A standard clock has a 1-cm hour hand and a 2-cm minute hand. At 12 pm, they are both pointing in the same direction and the distance between the ends of the hands is 1 cm. What is the exact distance between the ends of the hands at 2 pm
Answers
Answer:
The distance between the hands is √(3)cm ≈ 1.73cm.
Step-by-step explanation:
In a standard clock, the angle between every number is 30°, therefore the angle between 12 and 2 will be 30° x 2 = 60°.
Looking at the diagram, to find c we can make use of our cosine formula
c² = a² + b² –2abCos(C°)
a = 2, b = 1 and C° = 60°
Therefore we have:
c² = 2² + 1² –2 x 2 x 1 x cos(60°) =
c² = 4 + 1 – 4 x 0.5 =
c² = 5 – 2 =
c² = 3
c = √(3) ≈ 1.73
Therefore, the distance between the hands is √(3)cm ≈ 1.73cm.
Related Questions
A car travels 62 miles in 1.3 hours. If the car continues traveling at the same speed, how many hours will it take to travel 124 miles?
2.6 hours
3.2 hours
4.8 hours
5.4 hours
Answers
Cross multiply
62x= 124 times 1.3
62x = 161.2
X= 2.6
(x + 1)^2 -8 (x-1 +16)
Answers
Answer: x2−6x−119
Step-by-step explanation:
provided in the screenshot below
Noah said, “When you divide a number by a second number, the result will always be smaller than the first number.”
Jada said, “I think the result could be larger or smaller, depending on the numbers.”
Do you agree with Noah or Jada? Show or explain your reasoning.
Answers
Answer:
When dividing two fractions by each other, the result will be larger. Dividing two whole numbers, however, will always result in a smaller number because you're taking away a part of the number.
Step-by-step explanation:
Number 1
In the relation, what is the domain?
I
In the relation, what is the range?
Answers
Answer:
Step-by-step explanation:
D(x)= (-1, -1\2, 3/2, 2)
A domain is any X value in an array of ordered pairs
I need help ASAP I’ll mark you brainliest if you help pls
Answers
Answer:
1 hour sorry if wrong
Step-by-step explanation:
Quick need help for this question
Answers
Please help me fastttt!!!!
Answers
Answer:
-4
Step-by-step explanation:
2^2 =4
PMDAS
-36 / 4 +5
-9+5
-4
I need help with problem 8 with work shown and explanation
ASAP PLEASE!!!!!!!!
Answers
Answer:
6 movies = 1st plan
7 movies = 1st plan
8 movies = Either is fine. (They're the same price)
9 movies = 2nd plan
10 movies = 2nd plan
Step-by-step explanation:
6 movies (1st plan) = 20 + 5 × 6
= 50 (less than 60 so it is cheaper)
7 movies (1st plan) = 20 + 5 × 7
= 55 (less than 60 so it is cheaper)
8 movies (1st plan) = 20 + 5 × 8
= 60 (same as 2nd plan so either is fine)
9 movies (1st plan) = 20 + 5 × 9
= 65 (more than 60 so 2nd plan is better)
10 movies (1st plan) = 20 + 5 × 10
= 70 (more than 60 so 2nd plan is better)
What is the decimal value of 5/6
Answers
Answer:
0.83
Step-by-step explanation:
The 3 keeps going on and on and on :)
Hey there!
• In order to CONVERT a FRACTION to a DECIMAL, all you have to do is DIVIDE the NUMERATOR (TOP number) from the DENOMINATOR (BOTTOM number)
• “What is the decimal value of 5/6?”
5 / 6 = 5 ÷ 6 → 0.83
Answer: 0.83 ☑️
Good luck on your assignment and enjoy your day!
~LoveYourselfFirst:)
Help ASAP Please. Working on this now. Look at picture for question and answer A, B, C
Answers
Answer:
look at step by step
Step-by-step explanation:
A) That is the number of bacteria that originally started in the culture
B) That is the rate at which the bacteria will reproduce
C) 1000 represents the number of bacteria at the beginning of the second culture.
The first study started with more bacteria, and will grow faster because of this
Pete has 4 packs of gum balls. Each pack has 5 gum balls. If Pete gives the same number of gum balls to 6 friends, how many gum balls will each friend get?
2
3
4
5
Answers
Answer:
I would say 3
Step-by-step explanation:
Can someone help me please
Answers
Answer:
krkk4k4k
Step-by-st man this really is an annoying question
hellllllllllllllllllllllllllp me plzzzzz
Answers
D. 7 miles
Step-by-step explanation:
26.5/4 =6.62
So the best estimate is 7 miles
How much will the store be selling the cans of spam if they want to make a 420% profit?
Answers
Answer:
how many cans?
Step-by-step explanation:
What is the slope of the line which passes through (4,7) and (2, 3)? (5 points)
2
-2.
3
-5
Answers
Answer:
2
Step-by-step explanation:
A triangle with vertices A(0,0), B(6,0), and C(0,9) is rotated 360 about the y-axis. What is the volume of the figure?
Answers
Given:
A triangle with vertices A(0,0), B(6,0), and C(0,9) is rotated 360 about the y-axis.
To find:
The volume of the figure.
Solution:
Points A(0,0) and C(0,9) lies on the y-axis. Length of AC is 9 units.
Points A(0,0) and B(6,0) lies on the x-axis. Length of AB is 6 units.
If a triangle with vertices A(0,0), B(6,0), and C(0,9) is rotated 360 about the y-axis, then it will form a cone with radius 6 units and height 9 units.
Volume of a cone is
[tex]V=\dfrac{1}{3}\pi r^2h[/tex]
where, r is radius of the base and h is vertical height of the cone.
Putting r=6 and h=9, we get
[tex]V=\dfrac{1}{3}\pi (6)^2(9)[/tex]
[tex]V=\pi (36)(3)[/tex]
[tex]V=108\pi[/tex]
Therefore, the volume of the figure is [tex]108\pi[/tex] sq. units.
Catalinas mother recorded her Height each year. The table below shows her height in inches
Answers
You can use the interactive graph below to find the answer.
\begin{cases} y=x+1 \\\\ y=2x-5 \end{cases}
⎩
⎪
⎪
⎨
⎪
⎪
⎧
y=x+1
y=2x−5
Choose 1 answer:
Choose 1 answer:
(Choice A)
A
Exactly one solution
(Choice B)
B
No solutions
(Choice C)
C
Infinitely many solutions
Answers
Answer:
there is only one solution.
Step-by-step explanation:
hope this helps!
How can we find how many inches wide the coat box is?
Answers
Answer:
First we found the sum of 15.438 and 3.18. The subtract the answer from 32.476.
Option A is correct.
Step-by-step explanation:
The total width of box is = 32.476
Width of box of T-shirts = 15.438
Width of box of Socks = 3.18
We need to find width of coat box.
The width of coat box can be found as:
Total Width = Width of box of T-shirts + Width of box of Socks + width of coat box
32.476 = 15.438 + 3.18 + width of coat box
32.476 = 18.618 + width of coat box
width of coat box= 32.476 - 18.618
width of coat box = 13.858
So, The Width of coat box = 13.858 inches
First we found the sum of 15.438 and 3.18. The subtract the answer from 32.476.
Option A is correct.
40 . 8- 10 exponent 2
Answers
Answer:
-92
Step-by-step explanation:
8 - (10^2)
Answer:
2
2-
Step-by-step explanation:
2 over 2 exponent
On a coordinate plane, a triangle has points A (negative 5, 3), B (negative 2, 4), C (negative 2, 2).
Triangle ABC is shown on the graph. What are the coordinates of the image of point B after the triangle is rotated 270° about the origin?
(4, 2)
(2, 4)
(–4, –2)
(–2, –4)
In the diagram, the length of segment QV is 15 units.
Line m is a perpendicular bisector of line segment S Q. It intersects line segment S Q at point R. Line m also contains points T and V. Line segment T S is 3 x + 2. Line segment S V is 4 x minus 1.
What is the length of segment TQ?
4 units
11 units
14 units
15 units
Answers
What is the slope of the line?
The graph shows the relationship between the volume
of a rectangular prism and the volume of a square
pyramid with an identical base and height.
-3
Prism vs. Pyramid
10
HM
9
O
Prism Volume (cubic units)
9
10
Answers
Answer:
the slope is 3
Step-by-step explanation:
explain how to use friendly percents to find 35% of 80
Answers
.35*80=28
1
60°
6
7
4
LO
40°
2
3
30%
20°
Jo measures of a triangle.
its angles.
Help plzz
Answers
Answer:
1=50
2=90
3=60
4=60
5=60
6=60
7= 120
Step-by-step explanation:
Click the photo to find the measure of each interior angle of the regular polygon
Answers
==============================================
Work Shown:
n = number of sides = 6
i = measure of interior angle
i = 180(n-2)/n
i = 180(6-2)/6
i = 180(4)/6
i = 720/6
i = 120
Each interior angle of this regular hexagon is 120 degrees.
-----------------
Alternative Approach:
E = exterior angle
E = 360/n
E = 360/6
E = 60
Each exterior angle of this regular hexagon is 60 degrees
i+E = 180
i = 180-E
i = 180-60
i = 120
We get the same answer.
Which of the following fractions is equivalent to (−13)÷(−6)? Select two that apply.
A −13/6
B −6/13
C −2 1/6
D 2 1/6
E 6/13
F 13/6
Answers
Answer:
D and F
Step-by-step explanation:
Please mark brainliest.
Answer: D 2 1/6 F 13/6
Step-by-step explanation: I got this question on my test
SOMEONE PLEASE HELP MEEEEE!!!!!
The Venn diagram represents the Quantum Physics High School student body. Circle A represents all students enrolled in extracurricular activities. Circle B represents all female students. There are 117 female students enrolled in extracurricular activities, and the enrollment of the high school is 1,000 students. There are 450 male students. How many female students are not enrolled in extracurricular activities?
A.
117
B.
433
C.
550
D.
883
Answers
Answer:
total population of school = 1000
1000 - 450 males = 550 female students
550 - 200 females not in extra curriculars = 350 females in extra curriculars
350 + 90 males in extra curriculars = 440 total in extra curriculars
Circle A = 440
Circle B - overlap = 200 females not in extra curriculars
440 + 200 = 640
1000 - 640 = 370 students represented by the portion of the Venn diagram not in either circle
Step-by-step explanation:
Answer:
Its a
Step-by-step explanation:
pls help me im timed :(
Answers
the answer is most definitely g cus they’re congruent to each other.
Two pounds of grapes cost $6.
Complete the table showing the price of different amounts of grapes at this rate
Answers
Answer:
2, 6
4, 12
8, 18
and so on
Step-by-step explanation:
multiply the number on the right by itself and do the same with the number on the left, this pattern could go on forever,
What is 15/22 as a repeating decimal?
Answers
Answer:
0.6818
Step-by-step explanation: