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
alexandr1967 [171]
3 years ago
9

The area of a circle is 320 square meters. Find the radius of the circle. Then find the circumference. Round your answers to the

nearest tenth.
Mathematics
2 answers:
Ede4ka [16]3 years ago
7 0

Answer:

Radius = 10.1 m

Circumference = 63.4 m

Step-by-step explanation:

Area = 3.14 × r²

320 = 3.14 × r²

r² = 101.9108280255

r = 10.0950893025

Circumference = 2 × 3.14 × r

= 2 × 3.14 × 10.0950893025

= 63.3971608197

VashaNatasha [74]3 years ago
5 0

Answer:

10.1 m =r

C = 63.4 m

Step-by-step explanation:

We know the area of a circle is given by

A = pi r^2  where pi can be approximated by 3.14 and r is the radius

320 = 3.14 r^2

Divide each side by 3.14

320/3.14 = 3.14 r^2/3.14

101.910828 = r^2

Take the square root of each side

sqrt(101.910828) =sqrt( r^2)

10.0950893 = r

To the nearest tenth 10.1 =r

Now we want the circumference

C = 2*pi*r

C =2 *3.14 *10.1

C =63.428

To the nearest tenth

C = 63.4

You might be interested in
a positive number is 7 times another number if 3 is added to both the numbers then one of the new number becomes 5 by 2 times th
Neko [114]

Answer:

7 and 1

Step-by-step explanation:

Let the numbers be a and b.

<u>A positive number is 7 times another number:</u>

  • a = 7b

<u>If 3 is added to both the numbers then one of the new number becomes 5 by 2 times the other new number:</u>

  • a+3 = 5/2 × (b +3)

<u>To solve this we substitute </u><u>a</u><u> with </u><u>7b</u><u> in the second equation:</u>

  • 7b + 3 = 5/2 × (b +3)               ⇒ multiplying both sides by 2
  • 14b + 6 = 5b + 15                    ⇒ collecting like terms
  • 14b - 5b = 15 - 6
  • 9b = 9
  • b = 1                                        ⇒ solved for b

<u>Then, finding a:</u>

  • a= 7b
  • a=7*1
  • a= 7                                        ⇒ solved for a

<u>So the numbers are</u> 7 and 1

3 0
3 years ago
There are 4 boys and 2 girls from the seventh grade and 3 boys and 5 girls from the eighth grade on the soccer team. Coach Hart
tatuchka [14]

Answer:

The answer is a). 5/24.

Step-by-step explanation:

For the seventh graders there are 4 Boys + 2 Girls which totals 6 students.

  • The probability that a girl will be picked from the <em>seventh graders is 2/6</em>

For the eighth graders, there are 3 Boys + 5 Girls which totals 8 students

  • The probability that a girl will be picked from the <em>eighth graders is 5/8</em>

To find the<u> probability that both are girls</u>, we multiply the two fractions together:

  • 2/6 * 5/8 = 5/24
7 0
2 years ago
Solve for x.<br> 13(x-3) = 39<br> X=1<br> X=4<br> x=6<br> x=10
Valentin [98]
13 factored out is 13x - 39 add 39 to both sides it equals 13x=78 and 78 divided by 13 is 6 the anwser is x=6
7 0
2 years ago
Solve 2x^4/7 x 3/2x
Paha777 [63]
The answer is =3x^6/7
6 0
3 years ago
Which of the following is the solution to the following systems of inequalities? (picture included)
Ymorist [56]

Answer:

  C.  (see the attachment)

Step-by-step explanation:

Both inequalities include the "or equal to" case, so both boundary lines will be solid. That excludes choices A and D.

The first inequality is plotted the same way in all graphs, so we must look at the second inequality. The relationship of y and the comparison symbol is ...

  -y ≥ (something)

If we multiply by -1, we get ...

  y ≤ (something else)

This means the solution space will be <em>on or below (less than or equal to) the boundary line</em>. This is the shaded area in graph C. (Graph B shows shading <em>above</em> the line.)

___

<em>Further comment</em>

Since the boundary for the second inequality is fairly steep, "above" and "below" the line can be difficult to see. Rather, you can consider the relationship of x to the comparison symbol. For the second inequality, that is ...

  x ≥ (something)

indicating the solution space is <em>on or to the right of the boundary line</em>.

3 0
2 years ago
Other questions:
  • According to the History 202 syllabus, the first paper is worth 25% of the course grade, the second paper is worth 20% of the co
    9·1 answer
  • What is 25% off of $120.00 plus 7.8 sales tax
    10·1 answer
  • 20 POINTS PLEASE HELP!!!!!!!
    5·1 answer
  • Find −115+(−35) Write your answer as a fraction in simplest form.
    6·1 answer
  • The answer to all of these problems
    11·1 answer
  • The quotient of four times a number and nine in an algebraic expression
    5·1 answer
  • What is an outlier? In mean median mode and range, what is the outlier? how does it affect mean median mode and range?
    5·1 answer
  • Which of the following sets of numbers could represent the three sides of a right triangle?
    7·1 answer
  • Hi could some one please help me !!
    14·2 answers
  • Read the scenario. 1. The temperature at 6 A.M. was -5°F. By noon the temperature had risen by 5°F. What was the temperature at
    7·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!