All categories

4 years ago

The formula for the area of a circle is A = πr^2. Which equation shows the formula in terms of r?

1 answer:

6 0

$A=\pi r^2\\\\\pi r^2=A\ \ \ |\text{divide both sides by}\ \pi\\\\r^2=\dfrac{A}{\pi}\ \ \ \ |\text{square root both sides}\\\\r=\sqrt{\dfrac{A}{\pi}}$

You might be interested in

The absolute value of any complex number a + bi is the ___________ from (a, b) to (0, 0) in the complex plane.

Lyrx [107]

Answer:

distance

Step-by-step explanation:

Usually the absolute value of a complex number is called its magnitude. The squared magnitude is the algebraic quantity that's preferable to work with.

Let

$z = a+bi$

$|z|^2 = z^* z = zz^* = |a+bi|^2= (a+bi)(a-bi) = a^2 - i^2 b^2 = a^2+b^2$

$|a+bi| = \sqrt{a^2+b^2}$

That's the distance from the origin to (a,b)

3 0

3 years ago

Trail mix is sold in 1-pound bags. Mary will buy some trail mix And re-package it si that each f the 15 members of her hiking cl

mixer [17]

<span>Okay. so we need 15 2/5 pound bags. We'll calculate how many pounds that actually comes to. Our problem is 15x2/5. Using cross simplification, our problem becomes 3x2. 3x2=6. We need 6 pounds. That means that we must have 6 1-pound bags to fit with no leftovers. </span>

4 0

3 years ago

Read 2 more answers

How do u do 2x-y=17<br> X-y=10

aliina [53]

Another way to do it is
2x-y=17
x-y=10, x=10+y
substitute x=10+y for x in 2x-y=17 and get
2(10+y)-y=17
20+2y-y=17
20+y=17
subtract 20 from both sides
y=-3
subsitute y=-3 into equation x-y=10
x-(-3)=10
x+3=10
subtract 3 from both sides
x=7
or subsitute into 2x-y=17
2x-(-3)=17
2x+3=17
subtract 3 from both sides
2x=14
divide both sides by two
x=7

5 0

3 years ago

Read 2 more answers

At Denver International Airport, 86% of recent flights have arrived on time. A sample of 11 flights is studied. What is the vari

notsponge [240]

Answer:

$s^2=1.32$

Step-by-step explanation:

-This is a binomial probability distribution problem.

-Given that p=0.86 and n=11, the sample variance can be calculated using the formula:

$\sigma^2=np(1-p)$

#We substitute the given parameters in the formula to solve for variance:

$\sigma^2=np(1-p)\\\\\\=11\times 0.86(1-0.86)\\\\=1.324\approx1.32$

Hence, the sample variance is 1.32

5 0

3 years ago

2. What is the surface area of the triangular prism below?

grandymaker [24]

2 x Area of the triangular ends.
= 2 x ( 1/2 bh)
= 2 x (1/2 x 6.8 x 5.1)

2 x Area of rectangular sides
= 2 x lw
2 x (6.1 x 13)

Area of bottom
= lw
= 6.8 x 13

Now add all three results together for the surface area.

6 0

3 years ago