How to find the nth term ?

Aleks [24]

Use PEMDAS ( Parenthesis, Exponents, Multiplication, Division, addition, subtraction ),
and you should get:
-112.088889

Hope this helps!

7 0

2 years ago

Help me solve it please

snow_tiger [21]

Answer:

$\fbox{\begin{minipage}{5.8 em}x =5.97 cm\end{minipage}}$

Step-by-step explanation:

(1) As definition, the area ( $A$ ) of a circle is calculated by:

$A = \pi$ x $r^{2}$ with $r$ is radius of circle.

(2) The relation between radius ( $r$ ) and diameter ( $d_{1}$ ) of a circle is:

$d_{1}$ = 2 x $r$

(3) Applying the Pythagorean theorem for a square with sides of length $x$ ,

the relation between side $x$ and diagonal $d_{2}$ is:

$x^{2} +x^{2} = d^{2} \\or\\2x^{2} = d^{2}$

=> The diagonal ( $d_{2}$ ) of that square is calculated by:

$d_{2}$ = $x\sqrt{2}$

(4) The square fits exactly inside a circle, with each of its vertices being on the circumference of the circle.

Applying the theorem of inscribed angle in a circle, the measure of arc BD is twice as the measure of inscribed angle BAD.

In other words, the measure of arc AC = 2 x 90 = 180 deg, or half of circle.

It means that the diagonal BD is coincide with a diameter of circle.

=> $d_{1} = d_{2}$

or $2$ x $r$ = $x\sqrt{2}$

or $r$ = $x\frac{\sqrt{2} }{2}$

Substitute $r$ back into original formula used for calculating the area of circle:

=> A = $\pi$ x $(x\frac{\sqrt{2}}{2})^{2}$ = $\pi$ x $\frac{x^{2}}{2}$

=> $x^{2} = A$ x $\frac{2}{\pi }$

=> $x = \sqrt{A}$ x $\sqrt{\frac{2}{\pi } }$ = $\sqrt{56}$ x $\sqrt{\frac{2}{\pi } }$ = 5.97 cm

Hope this helps!

:)

4 0

3 years ago

Find the x intercept and the y intercept of the graph of the equation <br> 2x+4y=8

maksim [4K]

Answer:

x-intercept: 4

y-intercept: 2

Step-by-step explanation:

finding the x-intercept:

first, substitute y = 0.

2x + 4 x 0 = 8

then, remove the 0.

2x + 0 = 8

then, divide both sides. 2x = 8

so, x = 4.

finding the y-intercept:

first, substitute x = 0.

then, solve.

2 x 0 + 4y = 8

so, y = 2.

3 0

2 years ago

What kind of solution is -4x-4=-7(x+4) ?

natima [27]

~ Simplifying

-4x + -4 = -7(x + 4)

~ Reorder the terms:

-4 + -4x = -7(x + 4)

~ Reorder the terms:

-4 + -4x = -7(4 + x)

-4 + -4x = (4 * -7 + x * -7)

-4 + -4x = (-28 + -7x)

~ Solving

-4 + -4x = -28 + -7x

~ Solving for variable 'x'.

~ Move all terms containing x to the left, all other terms to the right.

~ Add '7x' to each side of the equation.

-4 + -4x + 7x = -28 + -7x + 7x

~ Combine like terms: -4x + 7x = 3x

-4 + 3x = -28 + -7x + 7x

~ Combine like terms: -7x + 7x = 0

-4 + 3x = -28 + 0

-4 + 3x = -28

~ Add '4' to each side of the equation.

-4 + 4 + 3x = -28 + 4

~ Combine like terms: -4 + 4 = 0

0 + 3x = -28 + 4

3x = -28 + 4

~ Combine like terms: -28 + 4 = -24

3x = -24

~ Divide each side by '3'.

x = -8

~ Simplifying

x = -8

8 0

2 years ago

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PLS HELPP!!

Sphinxa [80]

Answer:

i dont know

Step-by-step explanation:

srry wish i could help you

5 0

2 years ago

Read 2 more answers