Change this radical to an algebraic expression with fractional exponents 3√a

A circular pen has an area of 64<img src="https://tex.z-dn.net/?f=%20%20%5Cpi%20" id="TexFormula1" title=" \pi " alt=" \pi " a

Allisa [31]

What we know:
shape is circular
Area=64π yr²
Area=πr²
circumference=2πr

In order to find circumference we need r=radius. We can use the area to find r by solving for r using substitution of the information we know above.

Area=πr²
64π=πr² substitution
64π/π=π/πr² multiplicative inverse
64=r²
√64=√r² properties of radicals
8=r We would get two solutions, a positive and negative one but we will only use the positive solution since radius is positive

Circumference=2πr
C=2π(8)=16π yards

7 0

3 years ago

Read 2 more answers

Can I have help with the question

sleet_krkn [62]

Answer:

Midpoint = (3.5, 4.5)

Perpendicular bisector = y = $\frac{7}{9}$ x + $\frac{16}{9}$

Step-by-step explanation:

[] We can solve this using the midpoint formula:

-> See attached

[] Plug-in our coordinates and solve:

$(\frac{7+0}{2} ,\frac{0+9}{2} )=(\frac{7}{2} ,\frac{9}{2} )=(3.5,4.5 )$

[] Now we will find the slope to solve for the perpendicular bisector.

-> We will use slope-intercept form, see attached

$\frac{9-0}{0-7}=\frac{9}{-7}$

-> The slopes of two perpendicular lines are negative reciprocals of each other, so $\frac{7}{9}$ will be the slope of or perpendicular bisector

-> Now we can solve for the equation by using y – y1 = m ( x – x1), were y1 and x1 are the coordinates of our midpoint

y - 4.5 = $\frac{7}{9}$ (x-3.5)

y - 4.5 = $\frac{7}{9}$ x- $\frac{49}{18}$

y = $\frac{7}{9}$ x- $\frac{49}{18}$ + 4.5

y = $\frac{7}{9}$ x + $\frac{16}{9}$

Have a nice day!

I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)

- Heather

6 0

2 years ago

What is the measure of EG?

IrinaVladis [17]

The first thing you should know in this case is that a circumference has a total measure in 360 degrees.
We have then that the formula to find EG in this case is:
EG + GF + FE = 360
We cleared EG:
EG = 360-GF-FE
We substitute the values:
EG = 360-83-66
EG = 211
Answer
EG = 211 degrees.

7 0

3 years ago

Alladin went grocery shopping for candy at Costco in Rego Park. He wants to buy the package of candy with the greatest percentag

Pavlova-9 [17]

We need to find what percentage represents the number of Hershey's Cookie Crème Candy Bars in each package, and then compare which one is better.

For package A.

It has 13 Hershey's Cookie Crème Candy Bars out of 25. To find which percentage is 13 out of 25 we do the following:

• Divide 100 by the total amount of candy 25, and multiply the result by 13:

$\frac{100}{25}\times13$

we get the following percentage:

$\frac{100}{25}\times13=4\times13=52$

Package A has 52% of Hershey's Cookie Crème Candy Bars.

For package B.

It has 11 Hershey's Cookie Crème Candy Bars out of 20. we do the same as before to find the percentage, only that this time, instead of dividing by 25, we divide 100 by 20, and intead of multiplying by 12, we multiply by 11: