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
ZanzabumX [31]
3 years ago
14

Chris used 45 meters of fencing to enclose a circular garden. What is the approximate radius of the garden,rounded to the neares

t tenth of a meter? Use 3.14 for π
Mathematics
2 answers:
xxMikexx [17]3 years ago
4 0

We are given the circumference of the circle. The formula for circumference of a circle is C = 2πr, where r is the radius of the circle. Since we want to find r, we can isolate it in the formula.

C = 2πr

Divide both sides of the equation by 2π to isolate the variable.

C / 2π = r

r = C / 2π

The circumference is given as 45 metres. Substitute this into the formula and solve.

r = 45 / 2π

r = 45 / 2(3.14)

r = 45 / 6.28

r = 7.2

Answer:

7.2 metres

kobusy [5.1K]3 years ago
3 0
The length of the fencing corresponds to the length of the perimeter of the garden:
p=45 m
We also know that the perimeter of a circle is given by:
p=2 \pi r
where r is the radius of the circle.

Putting together the two equations, we have
2 \pi r = 45
from which we can find r, the radius of the garden:
r= \frac{45}{2 \pi}= \frac{45}{2 \cdot 3.14}=7.17 m
You might be interested in
6.7.37
posledela

Answer:

a. The start-up cost for the teenagers company is $50

b. The number of mugs the teenager must sell to break even are 5 mugs or 25 mugs

c. The number of mugs that will give maximum profit is 15 mugs

d. The profit if she sells 10 mugs is $30

Step-by-step explanation:

The given profit function for selling <em>x</em> number of mugs is presented as follows;

f(x) = -0.4·x² + 12·x - 50

a. The start-up cost in dollars is given by the value of the profit function at the start, where, x = 0, as follows;

Start-up cost = f(0) = -0.4×0² + 12×0 - 50 = -50

The negative sign represents amount put in the business

The start-up cost = (The initial) $50 put into the business.

b. The break even point is the point where, the revenue and costs are equal

At break even point; Revenue = Cost

∴ Profit, at break even point, f(x) = Revenue - Cost = 0

From the profit function, we get;

At the break even point, f(x) = 0 = -0.4·x² + 12·x - 50

Dividing by -0.4 gives;

0/(-0.4) = 0 = (-0.4·x² + 12·x - 50)/(-0.4) = x² - 30 + 125

0 = x² - 30 + 125

∴ (x - 25)·(x - 5) = 0

The number of mugs the teenager must sell before she breaks even, x = 5 mugs or x = 25 mugs.

c. From the general form of a quadratic equation,  which is; y = a··x² + b·x + c, the formula for the x-values at the maximum point is; x = -b/(2·a)

Comparing the profit function to the general form of the quadratic equation we have at the maximum point;

x = -12/(2×(-0.4)) = 15

Therefore, the number of mugs that will give maximum profit, x = 15 mugs.

d. The profit from selling 10 mugs, f(10) is given as follows;

f(10) = -0.4 × 10² + 12 × 10 - 50 = 30

The profit from selling 10 mugs, f(10) = $30

4 0
2 years ago
Yuri computes the mean and standard deviation for the sample data set 12, 14, 9, and 21. He finds the mean is 14. His steps for
Tpy6a [65]

Answer:

B. Yuri divided by n instead of n-1

Step-by-step explanation:

It was stated in the question that the dataset was sample dataset. For a sample dataset, the standard deviation is given by the formula,

σ = √ Σ (Xi - mean)²/(n - 1) where i = 1,2,3.....n

Since this is just a sample dataset and not the whole population, Yuri should have divided by n-1 instead of n.

3 0
3 years ago
10 POINTS!!!!! Which of the following statements is true about 63 and 20?
uysha [10]
The answer is: A) They are relatively prime. This is because both of them aren't divisible by any other number than 1. (or 0 if you really want to do that)
4 0
3 years ago
Read 2 more answers
15 POINTS
ziro4ka [17]

Answer:

whos mad im not mad you mad PERIOD

Step-by-step explanation:

4 0
2 years ago
Keith bought 5 new baseball trading cards to add to his collection. The next day his dog ate half of his collection. There are n
AysviL [449]

Answer:

85 cards

Step-by-step explanation:

8 0
3 years ago
Other questions:
  • In a reaction, six lithium atoms and 1 nitrogen molecule (N2) combine to form ____ lithium nitride particles.
    11·2 answers
  • A jar contains 133 pennies a bigger jar contains 1 2/7 times as many pennies what is the value of the pennies in the bigger jar
    11·1 answer
  • Solve: 5 (x+2) +2x<br> make sure to show your work
    6·2 answers
  • These are the means and standard deviation for samples of building heights in two different cities. Select the two true statemen
    13·1 answer
  • Give the coordinate of a point on the line whose equation in point slope form is y-(3)=1/2(x-4)
    7·1 answer
  • 2. From 12 teachers to 48 teachers​
    5·2 answers
  • Mmw-qdtk-wah come. ​
    11·2 answers
  • Find P(6) when p = 0.45
    15·1 answer
  • Renaldo earned $45 organizing the science section of the library. If
    9·1 answer
  • The dimensions of a rectangular prism are given in the net shown.
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!