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2 years ago

Find the perimeter of rectangle.

Mathematics

2 answers:

marishachu [46]2 years ago

8 0

Answer:

it depends on how big the rectangle is though...

Step-by-step explanation:

solniwko [45]2 years ago

5 0

Answer:

6x + 10

Step-by-step explanation:

Given,

Length ( l ) = 3x

Breadth ( b ) = 5

To find : Perimeter of the rectangle = ?

Formula : -

Perimeter of the rectangle = 2 ( l + b )

Perimeter of the rectangle

= 2 ( 3x + 5 )

= 2 ( 3x ) + 2 ( 5 )

= 6x + 10

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How many ml of 3 acetic acid must be mixed with 15 acetic acid to give 2500 ml of 10 % acetic acid

Umnica [9.8K]

Answer:

1041 ML

Step-by-step explanation:

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3 years ago

Mr. Brown is starting a company that manufactures herbal oil. He decides to produce 200 bottles during the first month. The fixe

KatRina [158]

The total cost is the sum of the fixed cost and variable cost. In the first month, that would be $4,642.00. Since breaking even is when the profits equal to the costs, Mr. Brown must have $9,284.00 at the end of the month. This amount is divided by 200 to get the price for each bottle that is to be sold.
Mr. Brown must sell each bottle for $46.42 to break even in the first month.

4 0

3 years ago

Trig proofs with Pythagorean Identities.

lorasvet [3.4K]

To prove:

$$\frac{1}{1-\cos x}-\frac{\cos x}{1+\cos x}=2 \cot ^{2} x+1$

Solution:

$$LHS = \frac{1}{1-\cos x}-\frac{\cos x}{1+\cos x}$

Multiply first term by $\frac{1+cos x}{1+cos x}$ and second term by $\frac{1-cos x}{1-cos x}$ .

$$= \frac{1(1+\cos x)}{(1-\cos x)(1+\cos x)}-\frac{\cos x(1-\cos x)}{(1+\cos x)(1-\cos x)}$

Using the identity: $(a-b)(a+b)=(a^2-b^2)$

$$= \frac{1+\cos x}{(1^2-\cos^2 x)}-\frac{\cos x-\cos^2 x}{(1^2-\cos^2 x)}$

Denominators are same, you can subtract the fractions.

$$= \frac{1+\cos x-\cos x+\cos^2 x}{(1^2-\cos^2 x)}$

Using the identity: $1-\cos ^{2}(x)=\sin ^{2}(x)$

$$= \frac{1+\cos^2 x}{\sin^2x}$

Using the identity: $1=\cos ^{2}(x)+\sin ^{2}(x)$

$$=\frac{\cos ^{2}x+\cos ^{2}x+\sin ^{2}x}{\sin ^{2}x}$

$$=\frac{\sin ^{2}x+2 \cos ^{2}x}{\sin ^{2}x}$ ------------ (1)

$RHS=2 \cot ^{2} x+1$

Using the identity: $\cot (x)=\frac{\cos (x)}{\sin (x)}$

$$=1+2\left(\frac{\cos x}{\sin x}\right)^{2}$

$$=1+2\frac{\cos^{2} x}{\sin^{2} x}$

$$=\frac{\sin^2 x + 2\cos^{2} x}{\sin^2 x}$ ------------ (2)

Equation (1) = Equation (2)

LHS = RHS

$$\frac{1}{1-\cos x}-\frac{\cos x}{1+\cos x}=2 \cot ^{2} x+1$

Hence proved.

5 0

4 years ago

How many tables that seat eight are required to provide places for 62 people at a banquet

Fittoniya [83]

Answer:

Step-by-step explanation:

62 divided by 8 is 7.75

you can't cut people so round it up and you get 8

8 0

3 years ago

Darius's parents sent money to the book fair to be split among the four children in his family. After they gave the money to the

eimsori [14]

Answer:

$46

Step-by-step explanation:

Let the amount of money Darius's parents sent to the book fair be represented as:

We are told that:

Darius's parents sent money to the book fair to be split among the four children in his family. After they gave the money to the cashier, she told each child they had $11.50 to spend.

The Equation is give as:

x = 4 × $11.50

x = $46

Therefore, the total amount of money Darius's parents sent to the book fair is $46

8 0

3 years ago