{0 - 1}{\frac{3}{2} - 0} = \frac{-1}{\frac{3}{2}} = - \frac{2}{3}

y-intercept, b is where the line intercepts the y-axis = 1.

To create an equation for the line, substitute m = -⅔, b = 1 in y = mx + b.

✅The equation would be:

y = -\frac{2}{3}x + 1

4 0
3 years ago
The measure of Angle DAB equals 105°. The measure of Angle ACB equals 35°. What is m Angle ABC? ​
Mrrafil [7]

Answer:

Angle B / angle ABC = 70 degrees

Step-by-step explanation:

well angle B plus angle C will equal the outer angle

so if angle C is 35 and you have the outer angle just subtract and get

angle B to equal 70  

7 0
3 years ago
Read 2 more answers
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