What is the circumference, in centimeters, of the circle? Use 3.14 for π. Enter your answer in the box.

Start with the formula for finding the area of a circle.

A=πr2

First, substitute the given information in the equation. You have the area and you know that pi is 3.14.

153.86=(3.14)r2

Next, divide the area by pi. This will help to get one step closer to figuring out the radius.

3.14)153.86¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯

Remember, when you divide decimals, to move the decimal two places in the divisor and the dividend.

314)15386¯¯¯¯¯¯¯¯¯¯¯¯¯¯

314)15386¯¯¯¯¯¯¯¯¯¯¯¯¯¯  49− 1256  ––––––––  2826  − 2826–––––––0

So far, the answer is 49, but that is not the radius because r2 is on the right side of the equal sign.

49=r2

Then, you need to figure out which number times itself is equal to 49. You can figure this out by finding the factors of 49.

7×7=49

Now, you know that the radius is 7 inches because 7×7=49.

The radius is 7 inches.

Finally, to figure out the diameter, which is twice the radius, multiply the radius by 2.

7×2=14

The diameter is 14 inches.

hope this helps.

The radius covered by the tower will be 20 miles.

The space occupied by any two-dimensional figure in a plane is called the area. The space occupied by the circle in a two-dimensional plane is called the area of the circle.

Given that a cell phone tower services about 1,256sq. miles. The area of the circle will be calculated by the formula,

Area = πr²

1256 = π x r²

r² = ( 1256 / π )

r² = 400

r = √400

r = 20 miles

Hence, the radius of the circle will be 20 miles.

To know more about an area follow

https://brainly.com/question/15528018

#SPJ2

Answer: both ways are acceptable

Step-by-step explanation: When writing equations of lines in this form,

we usually keep the "b" value or the constant term as a fraction.

However, if you prefer decimals, you can absolutely change

it to a decimal to visualize is better if you'd like, it's really your choice.

For example, if the equation of a line was y = -3/4x - 7/4, I could leave

it how it is or I could change the -7/4 to -1.75 giving me y = -3/4x - 1.75.

[tex]~~~~~~ \textit{Compound Interest Earned Amount} \\\\ A=P\left(1+\frac{r}{n}\right)^{nt} \quad \begin{cases} A=\textit{accumulated amount}\dotfill &\$15000\\ P=\textit{original amount deposited}\\ r=rate\to 6\%\to \frac{6}{100}\dotfill &0.06\\ n= \begin{array}{llll} \textit{times it compounds per year}\\ \textit{quarterly, thus four} \end{array}\dotfill &4\\ t=years\dotfill &4 \end{cases}[/tex]

[tex]15000=P\left(1+\frac{0.06}{4}\right)^{4\cdot 4}\implies 15000=P(1.015)^{16} \\\\\\ \cfrac{15000}{1.015^{16}}=P\implies 11820.47\approx P[/tex]

Answer:

245

Step-by-step explanation:

The lift can only handle 300lb then subtract the 55lb chair, and the lift will be able to hold a 345lb person in the chair.

Answer:

6y

------

y^2 -16

Step-by-step explanation:

Answer:

Step-by-step explanation:

= (3.26 + 9.75) d - 2.65

= 13.01 d - 2.65

The narrowest definition of the number -6 is, it is the exact opposite of 6.

A real quantity having a value less than zero is said to be negative numbers.

Given a number -6

It is exact opposite of number 6.

Hence, The narrowest definition of the number -6 is, it is the exact opposite of 6.

For more references on negative numbers, click;

https://brainly.com/question/258076

#SPJ2

Answer:

30k + 1 -1

Step-by-step explanation:

hope this helps

The number of hits of the baseball player when batting is the average of hit

The expected number of hits in a bat of 4 is 1

The given parameters are:

The battling average, p = 0.250

The number of bats, n = 4

The number of hits in the bat is the average of hit, and it is calculated as:

[tex]E(x) = np[/tex]

This gives

[tex]E(x) = 4 * 0.250[/tex]

Evaluate the product

[tex]E(x) = 1[/tex]

Hence, the expected number of hits in a bat of 4 is 1

Read more about expected number at:

https://brainly.com/question/15858152

Answer:

d = 3√3

Step-by-step explanation:

cos(ACB) = AC/BC

cos(30°) = 9/BC

BC = 6√3

AB² + AC² = BC²

d² + 9² = (6√3)²

d = 3√3

PLEASE MARK ME AS BRAINLIEST AND HAVE A NICE DAY :)

Answer: y

=

2

x

−

2

,  

(

−

2

,

7

)

Step-by-step explanation:

(

2

(

7

)

−

2

)

−

(

2

(

−

2

)

−

2

)

(

7

)

−

(

−

2

)

Answer:

+3

Step-by-step explanation:

Answer:

10

Step-by-step explanation:

after substituting in the values of each variable, the expression becomes..

3 + (-2) - (-9)

= 3 - 2 - (-9)

= 1 - (-9)

= 1 + 9 = 10

Answer:

Y= -5/2x +16

Step-by-step explanation:

To solve this, understand that (-8,4) is (x,y)

And Slope intercept form is y=mx +b

Since you have a possible x and y with - 8 and 4, sub that in making it 4=m(-8) + b

We also have the Slope (or M) which is -5/2, sub that in and get 4 = -5/2 (-8) + b

Do the multiplication and get 4= 40/2 +b

Simplify to 4= 20 + b

Then re-arrange to have the unknown (b) on one side and known on the other (when you move a number over the equal sign its sign, positive or negative, becomes the opposite)

B= 20-4

Subtract

B= 16

Now you know the b and can add it to your equation,

Y= -5/2x +16

Answer:

y = -5/2x - 16.

Step-by-step explanation:

First use the point-slope form of a line:

y - y1 = m(x - x1)

y - 4 = -5/2(x - (-8))

y - 4 = -5/2x - 40/2

y =  -5/2x - 20 + 4

y = -5/2x - 16.

Answer:

Step-by-step explanation:

Center: (7, -13)

Radius = 9

Answer:

We are given the table of a linear function

Since we have to find the equation of the function in the slope-intercept form,

we require the slope as well as the y-intercept

Finding the slope:

We know that slope of a line is Rise / Run

Since from the graph, we notice that the difference of 2 consecutive x-coordinates is 1

Hence, we have the x-coordinates at an interval of 1 and since the slope of a line is defined as the units ascended by the line after covering 1 unit in the x-coordinate

change in y = y[tex]_{n}[/tex] - y[tex]_{n-1}[/tex]       (where n is the number of row in the table)

change in y = 31 - 23

change in y = 8 = Rise

Run = 1 (Since the interval in the table is 1)

Slope = Rise / Run

Slope = 8 / 1

Slope  = 8

Finding the y-intercept:

We need the y-coordinate at x = 0

Going up from the third row, we notice that for every unit decreased in the x-coordinate , 8 units of the y-coordinate are decreased (since the slope =8)

In that case, the y-coordinate of every decreased x-coordinate will be 8 less than the last one

so we can say that the y-coordinate of x = 1 will be 8 less than 23 since x=1 is one less than x = 2

similarly, we can also say that the y-coordinate of x = 0 will be 8 less than (23-8) since x = 0 is one less than x = 1

Therefore, the y-coordinate at x =0

y = (23-8-8)

y-intercept  = 7

Making the Equation:

We need to write the equation in the form:

y = ax + b (where a is the slope of the line and b is the y-intercept)

Replacing the known values, we get

y = 8x + 7

Therefore, the equation of the formula shown in the table is y = 8x + 7

Answer:

Which expression is NOT equivalent to -20? O A (-80) 4 80 В — (0) ОО с (30) 80 ор 80 (-4 -

Step-by-step explanation:

Answer:

It will take three hours.

Step-by-step explanation:

210/70 = 3

Answer:

x = 13; y = 13; z = 18

Step-by-step explanation:

In a rhombus, opposite angles are congruent and consecutive angles are supplementary.

6x + 8 = 86

6x = 78

x = 13

7y + 3 + 86 = 180

7y + 89 = 180

7y = 91

y = 13

5z + 4 + 86 = 180

5z + 90 = 180

5z = 90

z = 18

Answer:

x=13

y=13

z=18

Step-by-step explanation:

got right on delta

Answer:

$35.09

Step-by-step explanation:

Answer:

12 pesos

Step-by-step explanation:

Answer:

Sergio added 2 instead of multiplying 2

Step-by-step explanation:

If Sergio's sister found 6 pennies that means that Sergio should've found 3 but instead of multiplying 2 he added 2.

Answer:

Step-by-step explanation:

answer: the original number is 62.

Given :

Units digits is thrice the tens digit

The digits interchange when - 36 is added

To find :

The number

Solution :

✯

Let the digits be -

   Units place as 3y

   Tens place as 10(y)

⇒ 10(y) + 3y

⇒ 10y + 3y

⇒ 13y --------- (Orignal Number)

✯

Let the digits be -

   Units place as y

   Tens place as 10(3y)

⇒ 10(3y) + y

⇒ 30y + y

⇒ 31y --------- (Number with reversed digits)

✯

The number gets reversed when 36 is added to it.

⇒ 13y + 36 = 31y

⇒ 13y - 31y = - 36

⇒ 18y = 36

⇒ y = 36/18

⇒ y = 2

✯

⇒ 13y

⇒ 13(2)

⇒ 26

✯

The units place should be thrice of the tens place,

⇒ 2 × 3 = 6

Units place is 6

Reversed digits are 62,

⇒ 26 + 36 = 62

⇒ 62 = 62

The Orignal Number is 62.

Answer:   y = 2x - 5

Step-by-step explanation:

slope- intercept form is always written as y = mx + b, where m = slope, and b is the y-intercept.

To find b, substitute the point and the slope into the equations, you will get:

y = mx + b

9 = 2(7) + b

9 = 14 + b

-5 = b

Plug in m and b into the equation, we get:

y = mx + b

y = 2x + (-5)

y = 2x - 5

[tex]y = - \frac{5}{6} x - \frac{8}{3} [/tex]

[tex]6 \times y = - \frac{5}{6} x\times 6 - \frac{8}{3} \times 6[/tex]

[tex]6y = - 5x - 16[/tex]

[tex]5x + 6y = - 16[/tex]

Answer:

Step-by-step explanation:

I am not sure why there is no interest rate given as it is common that there will be an interest charge for a monthly installment plan.

Assuming it is an interest-free plan, the remainder payment is for an amount of:

680000*(1 - 12.5%)

= 680000*(0.875)

= 595000 naira

Dividing that into 12 equal monthly, each monthly installment is

595000/12 = 49583.33

~49583 naira

Answer:

2/3.

Step-by-step explanation:

I believe to the best of my ability. Could you help me with my question? It is on my page and its the most recent one that I have posted. I need help on it ASAP. It is 8th grade level.

Answer:

3 ithinks so it lol haha

Answer: 12

Step-by-step explanation:

The are 4 1/4 in 1

3x4=12

[tex]\qquad \qquad\huge \underline{\boxed{\sf Anѕwєr}}[/tex]

To get the number of terms in an expression we have to add the like terms, and after that the different terms separated by mathematical operators (+ and -) are the required number of terms !

That is :

[tex]\qquad \sf  \dashrightarrow \: 55 + 14m - 2n + 3p[/tex]

here, since we don't have like terms, let's skip the first part.

So, total number of terms = 4

Answer:

No

Step-by-step explanation:

no on the first day he drove 40mph the second day he drove 33 mph