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3 years ago

1/7 divided by what equals 14

1 answer:

8 0

Assume the number we are looking for in n
we want to know the value of n that makes 1/7 divided by n is 14

Transforming this to an equation:
(1/7) / n = 14
this means that:
1/7 = 14n
1 = 7 x 14n
1 = 98n
n = 1/98

Therefore:
1/7 divided by 1/98 will give us 14

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It is an irrational number

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3 years ago

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The length of a rectangle is 5 metres less than twice the breadth. If the perimeter is 50 meters,find the length and breadth

MAXImum [283]

As per the given question, it is stated that the length of a rectangle is 5 m less than twice the breadth.

Assumption : Let us assume the length as "l" and width as "b". So,

$\twoheadrightarrow \quad\sf{ Length =2(Width)-5}$

$\twoheadrightarrow \quad\sf{ \ell=(2b-5) \; m}$

Also, we are given that the perimeter of the rectangle is 50 m. Basically, we need to apply here the formula of perimeter of rectangle which will act as a linear equation here.

$\\ \twoheadrightarrow \quad\sf{ Perimeter_{(Rectangle)} = 2(\ell +b) } \\$

l denotes length
b denotes breadth

$\\ \twoheadrightarrow \quad\sf{50= 2(2b-5+b)} \\$

$\\ \twoheadrightarrow \quad\sf{50= 2(3b-5)} \\$

$\\ \twoheadrightarrow \quad\sf{50= 6b - 10} \\$

$\\ \twoheadrightarrow \quad\sf{50+10= 6b} \\$

$\\ \twoheadrightarrow \quad\sf{60= 6b} \\$

$\\ \twoheadrightarrow \quad\sf{\cancel{\dfrac{60}{6}}=b} \\$

$\\ \twoheadrightarrow \quad\underline{\bf{10\; m = Width }} \\$

Now, finding the length. According to the question,

$\twoheadrightarrow \quad\sf{ \ell=(2b-5) \; m}$

$\twoheadrightarrow \quad\sf{ \ell=2(10)-5\; m}$

$\twoheadrightarrow \quad\sf{ \ell=20-5\; m}$

$\\ \twoheadrightarrow \quad\underline{\bf{15\; m = Length }} \\$

Therefore, length and breadth of the rectangle is 15 m and 10 m. 

7 0

3 years ago

Identify the circumference of ⊙S in which A=64π ft^2. HELP ASAP!!

Vika [28.1K]

Answer:

C = 16π ft

Step-by-step explanation:

If we know the area

A = pi r^2

64 pi = pi r^2

Divide each side by pi

64 = r^2

Take the square root of each side

8 = r

The radius is 8

Now we can find the circumference

C = 2 *pi*r

C = 2*pi*8

C = 16pi

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3 years ago

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What is 3 In 3 - In 9 expressed as a single natural logarthm? in 3 In 6 In 18 In 27

topjm [15]

Step-by-step explanation:

$3 \: In \: 3 - In \: 9 \\ = 3 \: In \: 3 - In \: {3}^{2} \\ = 3 \: In \: 3 - 2In \: {3} \\ = (3 - 2)In \: 3 \\ = In \: 3 \\$

Thus first option is the correct answer.

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3 years ago

Point A is the incenter of △PQR. Find each measure

kenny6666 [7]

The value of each measure based on the incenter is illustrated below.

<h3>What is incenter?</h3>

The incenter of a triangle is the point of intersection of all the three interior angle bisectors of the triangle. This point is equidistant from the sides of a triangle.

Angle ARU = 40 degree

Length of AU = 20

Angle QPA = 35 degree

Since, AR is angle bisector of angle URK.

So, ∠ARU = ∠ARK = 40 degree

Since, incenter point is equidistant from the sides of a triangle.

So, AT = AU = AK = 20

Since, PA is angle bisector of angle QPU.

So, ∠QPA = ∠UPA

3x + 2 = 4x - 9

4x - 3x = 9 + 2

x = 11

Substituting value of x in angle 3x + 2

We get, ∠QPA = 3(11) + 2 = 35°

Learn more about incenter on:

brainly.com/question/1831482

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2 years ago