Answer:
a = 84°
b = 36°
c = 24°
d = 84°
e = 132°
Step-by-step explanation:
The parameters of the workers in the office are;
The number of staffs in the office = 60 staffs
The take-aways are pizza, curry, fish & chips, kebab and other
The frequency for the above take-aways = 14, 6, 4, 14, and 22 respectively
The variables for the angles representing the above take-aways on the pie chart = 'a', 'b', 'c', 'd', and 'e'; respectively
In order to find the size of the angles that represent each group of workers in the pie chart, we find the ratio of the group size to the total number of workers and we multiply the result by 360° as follows;
∠a = 360° × 14/60 = 84°
∠b = 360° × 6/60 = 36°
∠c = 360° × 4/60 = 24°
∠d = 360° × 14/60 = 84°
∠e = 360° × 22/60 = 132°
Answer:
(3, - 5 )
Step-by-step explanation:
Under a clockwise rotation about the origin of 270°
a point (x, y ) → (- y, x ), hence
Z(5, - 3 ) → Z'(3, - 5 )
Basically, you take the amount of money earned, and divide it by the hours worked. So 734.15 divided by 37= 19.84189189189189 hope I helped
Options
A. The number of cars passing through the intersection in one hour
B. The number of pedestrians crossing the intersection in one hour
C. The number of bicyclists crossing the intersection in one hour
D. The number of food trucks that park within four blocks of the intersection
E. The number of minutes for a car to get from the intersection to the administration building
Answer:
The number of minutes for a car to get from the intersection to the administration building
Step-by-step explanation:
A variable is said to be discrete if and only if it has a countable number of values. While a variable is said to be continuous if it can take infinitely many values.
Option a to d contains discrete variables (1 hour) and (4 blocks), so they can't be regarded as the right option. 1 hour and 4 blocks are specified values and they can't take any other fraction of values aside 1 and 4 respectively.
Looking at option e, the variable, number of minute as stated in this option is a continuous variable. This is so because at any two interval of minutes, fractions and lots of a minute can always be recorded by the engineer to study the traffic flow
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:
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.
c) i) The gradient in the last 10 seconds is the ratio of change in speed to change in time
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
