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
kakasveta [241]
3 years ago
12

A pendulum swinging through a central angle of 67 degrees completes an arc of length 7.2 cm. What is the length of the pendulum?

Mathematics
2 answers:
Georgia [21]3 years ago
4 0

Answer:

6.2 cm

Step-by-step explanation:

We are given that

Central angle =67 degrees

Length of an arc=7.2 cm

We have to find the length of pendulum.

We know that

Radian measure=\frac{\pi}{180}\times degree\;measure

By using this formula

67 degrees =\frac{\pi}{180}\times 67=\frac{67\pi}{180} rad

Arc length, s=r\theta

Where r=Radius of circle

\theta=Central angle (in rad)

s=Length of arc

Using this formula then we get

7.2=\frac{67\pi}{180}r

r=\frac{7.2\times 180}{67\pi}=6.2 cm

Hence, the length of pendulum=6.2 cm

Vadim26 [7]3 years ago
4 0

Answer: length of pendulum is 6.16 cm

Step-by-step explanation:

The pendulum swings through a central angle of 67 degrees. The length of the arc formed by the movement of the pendulum is 7.2 cm. Therefore, the length of the pendulum will be the radius of the circle formed. The formula for determining the length of arc is expressed as

Length of arc = #/360 × 2 × π × r

Where

r = radius

π = constant whose value is 3.14

# = central angle

Therefore

7.2 = 67/360 × 2 × 3.14 × r

7.2 = 1.1688r

r = 7.2/1.1688 = 6.16 cm

You might be interested in
The perimeter of a rectangle is 60 cm. The ratio of length to width is 3:2. Find the length and width of the rectangle.
kaheart [24]
Answer: L = 18 and W = 12

Explanation:

Find the semi rectangle:

60/2 = 30

Now we can find the length and width using the semi rectangle:

L = 30 x 3/5 = 18

W = 30 x 2/5 = 12
8 0
4 years ago
Read 2 more answers
Tony has $727.29 in his checking account. He must maintain a $500 balance to avoid a fee. He wrote a check for $248.50 today. Wr
Butoxors [25]
Inequality is
727.29-248.50+x<u>></u>500
x=how much she needs to deposit
478.79+x<u>></u>500
subtract 478.79 from both sides
x<u>></u>21.21


at least $21.21
6 0
4 years ago
Read 2 more answers
Jody sprints 400 meters per minute. How fast does she run in meters per second? Round to the nearest hundredth. *
Dmitry [639]

Answer:

399

Step-by-step explanation:

6 0
4 years ago
Read 2 more answers
Holly missed 7 out of 185 school days this year. Approximately what percent of school days was holly in attendance?
MariettaO [177]
It 96%
subtract 7 from 185 that'll equal 178
use the 178 as the numerator for the days she attended
and 185 as the denominator as the days in total.
178/18= x/100 then solve for x and youll get 96 over 100 or 96%

7 0
3 years ago
Find the zeros of y = x2 – 6x – 4 by completing the square.
katrin [286]

Answer:

The solutions to the quadratic equations are:

x=\sqrt{13}+3,\:x=-\sqrt{13}+3

Step-by-step explanation:

Given the function

y\:=\:x^2\:-\:6x\:-\:4

substitute y = 0 in the equation to determine the zeros

0\:=\:x^2\:-\:6x\:-\:4

Switch sides

x^2-6x-4=0

Add 4 to both sides

x^2-6x-4+4=0+4

Simplify

x^2-6x=4

Rewrite in the form (x+a)² = b

But, in order to rewrite in the form x²+2ax+a²

Solve for 'a'

2ax = -6x

a = -3

so add a² = (-3)² to both sides

x^2-6x+\left(-3\right)^2=4+\left(-3\right)^2

x^2-6x+\left(-3\right)^2=13

Apply perfect square formula:  (a-b)² = a²-2ab+b²

\left(x-3\right)^2=13

\mathrm{For\:}f^2\left(x\right)=a\mathrm{\:the\:solutions\:are\:}f\left(x\right)=\sqrt{a},\:-\sqrt{a}

solve

x-3=\sqrt{13}

Add 3 to both sides

x-3+3=\sqrt{13}+3

Simplify

x=\sqrt{13}+3

now solving

x-3=-\sqrt{13}

Add 3 to both sides

x-3+3=-\sqrt{13}+3

Simplify

x=-\sqrt{13}+3

Thus, the solutions to the quadratic equations are:

x=\sqrt{13}+3,\:x=-\sqrt{13}+3

4 0
3 years ago
Other questions:
  • What is 6+7×y add 10 more
    14·1 answer
  • Write 27% percent as a fraction in its simplist form
    14·2 answers
  • A train car is 50.6ft this is 5.8 feet less than 6 times the width what is the width
    5·2 answers
  • the table below gives the average cost, x (to the nearest hundred) of tuition and fees, y, at a four year college
    5·1 answer
  • URGENT!
    9·2 answers
  • Algebraically solve the following system of equations.
    5·2 answers
  • Which point is an x-intercept of the graph of y = 2x² - 7x + 6
    6·1 answer
  • Which of the following describes a pattern in the table
    15·1 answer
  • Triangle LMN is plotted on a coordinate plane. It is then dilated by a factor of 2 using the origin as the center of dilation, a
    13·1 answer
  • Select the correct answer 80 points!!!!!!!!
    5·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!