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
Mrac [35]
3 years ago
13

The hour hand on a clock is 4 cm long, and the minute hand is 10 cm long. What is the exact distance between the tips of the han

ds at 10 o'clock?
Mathematics
1 answer:
Allushta [10]3 years ago
4 0

Answer:

2 sqrt(19)

Step-by-step explanation:

We know that the angle between the two hands

360 /12 *2 = 60 degrees

We divide by 12 because there are 12 number and multiply by 2 because there are 2 number between 10 and 12

This is a triangle where we know 2 sides and the angle between them.

We can use the law of cosines to determine the third side

c^2 = a^2 + b^2 -2abcosC

Where C is the angle between sides a and b

a =4 and b = 10  C = 60  and we are looking for side c

c^2 = 4^2 + 10^2 -2*4*10 cos60

c^2 =16+100 - 80cos 60

c^2 = 76

Take the square root of each side

sqrt(c^2) = sqrt(76)

c = sqrt(76)

c =sqrt(4) sqrt(19)

c =2 sqrt(19)


You might be interested in
I need help with problem 22
myrzilka [38]

Answer:

6 art course and 7 writing coures

4 0
2 years ago
Find the exact value of secθ if cscθ=-4/3 and the terminal side of θ lies in Quadrant III.
Anton [14]
Quadrant is III so, sign would be negative for Sec.
Now, we know, csc = H / P
So, H = 4, P = 3
Calculate for B, 
B² = H² - P²
B² = 4² - 3²
B² = 16 - 9
B = √7

We know, sec Ф = H / B = 4 / √7
We can write it as: -4√7 / 7  [ -ve sign for 3rd quadrant ]

In short, Your Answer would be Option B

Hope this helps!
6 0
3 years ago
20 POINTS PLS HELP ASP
svet-max [94.6K]

Answer:

Im thinking it is 50

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
The gray area is the sidewalk. the area of the sidewalk is ___________ square units.
Bas_tet [7]
The area of the sidewalk is 72 square units.                                                          Solution: First, multiply 10 by 12 which equals 120. Then, subtract 6x8=48. So, therefore, 120-48= 72
5 0
3 years ago
How to decompose 1 3/8
MArishka [77]
3/8 = 1/8 +1/8 + 1/8 ; 3/8 = 1/8 + 2/8 ; 2 1/8 = 1 +1 + 1/8 = 8/8 + 8/8 + 1/8.
Hope this helps!
7 0
3 years ago
Other questions:
  • 12. Erma has her eye on two sweaters at her favorite clothing store, but she has been waiting
    15·1 answer
  • Figure LMNP will be reflected across the y-axis. Place the point on the graph that represents
    8·1 answer
  • Using the following table. What is the probability of selecting a sandwich and chip combination that has BBQ chips?
    13·1 answer
  • Why do banks charge fees?
    9·1 answer
  • What is the area of a triangle with base of 20 feet and a vertical height
    13·1 answer
  • What is the value of the flowers?
    15·1 answer
  • Priya has completed 9 exam questions. This is 60% of the questions on the exam.
    9·1 answer
  • What is the length of side MO?<br> O A. 18 cm<br> OB. 5 cm<br> C. 11 cm
    15·1 answer
  • 100 points and brainliest
    13·1 answer
  • A mass oscillating up and down on the bottom of a spring (assuming perfect elasticity and no friction or air resistance) can be
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!