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Amanda [17]
3 years ago
13

Find the equivalent percent for 2/4

Mathematics
2 answers:
frez [133]3 years ago
8 0

Answer:

50%

Step-by-step explanation:

one fourth of 100 is 25 and 25 times two is 50, 50/100 = 2/4 = 50%

Sedaia [141]3 years ago
8 0

The equivalent percent for 2/4 is 50%

<u>Solution:</u>

Need to determine equivalent percentage of \frac{2}{4}

To convert the fraction into percentage multiply it by 100 and solve it

\frac{2}{4} \times 100=\frac{200}{4}=50 \%

Other way is finding an equivalent rational number of given fraction such that denominator becomes 100, then numerator of equivalent number gives percentage.

In our case, on multiplying numerator and denominator by 25 we get,

\frac{2 \times 25}{4 \times 25}=\frac{50}{100}=50 \%

Any method can be used as per our convenience.

Hence equivalent percentage of 2/4 is 50%.

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A recursive rule for an arithmetic sequence is a1=4;an=an−1−3 . What is the explicit rule for this sequence? Enter your answer i
Westkost [7]

Answer:

The explicit rule for the arithmetic sequence is given by:

a_n = a_1+(n-1)d       ......[1]

where,

a_1 is the first term

n is the number of terms and

d is the common difference for two consecutive terms.

As per the statement:

A recursive rule for an arithmetic sequence is:

a_1 = 4

a_n = a_{n-1}-3

The recursive formula for the arithmetic sequence is given by:

a_n = a_{n-1}+d

then;

On comparing we get;

d = -3

Substitute the given values in [1] we have;

a_n = 4+(n-1)(-3)

⇒a_n = 4 -3n+3 = 7-3n

Therefore, the explicit rule for this sequence is, a_n = 7 -3n

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Three semicircles are placed in a rectangle, as shown below. The length of the rectangle is 30 m . Find the area of the shaded r
Anuta_ua [19.1K]

Answer:

The area of the shaded region is: 32.25m^2

Step-by-step explanation:

Given

See attachment for rectangle and semicircles

Required

The shaded region

We have:

l =30 --- length of the rectangle

This means that the diameters of the three circles add up to 30m.

So, the diameter of 1 is:

d = l/3

d = 30/3

d = 10

The area of one circle is:

A_1 = \pi * \frac{d^2}{8}

A_1 = 3.14 * \frac{10^2}{8}

A_1 = 3.14 * \frac{100}{8}

A_1 = 39.25m^2

The area of the three circles is:

A_2 = 3 * A_1

A_2 = 3 *39.25m^2

A_2 = 117.75m^2

The area of the rectangle is:

A_3 = 30 * r

Where r is the radius of the circle

And

r =d/2

r =10/2

r =5

So, we have:

A_3 = 30 * r

A_3 = 30 * 5

A_3 = 150

So, the shaded region is:

A_4 = A_3 - A_2

A_4 = 150 - 117.75

A_4 = 32.25m^2

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