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3 years ago

Write the fraction in simplest form 7/28

Mathematics

2 answers:

alexdok [17]3 years ago

6 0

1/4

Because you have to see how many times 7 can fit into 28. Which is 4 times because 7 times 4 equals 28.

Orlov [11]3 years ago

5 0

Answer:

1/4

Step-by-step explanation:

7 goes into 7 once

7 goes into 28 four times

1/4

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What is the difference between gcf (greatest common factor) and lcm (least common multiple)?

WARRIOR [948]

The GCF is based upon what integer divides evenly into two numbers; the LCM is based upon what integer two numbers share in a list of multiples. The GCF must be a prime number; the LCM must be a composite number.

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3 years ago

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The diameter of a cylinder is 4 centimeters. The height is 12 centimeters. Using 3.14 for pi, what is the volume of the cylinder

erica [24]

Answer:

V = 150.72 cm³.

Step-by-step explanation:

First, get the volume of a cylinder.

V = πr²h

Where:

π = 3.14 (given)

r = radius (half of diameter, or 2)

h = height (12)

Knowing this, substitute the known values.

V = πr²h

V = (3.14)(2²)(12)

Square 2.

V = (3.14)(4)(12)

Multiply 3.14 and 4.

V = (12.56)(12)
Multiply 12.56 and 12.

V = 150.72.

Since it is already rounded to the nearest hundredth, that is your answer.

7 0

2 years ago

How can the Pythagorean theorem be used to help classify triangles

kompoz [17]

Answer:

We can use the Pythagorean Theorem to help determine if a triangle is a right triangle, if it is acute, or if it is obtuse. ... Conversely, if \begin{align*}a^2 + b^2 < c^2\end{align*}, then lengths \begin{align*}a, \ b\end{align*}, and \begin{align*}c\end{align*} make up the sides of an obtuse triangle.

Step-by-step explanation:

Mark Brainliest Pls And Have a good day

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4 years ago

A student worked out the following problem to find

polet [3.4K]

We have that

y=x²+3x-5
y=4x+1

using a graph tool
see the attached figure

the solution are the points
(-2,-7)
(3,13)

the solution obtained by the student
(-2,0)
(3,0)
is incorrect because the values of the coordinate y are incorrect
the values of x are correct
x1=-2
x2=3

with those values of x obtained, the student had to substitute it in any of the two equations to obtain the value of y
so
for x=3
y=4x+1------> 4*(3)+1-----> y=13

for x=-2
y=4x+1------> 4*(-2)+1-----> y=-7

7 0

4 years ago

Give the number to which the Fourier series converges at a point of discontinuity of f.

quester [9]

Answer:

The Fourier series of f(x) converges to 3 at the points x= π+2kπ, where k is an integer.

Step-by-step explanation:

First, recall that the function f(x) is extended 2π periodic to the whole real line, in order to obtain a valid Fourier expansion. Remember that a Fourier series is formed by a sines and cosines, which are 2π-periodic.

So, the 2π-periodic expansion of f(x) is discontinuous at the points π+2kπ, in particular π and -π. Check the attached figure to a better understanding.

Now, the Dirichlet theorem on the convergence of a Fourier series tells us that the series converges to the function at the points of continuity, and at points of discontinuity the sum of the series is

$\frac{f(x_0+)+f(x_0-)}{2}$ .

Here we understand the notation $f(x+)$ and $f(x-)$ as

$f(x_0+) = \lim_{x\rightarrow x_0}f(x), x>x_0$

and

$f(x_0-) = \lim_{x\rightarrow x_0}f(x), x$ .

In this particular case

$f(\pi-) = \lim_{x\rightarrow \pi}(3-2x) = 3-2\pi, x$ .

For the limit $f(\pi+) = \lim_{x\rightarrow \pi}(3-2x)$ , with $x>\pi$ recall that our function is 2π-periodic, so the values of f near π, with x>π are the same when x is near -π and x>-π. Again, check the attached figure. So,

$f(\pi+) = \lim_{x\rightarrow \pi}(3-2x) = 3+2\pi, x$ .

Thus,

$\frac{f(\pi+)+f(\pi-)}{2} = \frac{3+2\pi +3-2\pi}{2} = \frac{6}{2} =3$ .

Note: In the attached figure we only have drawn three repetitions of the 2π-periodic extension of $f$ , recall that the extension is ad infinitum. Also, the points drawn in the dotted lines are the sum of the series at the points of discontinuity.

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3 years ago