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3 years ago

7

Find the area of the circle Pls help quick

1 answer:

tigry1 [53]3 years ago

7 0

Answer:

153.86.

Step-by-step explanation:

Formula for area of a circle: A= Pi R (R is radius) squared. First fill in the numbers: 3.14x7^2 Then Solve for the squared: 7^2=49, then finally multiply 49x3.14 which gets you to 153.86.

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If ln(2x=y)=x=1 then dy/dx =

umka21 [38]

N(2x+y) = x +1

Differentiate both sides, using the Chain Rule on the left side.
(1 / (2x + y)) * d(2x + y)/dx = 1
(1 / (2x + y)) * (2 + dy/dx) = 1

<span>Rearrange to isolate dy/dx.
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3 0

3 years ago

Two sides of a triangle measure 27 inches and 32 inches. Which could represent the length of the third side?

charle [14.2K]

Answer:

Step-by-step explanation:

The third side could have dimension x

32 - 27 < x < 32 + 27

5 < x < 59

There are a few special triangles

Equilateral triangle could have legs

27, 32, <u>27</u>

or

32, 27,<u> 32</u>

A right triangle could have the third side

√(27² + 32²) = <u>√1753</u> which is about<u> 41.87</u>

or

√(32² - 27²) = <u>√295</u> which is about <u>17.18</u>

Notice all these fit within the original limits specified.

3 0

2 years ago

Read 2 more answers

If mn = 16 and m^2 + n^2 = 68 then (m+n)^2 =

Dima020 [189]

Answer:

B. 100

Step-by-step explanation:

(m + n)^2

= m^2 + 2mn + n^2

Rearrange

(m^2 + n^2) + 2mn

Substitute

(68) + 2*16

= 68 + 32

= 100

7 0

2 years ago

find the Taylor Series for tan−1(x) based at 0. Give your answer using summation notation and give the largest open interval on

enyata [817]

Let $f(x)=\tan^{-1}x$ . Then $f'(x)=\frac1{1+x^2}$ . Note that $f(0)=0$ .

Recall that for $|x|$ , we have

$\displaystyle\frac1{1-x}=\sum_{n\ge0}x^n$

This means that for $|-x^2|=|x|^2$ , or $-1$ , we have

$\displaystyle f'(x)=\frac1{1+x^2}=\frac1{1-(-x^2)}=\sum_{n\ge0}(-x^2)^n=\sum_{n\ge0}(-1)^nx^{2n}$

Integrate the series to get

$f(x)=f(0)+\displaystyle\sum_{n\ge0}\frac{(-1)^n}{2n+1}x^{2n+1}$

$\implies\tan^{-1}x=\displaystyle\sum_{n\ge0}\frac{(-1)^n}{2n+1}x^{2n+1}$

6 0

3 years ago

James is 6 times older than his friend Zach . If Zach added 8 to his age and multiplied this sum by 3 . Write an equation that c

swat32

Given that:

James is 6 times older than his friend Zach, if Zach added 8 to his age and multiplied this sum by 3 .

To find:

The equation that can be used to solve for zach's age.

Solution:

Let the age of zach be Z.

Zach added 8 to his age = Z+8

And multiplied this sum by 3 = 3(Z+8)

James is 6 times older than his friend Zach = 6Z

Now,

$6Z=3(Z+8)$

$6Z-3Z=24$

$3Z=24$

Divide both sides by 3.

$Z=8$

Therefore, the required equation is $6Z=3(Z+8)$ is age of zach is 8 years.

5 0

3 years ago