1g is equal to how many mg?

The perimeter of the square can be represented by the expression 36x+44 robin wants to write an equivalent expression for the pe

sukhopar [10]

Answer:

4 (9 x + 11) is an equivalent expression for the perimeter that shows the side length of the square is (9 x + 11).

Step-by-step explanation:

Here, given The perimeter of the square = (36 x+44)

Now,as we know :

PERIMETER OF SQUARE = 4 x ( SIDES)

Simplifying the perimeter expression.

Take 4 common out of the expression (36 x+44), we get:

(36 x+44) = 4 (9 x + 11)

⇒ Perimeter of the square = 4 x (9 x + 11)

⇒4 x ( SIDES) = 4 x (9 x + 11)

⇒ Each Side = (9 x + 11)

Hence, 4 x (9 x + 11) is an equivalent expression for the perimeter that shows the side length of the square is (9 x + 11).

5 0

3 years ago

What is the volume of the composite space figure to the nearest whole number?

Firdavs [7]

Check the picture below.

the volume of a rectangular prism is just the product of its 3 dimensions, so the volume of those two there is 4*9*6 and 3*6*5.

so the volume for the composite figure is just the sum of those two products.

6 0

3 years ago

A rancher plans to make 4 identical and adjacent rectangular pens against a barn (see figure below), each with an area of 100 m^

Tasya [4]

Answer:

10 by 10 meters

Step-by-step explanation:

In calculus terms, you can use the formula for the perimeter which is 2l + 2w, and the area l × w.

Then since the area is 100

l × w = 100. So w = 100/l

Then substitute this into the perimeter formula.

w = 100/l → 2l + 2(w) = 2l + 2(100/l) = 2l + 200/l.

Then take the derivative d/dx [take the derivative of a quantity with respect to x], by using a simpler method known as the power rule:

d/dx[x^n] = nx^n-1

so p = 2l + 200/l becomes p' = 2 - 200/l^2

Since the derivative of a constant is 0, to solve for l, set p' to 0

0 = 2 - 200/l^2 → -200/l^2 = -2 → 200/l^2 = 2 → 2l^2 = 200 → l^2 = 100 → l = √100, l = 10.

Now that we know the length is 10, We can substitute the length in the original equation to find the width.

l = 10 → w = 100/l → w = 100/10, w = 10.

Therefore the perimeter of each rectangular pen is 40, with a length of 10 and width of 10.

If you want to do this algebraicly, there are more steps involved

7 0

3 years ago

A rental company charges a flat fee of $200 plus $50 per day. Create a linear function to represent where f(x) is the total cost

VARVARA [1.3K]

Y=50x+200

Hope that helps!

7 0

4 years ago

36x^2-21x-30 factor

miv72 [106K]

Easy...

to even begin to factor..you must factor out a 3, to simplify your answer.

3(12 $x^{2}$ -7x-10)

Now, you can factor.

$3(12 x^{2} -7x-10)$

So..to find the answer...

12*-10=-120x
and
you would use -7x

What multiplies to -120..but adds to -7?

-15*8=-120
and
-15+8=-7

To find the answer, plug in what you know..

3(3x+2)(4x-5)

Thus, your answer.

8 0

4 years ago