Answer:

Step-by-step explanation:
We have been given that on a compass, due east is a 1/4 turn clockwise from due north.
Since we know that a compass is in form of a circle and the measure of degrees in a circle is 360 degrees.
To find the number of degrees in a one-fourth turn, we will divide 360 by 4.
Therefore, there are 90 degrees in a 1/4 turn of compass.
Answer:
2/4 and 4/8 are equivalent because you can use the butterfly method of multiplication. Meaning you multiply the numerator by the other fractions denominator and vis-versa.
Step-by-step explanation:
2 x 8 = 16
4 x 4 = 16
Answer:
x=8
Step-by-step explanation:
Draw it out.... 11x-4=3x+60
(add 4 to both sides)(subtract 3x from both sides)
8x=64
(divide 8 from 64)
x=8
Answer:
2.34 * 10^5.
Step-by-step explanation:
234000 = 2.34 * 10^5
- there are 5 digits after the first number so the exponent is 5.
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°