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3 years ago

What is the quotient of 4/11 and 12/7?

Mathematics

2 answers:

IrinaK [193]3 years ago

7 0

Answer:

$\frac{4}{33}$ .

Step-by-step explanation:

Given : $\frac{4}{11}$ and $\frac{12}{7}$

To find : What is the quotient.

Solution : We have given $\frac{4}{11}$ and $\frac{12}{7}$ .

According to question :

Quotient of $\frac{4}{11}$ and $\frac{12}{7}$ = $\frac{4}{\frac{11}{\frac{12}{7}}}$ .

We can write

$\frac{4}{\frac{11}{\frac{12}{7}}}$ = $\frac{4}{11}*\frac{7}{12}$ .

$\frac{4}{11}*\frac{7}{12}$

$\frac{28}{132}$ .

On dividing both number by 4

$\frac{4}{33}$ .

Therefore, $\frac{4}{33}$ .

Juli2301 [7.4K]3 years ago

6 0

Answer: C. 7/33

Step-by-step explanation: First you have to multiply 4/11 to the reciprocal of 12/7. After that you have to simplify 28/132 to 7/33

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Three cubes of the same metal, whose edges are 6, 8, 10 cm are meltedand formed into a single cube. Find the diagonal of the sin

allochka39001 [22]

Answer: 12√2 cm

Step-by-step explanation:

Cube 1: V = 6³ = 216

Cube 2: V = 8³ = 512

Cube 3: V = 10³ = 1000

New Cube: V = 1728

1728 = s³

12 = s

So, each side of the new cube is 12 cm.

Use Pythagorean Theorem to find the length of the diagonal:

12² + 12² = diagonal²

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3 years ago

Find the Inverse of 3x^3-1=y

Anika [276]

$y = 3x^{3} - 1$
$x = 3y^{3} - 1$
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3 years ago

What is a formula for the nth term of the given sequence? 20,23, 26...

lord [1]

Answer:

17 + 3n

Step-by-step explanation:

20, 23,26 ..............

This is an arithmetic series

First term = a = 20

Common difference = second term - first term

d = 23 - 20 = 3

nth terms = a + (n-1)*d

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6 0

3 years ago

Find the area of the composite figure.

Roman55 [17]

Answer:

The Area of the composite figure would be 76.26 in^2

Step-by-step explanation:

According to the Figure Given:

Total Horizontal Distance = 14 in

Length = 6 in

To Find :

The Area of the composite figure

Solution:

Firstly we need to find the area of Rectangular part.

So We know that,

$\boxed{ \rm \: Area \: of \: Rectangle = Length×Breadth}$

Here, Length is 6 in but the breadth is unknown.

To Find out the breadth, we’ll use this formula:

$\boxed{\rm \: Breadth = total \: distance - Radius}$

According to the Figure, we can see one side of a rectangle and radius of the circle are common, hence,

$\longrightarrow\rm \: Length \: of \: the \: circle = Radius$

Since Length = 6 in ;

$\longrightarrow \rm \: 6 \: in = radius$

Hence Radius is 6 in.

So Substitute the value of Total distance and Radius:

Total Horizontal Distance= 14
Radius = 6

$\longrightarrow\rm \: Breadth = 14-6$

$\longrightarrow\rm \: Breadth = 8 \: in$

Hence, the Breadth is 8 in.

Then, Substitute the values of Length and Breadth in the formula of Rectangle :

Length = 6
Breadth = 8

$\longrightarrow\rm \: Area \: of \: Rectangle = 6 \times 8$

$\longrightarrow \rm \: Area \: of \: Rectangle = 48 \: in {}^{2}$

Then, We need to find the area of Quarter circle :

We know that,

$\boxed{\rm Area_{(Quarter \; Circle) } = \cfrac{\pi{r} {}^{2} }{4}}$

Now Substitute their values:

r = radius = 6
π = 3.14

$\longrightarrow\rm Area_{(Quarter \; Circle) } = \cfrac{3.14 \times 6 {}^{2} }{4}$

Solve it.

$\longrightarrow\rm Area_{(Quarter \; Circle) } = \cfrac{3.14 \times 36}{4}$

$\longrightarrow\rm Area_{(Quarter \; Circle) } = \cfrac{3.14 \times \cancel{{36} } \: ^{9} }{ \cancel4}$

$\longrightarrow\rm Area_{(Quarter \; Circle)} =3.14 \times 9$

$\longrightarrow\rm Area_{(Quarter \; Circle) } = 28.26 \: {in}^{2}$

Now we can Find out the total Area of composite figure:

We know that,

$\boxed{ \rm \: Area_{(Composite Figure)} =Area_{(rectangle)}+ Area_{ (Quarter Circle)}}$

So Substitute their values:

$\rm Area_{(rectangle)}$ = 48
$\rm Area_{(Quarter Circle)}$ = 28.26

$\longrightarrow \rm \: Area_{(Composite Figure)} =48 + 28 .26$

Solve it.

$\longrightarrow \rm \: Area_{(Composite Figure)} =\boxed{\tt 76.26 \:\rm in {}^{2}}$

Hence, the area of the composite figure would be 76.26 in² or 76.26 sq. in.

$\rule{225pt}{2pt}$

I hope this helps!

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2 years ago

What are three collinear points in the figure below?

algol [13]

Answer:

B. W,V,Z

Step-by-step explanation:

Collinear points are two more points in the same plane that lie in a straight line.

From the diagram, Z is the intersection of the two diagonals of quadrilateral VXWY.

The points V, Z and W lie along the same diagonal, hence they are collinear.

The point y, Z, and X also lie along the same diagonal, these are also collinear.

The correct choice is B

7 0

3 years ago