We know that
180 degrees is equal to pi radians
so
for 30 degrees
180°--------> pi radians
30°--------> x
x=30*pi/180------> x=pi/6 radians
for 60 degrees
180°--------> pi radians
60°--------> x
x=60*pi/180------> x=pi/3 radians
for 90 degrees
180°--------> pi radians
90°--------> x
x=90*pi/180------> x=pi/2 radians
the answer is the option c
pi/6,pi/3,pi/2
Vineet can conclude that:
B ) the system of equations does not have a solution.
Answer:
The distance to his office is 2.5 miles.
Step-by-step explanation:
Given : Wade bicycles at a speed of 10 miles an hour and arrives at his office in only 15 minutes.
To find : What is the distance in miles to his office?
Solution :
The relationship between distance, speed and time is

The speed of bicycle is 10 miles per hour.
Time taken is 15 minutes.
Converting into hours,
1 hour = 60 minutes
1 minute =
hours
15 minute =
hours
15 minute = 0.25 hours
Substitute the value sin the formula,


Therefore, The distance to his office is 2.5 miles.
7.5x18.74= 140.55 is the correct answer
Answer:
Answer:
Option B is correct.
Miguel should study for the Science quiz as he will do worse in that quiz by guessing.
Step-by-step explanation:
Miguel has to take two quizzes
1) 4 true or false questions on History with a 0.5 chance of acing the quiz
Expected number of correct questions = np
n = number of questions
p = probability of acing the test
Expected number of correct questions = 4 × 0.5 = 2
2) 3 multiple choice questions on Science with a 0.2 chance of acing the quiz.
Expected number of correct questions = 0.2 × 3 = 0.6
It is evident that guessing would yield a worse result in the Science quiz with less than 1 question expected to be correct than history, where he is still expected to get 2 questions correctly by guessing.