answer.
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
just olya
9 days ago
15

You have a fishing line spool with an end that has an area of 20.0 cm2. How much fishing line do you need to wind around the spo

ol 10 times?
Express your answer (in cm) to three significant figures.
Mathematics
1 answer:
PIT_PIT [3.9K]9 days ago
3 0

Solution Procedure

Considering the spool as a cylindrical shape, and calculating the circumference based on the area cited, we establish the connection between circumference and area as follows:

... C = 2√(πA)

To find ten times this circumference, we calculate:

... 10C = 20√(π·20 cm²) = 40√(5π) cm ≈ 159 cm

Derivation of Formulas

The standard formulas for circumference and area are:

... C = 2πr

... A = πr²

Multiplying the area formula by π and extracting the square root yields:

... πA = (πr)²

... √(πA) = πr

Doubling this value results in the circumference formula:

... C = 2√(πA) = 2πr

You might be interested in
Starting from 300 feet away, a car drives toward you. It then passes by you at a speed of 48 feet per second.The distance d (in
Zina [3914]
From a distance of 300 feet, a car approaches you at a speed of 48 feet per second. The distance d (in feet) of the car from you after t seconds can be described by the equation ​d=|300−48t|​. At what moments does the car find itself 60 feet away from you?
4 0
5 days ago
The area of the postcard is 24 square inches. What is the width b of the message (in inches)?
Leona [4166]
Area of a rectangle = length x width
For this postcard:
length = 4 in
width = (3+b) in
area = 24 in^2

Substitute into the area formula:
24 = 4 x (3+b)
24 = 12 + 4b
24 - 12 = 4b
12 = 4b
b = 3 in

Therefore:
the length of the postcard = 4 inch
the width of the postcard = b+3 = 3 + 3 = 6 inch
4 0
14 days ago
The table shows the estimated number of lines of code written by computer programmers per hour when x people are working. A 2-co
tester [3916]

Answer:

Crearemos una tabla con estos valores según diferentes valores de x.

x                  A                 B                C               D

2              66.66          49.3            52.5           50

4             94.57            71.44           106.3         104  

6             134.14           103.57         160.1          158

8             190.27        150.14          213.9         212

10           269.91           217.64         267.7         266

12           382.85          315.5           321.5          320.

Por lo tanto, la función que mejor representa los datos es:

Opción C.

y=26.9x-1.3

Explicación paso a paso:

4 0
9 days ago
A storage closet holds twelve boxes stacked upon each other, with each box being 10 inches high. How many feet are there between
babunello [3635]

Answer: 5

Explanation step-by-step: There are six boxes stacked between the top of the third box and the bottom of the tenth box.

Since each box measures 10 inches in height, the combined height of these six boxes is 60 inches.

Given that 12 inches equals 1 foot,

60 inches corresponds to 5 feet.

How to find the answer:

Let "y" represent the unknown length in feet.

12 inches = 1 foot

60 inches = y

Using cross multiplication:

> 12 × y = 60 × 1

> 12y = 60

Divide both sides by 12 to solve for "y":

> 12y ÷ 12 = 60 ÷ 12

After simplification, we get:

> y = 5

6 0
15 days ago
Read 2 more answers
SALES Cars and trucks are the most popular vehicles. Last year, the number of cars sold was 39,000 more than three times the num
PIT_PIT [3919]

Given :

Miki possesses 104 nickels and 88 dimes. She intends to sort her coins into sets where each set has an equal count of both nickels and dimes.

Last year, 216,000 cars were sold.

To Find :

An equation that can identify the number of trucks, t, sold the previous year.

Solution :

Let t represent the quantity of trucks sold and c represent the cars sold.

The statement indicates that the quantity of cars sold exceeded three times the trucks sold by 39,000.

Thus,

c=3t+39000\\\\t=\dfrac{c-39000}{3}

Plugging the value of c = 216000 into the equation above yields :

t=\dfrac{c-39000}{3}\\\\t=\dfrac{216000-39000}{3}\\\\t=59000

This gives us the solution we seek.

​

8 0
16 days ago
Other questions:
  • Unless otherwise specified, the domain of a function f is assumed to be the set of all real numbers x for which f(x) is a real n
    8·1 answer
  • If f(x) = 4 – x2 and g(x) = 6x, which expression is equivalent to (g – f)(3)?
    11·2 answers
  • The following boxplot shows the typical gas mileage, in miles per gallon, for 20 different car models.
    6·1 answer
  • Assume that 12 people, including the husband and wife pair, apply for 4 sales positions. People are hired at random.
    5·1 answer
  • must a function that is decreasing over a given interval always be negative over that same interval explain
    15·2 answers
  • 2. Ilang kontinente ang bumubuo sa daigdig?<br>A. 5<br>B. 6<br>C. 7<br>D. 8<br>D
    12·1 answer
  • Jerry buys a pack of pencils that cost $3 David buys 4 sets of markers each set of marker also cost 3 what is the total cost of
    10·1 answer
  • Q is in the interior of angle ROS S in the interior of angle QOP. P is in the interior of angle SOR. S is in the interior of ang
    9·1 answer
  • (a) For what values of k does the function y = cos(kt) satisfy the differential equation 81y'' = −4y? (Enter your answers as a c
    7·1 answer
  • Triangle ABC below has a right angle C and a height CD. (A height in a triangle connects its vertex and the opposite side, and i
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!