1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
dusya [7]
3 years ago
11

Which one is the correct answer?

Mathematics
1 answer:
Molodets [167]3 years ago
5 0
The answer selected is the correct answer because all of the other ones are equivalent to each other.
You might be interested in
How cos π/3=1/2?<br>having some problems learning continuity.
Bingel [31]

You can show that \cos\frac\pi3=\frac12 by constructing a triangle.

Take two points, O(0, 0) and A(1, 0), and let B be the point on the unit circle such that the angle between the line segments OA and OB is \frac\pi3 radians.

Since both A and B lie on the circle, the line segments OA and OB both have length 1 (same as the circle's radius). We finish constructing the triangle by connect A and B.

Since OB and OA have the same length, triangle OAB is isosceles, but more than that, it's also equilateral. Why? Because the interior angles of any triangle always add to \pi radians. We know one of the angles is \frac\pi3 radians, which leaves a contribution of \frac{2\pi}3 radians between the remaining angles A and B. Angles A and B must be congruent (because OAB is isosceles), which means they also have measure \frac\pi3 radians.

Next, draw an altitude of the triangle through point B, and label the point where it meets the "base" OA, C. Since OAB is equilateral, the altitude BC is also a perpendicular bisector. That means OC has length \frac12, and by definition of \cos we have

\cos\dfrac\pi3=\dfrac{OC}{OB}=\dfrac{\frac12}1=\dfrac12

3 0
3 years ago
Nancy’s morning routine involves getting dressed , eating breakfast, making her bed , and driving to work . Nancy spends 1/3 of
grin007 [14]

Answer: Nancy needs 26 minutes to driving to work.

Explanation:

Since we have given that

Time taken in eating breakfast = 10 minutes

Time taken in making her bed = 5 minutes

Let the total time taken by her in doing routine activities be x

Time taken in getting dressed is given by

\frac{1}{3}x

So, According to question,

\frac{x}{3}+10+5=35\frac{1}{2}\\\\\frac{x}{3}+15=\frac{71}{2}\\\\\frac{x}{3}=\frac{71}{2}-15\\\\\frac{x}{3}=\frac{71-30}{2}=\frac{41}{2}\\\\x=\frac{123}{2}

Now, we need to find the time taken in driving to work which is given by

\frac{123}{{2}-\frac{71}{2}=\frac{52}{2}=26\ minutes

Hence, Nancy needs 26 minutes to driving to work.

6 0
3 years ago
Distributive property of 12x9+12X7
melomori [17]

Answer:

12(9+7)

Hope this helps  :)

 

5 0
3 years ago
Read 2 more answers
a taxi takes 6 hours to travel from Johannesburg to Durban at a speed of 100 km per hour. how far is it from Johannesburg to Dur
koban [17]

distance is speed multiply by time, from speed equals distance divided by time so we have 100 multiply by 6 which is 600km

4 0
2 years ago
Read 2 more answers
The Chinese Institute of Health Statistics reported that of every 7,883 deaths in recent years, 624 resulted from a traffic acci
elena-s [515]

Answer:

7.92% probability that a particular death is due to a traffic accident

Step-by-step explanation:

The relative frequency approach to find the probability that a particular death is due to a traffic accident is the number of deaths due to traffic accidents divided by the total number of deaths.

We have that:

624 deaths from traffic accidents

7883 total deaths.

So

p = \frac{624}{7883} = 0.0792

7.92% probability that a particular death is due to a traffic accident

8 0
3 years ago
Other questions:
  • All seasons plumbing has two service trucks that frequently need repair. if the probability the first truck is available is .74,
    9·1 answer
  • a specific shade of green glaze requires 5 parts of blue to 3 parts yellow. a glaze mixture contains 25 quarts of blue and 9 qua
    6·1 answer
  • 1.2x+1=7<br>2. 4×-2=6<br>3. -12x-3=-51​
    6·1 answer
  • The mass of a carbon atom is 1.994 × 10-23 grams. The mass of a hydrogen atom is 1.67 × 10-24 grams. What is the difference of t
    13·1 answer
  • Carmen deposits $2000 into an account that pays simple interest at a rate of 3% per year. how much interest will she be paid in
    14·1 answer
  • What is the value of the expression a2 + b3 when a= 1/3 and b= 1/2 ?
    13·1 answer
  • How many rectangular faces does a hexagonal pyramid have?
    6·1 answer
  • Matter is in a liquid state when its temperature is between its melting point and its boiling point. Suppose that some substance
    10·1 answer
  • Rob has -180 points in a game. He gains one-fourth of his points back on his next turn and gains back an additional one-fifth of
    10·1 answer
  • HELP ASAP WILL MARK AS BRAINLIST IF YOU SOLVE 2 OF THESE QUESTIONS
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!