ggaurisha
Answered

Westonci.ca is the Q&A platform that connects you with experts who provide accurate and detailed answers. Get immediate and reliable answers to your questions from a community of experienced professionals on our platform. Get detailed and accurate answers to your questions from a dedicated community of experts on our Q&A platform.

What is the smaller angle formed by the minute and hour hands at 3:30pm?


[asy]

unitsize(50);

draw(Circle((0,0),1),black+1);

dot((0,0));

for(real i=0;i<360;i+=6){

draw(0.96*(cos(i*pi/180),sin(i*pi/180))--(cos(i*pi/180),sin(i*pi/180)),black+0.5);

};

for(real i=30;i<390;i+=30){

draw(0.93*(cos(i*pi/180),sin(i*pi/180))--(cos(i*pi/180),sin(i*pi/180)),black+0.5);

label(string(i/30),0.83*(sin(i*pi/180),cos(i*pi/180)));

};


real h=3.5; real m=30;

draw(0.65*(sin(pi/6*(h)),cos(pi/6*(h)))--(0,0)--0.9*(sin(pi/30*m),cos(pi/30*m)),black+1,Arrows(TeXHead));

draw(anglemark(dir(-90),origin,dir(-15),5));

[/asy]

What Is The Smaller Angle Formed By The Minute And Hour Hands At 330pmasyunitsize50drawCircle001black1dot00forreal I0ilt360i6draw096cosipi180sinipi180cosipi180s class=

Sagot :

Answer:

75 degrees

Step-by-step explanation:

At 3:30, the hour hand is halfway between the 3 and the 4. The minute hand is exactly on the 6.

There are 360/12 = 30 degrees between each of the marked hours. The angle between the hands covers 2.5 of these gaps, so the angle between the hands is 2.5(30) = 75 degrees.

Hope this helps!

facundo3141592

The angle between the hands at 3:30 pm is 90°.

What is the angle between the hands of a clock at 3:30 pm?

At that time, one hand points at the 3, and the other hand points at the 6.

Now, there is a rule to transform time into angles.

We know that a clock has 12 hours in a full revolution, and a circle has 360° in a complete revolution.

Then we know that:

12 hours = 360°

Then:

1 hour = (360°/12)  = 30°

So each between each number in the clock we have an angle of 30°.

Then, between 3 and 6 (3 hours) we have:

3*30° = 90°

The angle between the hands at 3:30 pm is 90°.

If you want to learn more about angles, you can read:

https://brainly.com/question/17972372

Thank you for visiting. Our goal is to provide the most accurate answers for all your informational needs. Come back soon. We hope this was helpful. Please come back whenever you need more information or answers to your queries. Thank you for visiting Westonci.ca. Stay informed by coming back for more detailed answers.