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4 years ago

What should be done to solve the following equation?

1 answer:

8 0

D: Add 9 to both sides of the equation
This is because when the number is positive or negative, you use the inverse operation to solve.

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he length of a rectangular garden is twice its width. The width of the garden is n feet. Which expression represents the perimet

kaheart [24]

Answer:

2(3n)

Step-by-step explanation:

so you need to get the length of two side first!

the first side is n and the second is 2 times bigger so it means the length of the second side is 2n

after you add them together you can get 3n, so just times 2 for the whole square!

so you can get 2(3n) now!

hope it'll help! good night!

3 0

3 years ago

2. Find the product (2x + 3)(3x - 2).

eimsori [14]

Answer:

6x² + 5x - 6

Step-by-step explanation:

Given

(2x + 3)(3x - 2)

Each term in the second factor is multiplied by each term in the first factor, that is

2x(3x - 2) + 3(3x - 2) ← distribute both parenthesis

= 6x² - 4x + 9x - 6 ← collect like terms

= 6x² + 5x - 6

6 0

3 years ago

Read 2 more answers

When the vat rate is 15% a customer pays 1610 to buy an electric iron .find the cost of the iron without vat (solve by video)

Schach [20]

Answer:

Cost without vat is 1,368.5

Step-by-step explanation:

Here, we want to know the cost of the iron without the vat.

From the question , we can see that 15% VAT brought the cost to 1610.

This means that the original cost without vat is 100% -15% = 85% of the total

Thus;

85/100 * 1610 is the cost without vat

And that is;

136850/100 = 1,368.5

5 0

4 years ago

Tan(x) = 2 solve for x.

lys-0071 [83]

Answer:

x = 63.43 , 243.43 degrees for 0 <x < 360.

Step-by-step explanation:

tan x = 2

The angle in the first quadrant whose tangent is 2 is x = 63.43 degrees.

If we consider the range 0 < x < 360 degrees tan x is positive in the third quadrant so x is also 180 + 63.43 = 243.43 degrees.

8 0

3 years ago

The perimeter of a particular square and the circumference of a particular circle are equal. What is the ratio of the area of th

Tasya [4]

Ratio of the area of the square to the area of the circle is $\frac{\pi}{4} : 1$

In terms of fraction $\frac{\pi}{4}$

Solution:

Given that perimeter of a particular square and the circumference of a particular circle are equal

To find: ratio of the area of the square to the area of the circle

Let the side of square be "a" and radius of circle be "r"

The perimeter of square is given as:

Perimeter of square = 4a

The circumference of circle is given as:

Circumference of circle = 2πr

From given,

perimeter of a particular square and the circumference of a particular circle are equal

perimeter of a particular square = circumference of a particular circle

$4a = 2 \pi r\\\\a = \frac{\pi r}{2}$

We need to find the ratio of the area of the square to the area of the circle.

We know that,

$\text{ Area of the square }= a^2\\\\\text{ Area of the circle }= \pi r^2$

Ratio of area of square to area of circle = $a^2 : \pi r^2$

Substituting the value of $a = \frac{\pi r}{2}$ in above ratio,

Ratio of area of square to area of circle = $(\frac{\pi r}{2})^2 : \pi r^2$

On reducing to lowest terms we get,

⇒ $\frac{\pi^2 r^2}{4} : \pi r^2 = \frac{\pi}{4} : 1$

In terms of fraction we get,

$\frac{\pi}{4} : 1 = \frac{\frac{\pi}{4}}{1} = \frac{\pi}{4}$

Thus ratio of the area of the square to the area of the circle is $\frac{\pi}{4} : 1$

3 0

4 years ago