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3 years ago

3. 1/2 + 1 1/3 Please answer quick!!!!!!!!!!!!!!!!!! Step by step explanation with answer!

Mathematics

2 answers:

Law Incorporation [45]3 years ago

8 0

Answer: 1/2+11/3 = 4.1*6

Step-by-step explanation:

omeli [17]3 years ago

6 0

Answer:

1 5/6

Step-by-step explanation:

2 and 3 both have an LCM of 6, so in order to combine them you have to make the denominators 6. To do that, you multiply 1/2 by 3, and 1/3 by 2. When you do that, you get 3/6 and 1 2/6. When you add those, you get 1 5/6.

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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!

3 0

2 years ago

what is the correct way to write three hundred nine million, fifty-eight thousand, three hundred four?

oksian1 [2.3K]

-- sitting erect, shoulders back, chest out, head up, spine straight

-- pen held loosely and comfortably in your hand

-- forearm resting lightly on the table

-- digit characters formed neatly and clearly, with uniform size and slant

3 0 9, 0 5 8, 3 0 4 .

3 0

3 years ago

2+2 pls help btw 4 .....

Vsevolod [243]

Answer:

is it 22.

Step-by-step explanation:

is it?

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3 years ago

Read 2 more answers

Solve the system of equations by substitution. Show all work neatly on your work page. Checking your answer is wise. :) Plz need

vivado [14]

Answer: x = 1

3x + 4 = 7

subtract 4 from both sides

3x = 3

x = 3/3 = 1

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3 years ago

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Zielflug [23.3K]

They are alternate Exteror angles and internet but as for the question they would be corresponding angles

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3 years ago