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
denis23 [38]
3 years ago
7

A dog is on a 5 ft leash staked to the ground. If he can rotate around the stake, forming a circle, what is the area of the gras

s he can cover? Use 3.14 for π.
Mathematics
1 answer:
Zanzabum3 years ago
7 0

Answer:

78.5 ft²

Step-by-step explanation:

In this situation, the dog's 5 ft leash is the radius of the circle that he forms.

So, the radius is 5.

Use the area formula, A = \pir². Plug in 5 as r, and 3.14 as \pi

A = \pir²

A = (3.14)(5²)

A = (3.14)(25)

A = 78.5

So, the area of the grass he can cover is 78.5 ft²

You might be interested in
Rewrite the expression $6j^2 - 4j 12$ in the form $c(j p)^2 q$, where $c$, $p$, and $q$ are constants. What is $\frac{q}{p}$
solniwko [45]

Rewrite the expression  6j^2 - 4j + 12$ in the form $c(j + p)^2 + q$, where $c$, $p$, and $q$ are constants. What is $\frac{q}{p}$

The ratio of \frac{q}{p}  = - 34

How to solve such questions?

Such Questions can be easily solved just by some Algebraic manipulations and simplifications. We just try to make our expression in the form which question asks us. This is the best method to solve such questions as it will definitely lead us to correct answers. One such method is completing the square method.

Completing the square is a method that is used for converting a quadratic expression of the form ax^{2} + bx + c to the vertex form

a(x - h)^{2} + k. The most common application of completing the square is in solving a quadratic equation. This can be done by rearranging the expression obtained after completing the square: a(x + m)^{2} + n, such that the left side is a perfect square trinomial

$6j^2 - 4j +12$

=  $6(j^2 - \frac{2}{3} j )+12$

= $6(j^2 - \frac{2}{3} j  +  \frac{1}{9}  )+\frac{102}{9}                   (Completing Square method)

=6( j- \frac{1}{3} )^{2}  +  \frac{34}{3}

On comparing with the given equation we get

p = - \frac{1}{3}     and q = \frac{34}{3}

∴ \frac{q}{p} = \frac{\frac{34}{3} }{\frac{-1}{3} }

= - 34

Learn more about completing the square method here :

brainly.com/question/26107616

#SPJ4

7 0
2 years ago
Eight friends are going bowling together if they each rent a pair of bowling shoes for $2.00, they each play two
Mnenie [13.5K]

2.00+1.50= 3.50.

3.50x8= 28.00

I'm assuming they each paid 41.00 dollars for two games,

41.00x8= 328.00

328.00+28.00= $356.00

Hope this is correct and/or it helps!

Sorry, didn't realize my mistake.

4 0
3 years ago
Read 2 more answers
1) A city has a population of 21,517 based on a census taken in 1998. If the
nevsk [136]

Answer:

B. 606,900

Step-by-step explanation:

Hope it helps

4 0
3 years ago
Read 2 more answers
Write the decimal represented by the shaded square.
UkoKoshka [18]

Answer:

40\100= 4\10=0.4

8 0
3 years ago
Read 2 more answers
the area of a rectangle is 2210 square feet if the length of the rectangle is 85 ft then what is the West​
Ratling [72]

Answer:

The area of the rectanglw is 26

3 0
3 years ago
Other questions:
  • Leala can write a 500- word essay in an hour. If she writes an essay in 10 minutes, approximately how many words do you think th
    6·1 answer
  • A and b are complementary angles. Za measures 44°.<br> What is the measure of b?
    12·2 answers
  • A particle moves along the curve below. y = √ 8 + x 3 As it reaches the point ( 1 , 3 ) , the y -coordinate is increasing at a r
    11·1 answer
  • Find the number that must be added to each expression to form a perfect square trinomial. Then write the trinomial as a binomial
    10·2 answers
  • Set up an equation and solve for the unknown number.
    8·1 answer
  • 25 POINTS AND BRAINLIEST 6. Consider the following figure.
    9·2 answers
  • Find the volume of this right rectangular prism. [Type your answer as a number.]<br> 1
    11·1 answer
  • S over 4= -3.2 find the value of s
    14·2 answers
  • Solve for x in the equation:log6-2logx=1.4​
    14·1 answer
  • In Example 2 we saw that Airbus A330-300s seat 330 passengers and cost $250 million each, Boeing 767-300ERs seat 270 passengers
    9·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!