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
Vedmedyk [2.9K]
3 years ago
13

The radius of a circle is increased from 8.008.00 to 8.038.03 m. Estimate the resulting change in​ area, and then express the es

timate as a percentage of the​ circle's original area. The estimated change in area is nothing msquared2.
Mathematics
1 answer:
Reika [66]3 years ago
7 0

Answer:

Step-by-step explanation:

The area of a circle is expressed as

Area = πr^2

Where r = radius of the circle

π = constant = 3.14

The radius of a circle is increased from 8.00800 to 8.03803 m. This means that the original radius of the circle is 8.00800 and the new radius of the circle is 8.03803

Area of original circle =

3.14 × 8.00800^2 = 201.36212096

Area of new circle =

3.14 × 8.03803^2 = 202.87516852203

Increase in area = 202.87516852203 - 201.36212096

= 1.51304756203

Expressing the change as a percentage, it becomes

1.51304756203/201.36212096 ×100

Percentage change = 0.75 %

You might be interested in
Find the perimeter of the triangle NET
Vinil7 [7]
There’s no photo for the triangle NET
6 0
2 years ago
If f(x)=3x+2,find f(f^-1(14)).
lisov135 [29]

Answer:  14

<u>Step-by-step explanation:</u>

f(x) = 3x + 2

To find f⁻¹, swap the x's and y's and solve for y --> Note: f(x) is y

x = 3y + 2

x - 2 = 3y

\dfrac{x-2}{3}=y

\implies f^{-1}(x)=\dfrac{x-2}{3}

\implies f^{-1}(14)=\dfrac{14-2}{3}

\implies f^{-1}(14)=\dfrac{12}{3}

\implies f^{-1}(14)=4

f(f⁻¹(14)) = f(4)

              f(4) = 3(4) + 2

                     = 12 + 2

                     = 14

NOTE: the simplified version is .... f and f⁻¹ cancel out, leaving you with 14

4 0
3 years ago
You measure 25 turtles' weights, and find they have a mean weight of 31 ounces. Assume the population standard deviation is 12.8
Firlakuza [10]

Answer:

Margin of error = 4.21 ounces  

Step-by-step explanation:

According to the Question,

  • Given That, You measure 25 turtles' weights, and find they have a mean weight of 31 ounces. Assume the population standard deviation is 12.8 ounces

Therefore, Sample mean = 31 ounces  ,  Sample size(n) = 25 , Alpha(α) = 0.10 & Population standard deviation(σ) = 12.8 ounces

  • Thus, Margin of error  = Z_{critical} × σ / √n  (Z_{critical} at α=.010 is 1.645)

Putting The Values, We get

1.645 × (12.8 / √25 ) ⇒ 4.2112 ≈ 4.21

Thus, the maximum margin of error associated with a 90% confidence interval for the true population mean turtle weight is 4.21 ounces

8 0
3 years ago
What is a polynomial​
luda_lava [24]

Answer:

In mathematics, a polynomial is an expression consisting of variables and coefficients, that involves only the operations of addition, subtraction, multiplication, and non-negative integer exponentiation of variables. An example of a polynomial of a single indeterminate x is x² − 4x + 7

Step-by-step explanation:

6 0
2 years ago
Express sin110 as ratio of acute angle
lesya [120]

Answer:

sin70°

Step-by-step explanation:

Given sin110° where 110° is an obtuse angle in the second quadrant.

The related acute angle in the first quadrant is 180° - 110° = 70°

Thus

sin110° = sin70°

8 0
3 years ago
Other questions:
  • What property is shown in the equation<br><br> a(b * c) = ( a * b)c
    13·2 answers
  • PLS HELP 20 POINTS
    11·1 answer
  • In basketball, Shaquille makes 40% of his free throw attempts. He goes to the free throw line to shoot one-and-one (if he makes
    13·2 answers
  • At the beginning of the season, MacDonald's had to remove 5 orange trees from his farm. Each of the remaining trees produced 210
    9·2 answers
  • Subtract (3 + 2i) from (-9-81)<br> 0 -17 – 51<br> 0-6 – 67<br> 0 -12 – 101<br> 0 12 + 101
    13·1 answer
  • If h hours and 20 minutes is equal to 380 minutes. What is h?<br>​
    7·2 answers
  • (a+4)(a-2) please help
    11·1 answer
  • Today's high temperature is 72°F. If yesterday's high temperature was 87°F, what was the change in high temperatures
    11·1 answer
  • Calculate x,y and z fully and give reasons.
    8·1 answer
  • What is the value of y
    9·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!