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3 years ago

A basketball hoop has a circumference of 144 cm.what is its diameter

1 answer:

8 0

$Formula\ for\ circumference \ of\ circle:\ \ \ 2 \pi r\\\\
144= 2 \pi r\ \ \ \ | divide\ by\ 2 \pi\\\\
r=\frac{72}{\pi}cm\\\\diameter=2radius\\\\
diameter=2r=2*\frac{72}{\pi}=\boxed{\frac{144}{\pi}}$

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Find 6m if m = 5/13 Please help Leave your answer in fraction form please

gladu [14]

Step-by-step explanation:

or, 6m=5/13

or, m=5/13 ×6m

m=30/13

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3 years ago

What value should be added to the expression to create a perfect square? x^2 - 20x

boyakko [2]

To complete the square:
we take the coefficient ox "x" (which in this problem is -20)
we divide it by 2
square that number
then add it to both sides of the equation

-20 / 2 = -10
-10^2 = 100
then we add 100 to both sides of the equation:
x^2 -20x
x^2 -20x +100 = 100
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To get the roots of the equation, we take the square root of both sides:
(x -10) * (x-10) = 10
(x-10) = square root (10)
x-10 = 3.1622776602 
x1 = 13.1622776602 
and don't forget that square root of 10 also equals -3.1622776602 
x2 = 10 - 3.1622776602
x2 = 6.8377223398

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Step-by-step explanation:

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3 years ago

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Read 2 more answers

Find the maclaurin series for f(x) using the definition of a maclaurin series. [assume that f has a power series expansion. do n

Nady [450]

The equation of $f(x) = e^{-6x}$ by maclaurin series is $f(x)=\sum_{i=0}^{\infty} \frac{(-6.x)^{i} }{i!}$ .

The maclaurin series for f(x) is defined by the following formula:

$f(x) = \sum_{i=0}^{\infty} \frac{f^{(i)} (0)}{i!} .x^{i}$ --------------(1)

Where $f^{i}$ is the i - th derivative of the function

If f(x) = $e^{-6x}$ , then the formula of the i - th derivative of the function is:

$f^{i} =(-6)^{i} .e^{-6x}$ ----------------------(2)

Then,

$f^{i}(0) = (-6)^{i}$

Lastly, the equation of the trascendental function by Maclaurin series is: $f(x)=\sum_{i=0}^{\infty} \frac{(-6)^{i}.x^{i} }{i!} \\f(x)=\sum_{i=0}^{\infty} \frac{(-6.x)^{i} }{i!}$ ---------------(3)

Hence,

The equation of $f(x) = e^{-6x}$ by maclaurin series is $f(x)=\sum_{i=0}^{\infty} \frac{(-6.x)^{i} }{i!}$ .

Find out more information about maclaurin series here

brainly.com/question/24179531

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1 year ago