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
Otrada [13]
3 years ago
9

A woman rides a bicycle for 3 hours and travels 51 kilometers. Find the angular velocity of the wheel if the radius is 30 centim

eters
Mathematics
1 answer:
PSYCHO15rus [73]3 years ago
5 0
First step is to find the circumference of the wheel (pi x diameter)
The radius is half of the diameter so 2 x 30 = 60
60 x pi (3.14) = 188.4 centimeters or 1.884 meters

Changing the kilometers into meters, and diving by 3 (to reduce the 3 hours into meter per hour) you'd get the total distance covered is 36,000 meters which equates to 12,000/hour or 200 meters/minute or 3.33 meters/second.

You take 3.33 and divide it by 1.884 which will give you 1.7675
Now you multiply it by the number of degrees of the wheel (which of course is 360) so 1.7675 x 360 = 636.3

Your answer is 636.3 degrees per second.
You might be interested in
Which substances dissolve in water? Check all of
Arturiano [62]

Answer:

polar liquids and polar solids

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
The measure of an interior angle of a regular octagon is how many degrees greater than the measure of an interior angle of a reg
harina [27]

Answer:

Step-by-step explanation:

Sum of interior angle of any polygon = 180* (n- 2 )

Here, n= number of sides

Sum of interior angles of regular octagon = 180 * ( 8-2) = 180 * 6 = 1080°

In regular octagon, all the angles are congruent,

So, measure of an interior angle of regular octagon = 1080/8 =  135°

Sum of interior angles of regular hexagon = 180 * ( 6-2) = 180*4 = 720°

In regular hexagon, all the angles are congruent,

So, measure of an interior angle of regular hexagon = 720/6 =  120°

The measure of an interior angle of a regular octagon is  greater than the measure of an interior angle of a regular hexagon by 15°

3 0
3 years ago
The distance traveled by a certain vehicle varies directly to the amount of fuel the vehicle consumes. The vehicle traveled 90 m
olga_2 [115]

Answer:

The vehicle covers 126 miles on 7 gallons of fuel.

Step-by-step explanation:

Given:

The distance traveled is directly proportional to the amount of fuel.

For F gallons of fuel distance traveled D miles can be given as:

D ∝ F

D=kF

where k is constant of proportionality.

The vehicle covers D=90 miles on F=5 gallons.

So

90=k(5)

Dividing both sides by 5.

\frac{90}{5}=\frac{k(5)}{5}

18=k

∴ k=18

When F=7 gallons

D=(18)(7)

D=126 miles

∴ The vehicle covers 126 miles on 7 gallons of fuel.

4 0
3 years ago
Find the rate of change of the area of a square with respect
Romashka [77]
Let the side length of the square be x, then A = x^2
but diagonal (z) = sqrt(2x^2)
z^2 = 2x^2
x^2 = 1/2 z^2

Thus, A = 1/2 z^2
dA/dz = 1/2 (2z) = z
The rate of change is z.

When z = 4, the rate is 4.
4 0
3 years ago
Find the x - intercept of the graph of the equation
Alborosie

Answer:

ugh should i drop out

Step-by-step explanation:

5 0
3 years ago
Other questions:
  • Given that (2, -8) is on the graph of f(x), find the corresponding point for the function f(x+5).
    15·1 answer
  • Which of the following types of figures may not be a parallelogram?
    7·2 answers
  • I have to reflect a triangle over the line of reflection n: y = 0. What does that mean?
    13·1 answer
  • A price p (in dollars) and demand x for a product are related by
    12·1 answer
  • How much interest will jovanny pay on a 60 month auto loan for $45,500 with a compound interest of 13.7 %??
    10·1 answer
  • HELP!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! 20 points!!!!!!
    11·2 answers
  • The exact value of cos 5pi/12 is:
    9·1 answer
  • Help please solve for x<br> i will give brainliest
    6·1 answer
  • Order 7.007, 70.07, 70.700, 7.070 greatest to least.
    5·1 answer
  • use the coordinate plane above. write the ordered pairs that names each point. then identify the quadrant where each point is lo
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!