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3 years ago

What is 0.5333333333 as a fraction

2 answers:

6 0

$x=0.5\overline{3}\\
10x=5.\overline{3}\\
100x=53.\overline{3}\\
100x-10x=53.\overline{3}-5.\overline{3}\\
90x=48\\
x=\dfrac{48}{90}=\dfrac{8}{15}$

bija089 [108]3 years ago

3 0

Well Calculate the sum of 1/2 + 3*sum(n=2 to infinity) [ 1/10^n ] = 8/15 The answer would be 8/15.I hope this answer is right!

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HELP QUICKKKKKKK

tangare [24]

Answer:

304

Step-by-step explanation:

8 x 13 = 104

+200

304

5 0

3 years ago

Read 2 more answers

The radius of a right circular cylinder is increasing at the rate of 7 in./sec, while the height is decreasing at the rate of 6

Arlecino [84]

Answer:

$\approx \bold{6544\ in^3/sec}$

Step-by-step explanation:

Given:

Rate of change of radius of cylinder:

$\dfrac{dr}{dt} = +7\ in/sec$

(This is increasing rate so positive)

Rate of change of height of cylinder:

$\dfrac{dh}{dt} = -6\ in/sec$

(This is decreasing rate so negative)

To find:

Rate of change of volume when r = 20 inches and h = 16 inches.

Solution:

First of all, let us have a look at the formula for Volume:

$V = \pi r^2h$

Differentiating it w.r.to 't':

$\dfrac{dV}{dt} = \dfrac{d}{dt}(\pi r^2h)$

Let us have a look at the formula:

$1.\ \dfrac{d}{dx} (C.f(x)) = C\dfrac{d(f(x))}{dx} \ \ \ (\text{C is a constant})\\2.\ \dfrac{d}{dx} (f(x).g(x)) = f(x)\dfrac{d}{dx} (g(x))+g(x)\dfrac{d}{dx} (f(x))$

$3.\ \dfrac{dx^n}{dx} = nx^{n-1}$

Applying the two formula for the above differentiation:

$\Rightarrow \dfrac{dV}{dt} = \pi\dfrac{d}{dt}( r^2h)\\\Rightarrow \dfrac{dV}{dt} = \pi h\dfrac{d }{dt}( r^2)+\pi r^2\dfrac{dh }{dt}\\\Rightarrow \dfrac{dV}{dt} = \pi h\times 2r \dfrac{dr }{dt}+\pi r^2\dfrac{dh }{dt}$

Now, putting the values:

$\Rightarrow \dfrac{dV}{dt} = \pi \times 16\times 2\times 20 \times 7+\pi\times 20^2\times (-6)\\\Rightarrow \dfrac{dV}{dt} = 22 \times 16\times 2\times 20 +3.14\times 400\times (-6)\\\Rightarrow \dfrac{dV}{dt} = 14080 -7536\\\Rightarrow \dfrac{dV}{dt} \approx \bold{6544\ in^3/sec}$

So, the answer is: $\approx \bold{6544\ in^3/sec}$

3 0

3 years ago

Okay, so renav86766 keeps getting warned for no reason.

frez [133]

Answer:

1/2 is the simplified from of 50/100 so it is equivalent

Step-by-step explanation:

6 0

3 years ago

What is the measure of ∠ABC

astraxan [27]

Answer:

Step-by-step explanation:

The measure of the chord- chord angle ABC is half the sum of the arcs intercepted by the angle and its vertical angle, that is

∠ ABC = 0.5( 82 + 44)° = 0.5 × 126° = 63° → B

4 0

3 years ago

How do i find the answer of this math question or problem f(x) = 4x − 9?

Mademuasel [1]

Answer:

x = 9/4

Step-by-step explanation:

f(x) = 4x - 9

(first substitute f(x) with 0)

0 = 4× - 9

(Move four)

-4x = -9

=> x = -9/-4

= 9/4

6 0

2 years ago