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
NeX [460]
3 years ago
13

Electrical wire is being wound around a drum with a radius of 1.1 meters. How much line (to the nearest hundredth of a meter) wo

uld be wound around the drum if it is rotated through an angle of 315.7 degrees?
Mathematics
1 answer:
Rudik [331]3 years ago
7 0

Answer:

6.81m

Step-by-step explanation:

Using the formula for finding the length of am arc

L = theta/360° × 2πr

theta is the angle subtended by the drum in rotation

r is the radius of the drum

Given theta = 315.7°

r = 1.1m

Substituting the given values into the formula we have:

L = 315.7/360 × 2π(1.1)

L = 315.7/360 × 2.2π

L = 315.7/360 × 2.2(3.14)

L = 315.7/360 × 6.91

L = 6.81metres

Line of about 6.81metres will be wounded around the drum

You might be interested in
Anne wants to fill 12 hanging baskets with compost. Each hanging basket is a hemisphere of diameter 40 cm.
murzikaleks [220]

Answer:

no

Step-by-step explanation:

Steps to answering this question

  1. determine the volume of the 12 basket

volume of a hemisphere = (2/3)πr^3

n = 22/7

r = radius

the diameter is the straight line that passes through the centre of a circle and touches the two edges of the circle.

A radius is half of the diameter

radius = 40/2 = 20 cm

volume of one hemisphere = (2/3) x (22/7) x (20^3) = 16,761.90 cm^3

volume of the 12 baskets = 16,761.90 cm^3 x 12 = 201,142.86 cm^

2. convert the litres of compost to cm and multiply by the total bags of compost

1 litre = 1000cm

1 bag of compost = 50 x 1000 = 50,000

4 bags of compost = 50,000 x 4 = 200,000 cm

3. compare which figure is higher. the figure gotten in step 1 or 2

201,142.86 cm^3 is greater than 200,000

there is no enough compost

473691.4

273691.4

3 0
2 years ago
Can u please help to warn: No links or I will report thank you, and have a blessed day!!
aleksandr82 [10.1K]

Answer:

1.) 1/4

2.) 5/12 i am not sure about this one

Step-by-step explanation:

1.) Chance of tales:

Chance of even number: 3/6 or 1/2

Multiply: (1/2)(1/2) = 1/4

7 0
2 years ago
Twice the length of a rectangle is three times the width. The perimeter of the rectangle is 320 cm. Find the dimensions of the r
alekssr [168]

Answer:

106

Step-by-step explanation:

divided 320 by 3

7 0
2 years ago
Which graph matches the exponential function f(x) = (3)x?
kondaur [170]
What are the graphs?
4 0
2 years ago
What can you conclude about lineDB?
Ilia_Sergeevich [38]

line DB bisects line AC

5 0
3 years ago
Other questions:
  • The points P(−3, 6) and Q(1, 4) are two vertices of right triangle PQR . The hypotenuse of the triangle is PQ⎯⎯⎯⎯⎯ .
    13·2 answers
  • If a coin is tossed and a number cube is rolled, what is the probability that the coin shows heads and the number cube shows 3
    5·1 answer
  • Determine which of the following points lies on the line y= 5/4 x + 2
    11·1 answer
  • M is the midpoint of AB. Find the coordinates of B given A(3,8) and M(5,4).
    10·1 answer
  • The common ratio of the sequence. 2.-10.50,- 250,...<br>1<br>-5<br>12<br>-5<br>-12<br>Description​
    12·1 answer
  • Need help plzz%zzzzzzzzzzzz
    7·1 answer
  • Which graph represents a function
    8·1 answer
  • The graph of y=f(x) is shown below. Which point could be used to find f(-2)
    12·1 answer
  • Help please due today
    7·1 answer
  • Elliott has 4 columns of marbles. He has 3 marbles in each column. How many marbles does he have in all? *
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!