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3 years ago

Circumference and Area of this circle please

Mathematics

1 answer:

timofeeve [1]3 years ago

4 0

Answer:

circumference = 12.56637 or 12.57

area = 12.57

please give me brainliest

Step-by-step explanation:

circumference = 2 · π · 2 ≈ 12.56637

area = π · 22 ≈ 12.56637

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Expand the given power by using Pascal’s triangle. (9a - 10b)^6

xxMikexx [17]

Answer:

$531441a^6-3542940a^5b+9841500a^4b^2-14580000a^3b^3+12150000a^2b^4-5400000ab^5+1000000b^6$

Step-by-step explanation:

1 n=0

1 1 n=1

1 2 1 n=2

1 3 3 1 n=3

1 4 6 4 1 n=4

1 5 10 10 5 1 n=5

1 6 15 20 15 6 1 n=6

This is where n is the exponent in

$(x+y)^n$ .

$(x+y)^6=1x^6+6x^5y+15x^4y^2+20x^3y^3+15x^2y^4+6xy^5+1y^6$

Now we want to expand:

$(9a-10b)^6$ or we we can rewrite as $(9a+(-10b))^6$ .

Let's replace $x$ with $(9a)$ and $y$ with $(-10b)$ in the expansion:

$(x+y)^6=1x^6+6x^5y+15x^4y^2+20x^3y^3+15x^2y^4+6xy^5+1y^6$

$((9a)+(-10b))^6$

$=1(9a)^6+6(9a)^5(-10b)+15(9a)^4(-10b)^2+20(9a)^3(-10b)^3+15(9a)^2(-10b)^4+6(9a)(-10b)^5+1(-10b)^6$

Let's simplify a bit:

$=9^6a^6-60(9)^5a^5b+15(-10)^2(9)^4a^4b^2+20(9)^3(-10)^3a^3b^3+15(9)^2(-10)^4a^2b^4+6(9)(-10)^5ab^5+(-10)^6b^6$

$=531441a^6-3542940a^5b+9841500a^4b^2-14580000a^3b^3+12150000a^2b^4-5400000ab^5+1000000b^6$

8 0

3 years ago

If f(x) =2x and g(x) = cos(x) then g(f(π/2)) = ? Number 2 in picture

Romashka [77]

Answer:

(4) -1.

Step-by-step explanation:

First evaluate f(π/2) which is 2 * π/2 = π.

So g(f(π/2)) = g(π)

= cos π

= -1.

6 0

3 years ago

Can someone please help me with this?

madreJ [45]

Answer:

$2.664 * 10^{7}$

Step-by-step explanation:

6 0

2 years ago

Describe the diagram below using correct geometric names

bagirrra123 [75]

Angles PQT and RQS are vertical angles and angles PQR and TQS are vertical angles.

angle PQS and TQR are straight angles

angles TQP and PQR form a linear pair. they are also adjacent by default. the other angles have these same features.

that should bout do it. hope it helped!

7 0

3 years ago

A cone and a sphere both have a radius of 1. If you fill the cone with liquid, and pour it into the sphere, it fits exactly. Wha

PtichkaEL [24]

Answer and Step-by-step explanation:

First, solve for the volume of the sphere, then solve for the height of the cone using the volume of the sphere (which is said to be equal to the volume of the cone) and the radius given.

Volume formula of Sphere

V = $\frac{4}{3} \pi r^2$