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3 years ago

1 r 2 (the symbol is pi) is the formula to find the area of a

Mathematics

2 answers:

katrin [286]3 years ago

4 0

The answer is d. circle

vaieri [72.5K]3 years ago

3 0

Answer:

d: circle

Step-by-step explanation:

The area of a circle is pi times the radius squared (A = π r²). Learn how to use this formula to find the area of a circle when given the diameter.

You might be interested in

What is an algebraic expression for p divided by 3 plus 2.

Virty [35]

It's p/3+2 = 1/5. thats the answer

7 0

3 years ago

Write a polynomial function with the given zeros x=-1,-1,6

damaskus [11]

Hello from MrBillDoesMath!

Answer:

x^3 - 6 x^2 - x + 6

Discussion:

The polynomial is

(x-1) (x - (-1)) (x-6) =

(x-1)(x+1)(x-6) = => as (x-1)(x+1) = x^2 - 1

(x^2-1)(x-6) =

x^2(x) - 6 x^2 - 1x + 6 =

x^3 - 6 x^2 - x + 6

Thank you,

MrB

4 0

4 years ago

Alessandro currently has $2,400 in his savings account. He saves $250 per month. Bea currently has $1,750 in her account. She sa

Flauer [41]

Bea has $550 more money than Alessandro after 12 months.
Explanation:
So let start with writing the equation for Alessandro money. So we know that the current amount in his/her bank account has $2,400 and she saves $250 per month. So the equation that best fit these terms is:
y
=
250
x
+
2
,
400
Bea has $1,750 in his/her bank account and saves $350 per month. So the equation that best fit these terms is:
y
=
350
x
+
1
,
750
So for x for both of these equations is 12. So let plug the number in
Alessandro:
y
=
250
(
12
)
+
2
,
400

y
=
3000
+
2400

y
=
$
5400
after 12 months
Bea:
y
=
350
(
12
)
+
1750

y
=
4200
+
1750

y
=
$
5950
after 12 months
So subtracting $5950 and 5400 gives us a $550

hope this helps :p

7 0

3 years ago

The formula T= 2pi sqrt(L/32) relates the time, T, in seconds for a pendulum with the length, L, in feet, to make one full swing

tester [92]

The length of pendulum is 2.485 feet

<h3>Solution:</h3>

Given that,

The formula T= 2pi sqrt(L/32) relates the time, T, in seconds for a pendulum with the length, L, in feet, to make one full swing back and forth

Therefore, the given formula is:

$T=2\pi \sqrt{\frac{L}{32} }$

We have to find the length of pendulum that makes one full swing in 1.75 seconds

So the modify the given equation to find "L"

$T=2\pi \sqrt{\frac{L}{32} }\\\\ \sqrt{\frac{L}{32} }=\frac{T}{2 \pi}\\\\\text{Taking square root on both sides }\\\\\frac{L}{32} = \frac{T^2}{4 \pi^2}\\\\L = \frac{T^2}{4 \pi^2} \times 32\\\\L = \frac{T^2}{\pi^2 } \times 8$

Substitute T = 1.75 seconds and $\pi = 3.14$

$L = \frac{1.75^2}{3.14 \times 3.14} \times 8\\\\L = \frac{3.0625}{9.8596} \times 8\\\\L = 2.485$

Thus length of pendulum is 2.485 feet approximately

7 0

4 years ago

Find the volume V obtained by rotating the region bounded by the curves about the given axis.

BartSMP [9]

Using the disk method, the volume is given by the integral

$\displaystyle \pi \int_{\pi/2}^\pi (9\sin(x))^2\,\mathrm dx = 81\pi \int_{\pi/2}^\pi \sin^2(x)\,\mathrm dx$

That is, each disk has a radius of y = 9 sin(x) and hence area = π (9 sin(x))². Add up infinitely many such disks by integrating. Then the volume is

$\displaystyle 81\pi \int_{\pi/2}^\pi \sin^2(x)\,\mathrm dx = \frac{81\pi}2 \int_{\pi/2}^\pi (1-\cos(2x))\,\mathrm dx \\\\ =\frac{81\pi}2 \left(x-\frac{\sin(2x)}2\right)\bigg|_{\pi/2}^\pi \\\\ = \frac{81\pi}2 \left( \left(\pi-\frac{\sin(2\pi)}2\right) - \left(\frac\pi2 - \frac{\sin(\pi)}2\right) \right) \\\\ = \boxed{\frac{81\pi^2}4}$

8 0

3 years ago