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kirza4 [7]
2 years ago
6

Write down and simplify the product of these three factors: 2x, 3x and -4z

Mathematics
1 answer:
Lisa [10]2 years ago
8 0

2x,3x and -4z

-24x^2z is the answer

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SOMONE PLEASEE HELPPP MEEEEEEEE!!!
katen-ka-za [31]

Answer:

? = 36 degrees

Step-by-step explanation:

To find this measure, we use the appropriate trigonometric ratio

from the question, the angle faces the length 26 which represents the opposite

the length 44 faces the angle 90, which is the hypotenuse

The trigonometric ratio that connects both is the sine

The sine of an angle is the ratio of the opposite to the hypotenuse

Thus;

sine ? = 26/44

? = arc sine (26/44)

? = 36

5 0
3 years ago
A rectangular sheet of tin measures 20 inches by 12 inches. suppose you cut a square out of each corner and fold up the sides to
stich3 [128]

The volume of the box is maximized when a 6 x 6 inch or 10 x 10 inch square is cut from the corners of the rectangular sheet.

Volume of rectangle:

The volume of an object is the amount of space occupied by the object or shape, which is in three-dimensional space. It is usually measured in terms of cubic units.

The formula for Volume of the rectangle is

V = l x b x h

where

l represents the length

b represents the breadth

h represents the height.

Given,

A rectangular sheet of tin measures 20 inches by 12 inches. suppose you cut a square out of each corner and fold up the sides to make an open-topped box.

Here we need to find the volume of the box is maximized when a square is cut from the corners of the rectangular sheet.

Here we have the following values:

h = x

l = 20 - 2x

b = 12 - 2x.

Here we have to subtract two times of x value because in the question they said that we have to cut a square from it.

Apply the values on the volume formula then we get,

=> V = (20 - 2x) x (12 - 2x) x (x)

=> V = [240 - 40x - 24x + 4x²] x (x)

=> V = [240x - 64x² + 4x³]

Now differentiate:

=> V' =  240 - 64x + 4x²

Simplify and order the equation,

Then we get,

=> V' = x² - 16x + 60

When we factorize the equation then we get,

=> V' = x² - 6x - 10x + 60

Take the common term out of it,

=> V' = x (x-6) -10(x -6)

Therefore, the value of x is, either 6 or 10.

Now you need to look at your solutions.

At x=6, the volume is,

=> V = (20 - 2(6)) x (12 - 2(6)) x (6)

=> V = (20 - 12) x (12 - 12) x 6

=> V = 8  x 0 x 6

=> V = 0

our corner squares devour the entire piece of cardboard and you are left with zero volume; so that solution is a minimum.

Now at the value of x = 10,

The volume is

=> V = (20 - 2(10) x (12 - 2(10)) x (10)

=> V = (20 - 20) x (12 - 20) x 10

=> V = 0 x (-8) x 10

=> V = 0

So, in both cases we have 0 as minimum volume. So, we can take any one of the value to get the maximum out of it.

To know more about Volume of the Rectangle here.

brainly.com/question/13798973

#SPJ4

8 0
1 year ago
4 Write the decimal expansion for Choose the correct answer below. OA0.36 B. 0.3611 Oc. 0.63 OD. 0.6363.​
alexandr1967 [171]

Answer:

what? better explanation

8 0
3 years ago
hey girlies im bored and need friends add my discord fruitloops#5035 anyone is welcomed. Also enjoy the free points
Virty [35]

Answer:

ok

Step-by-step explanation:

ok and thank you for the free points

3 0
2 years ago
Read 2 more answers
Can somebody help me with my geometry?
ahrayia [7]
The slope of AC is -0.4

Proof:
In triangles ABC and DBE,
∠DBE is common to both triangles.
AB = 2DB (D is the midpoint of the interval AB)
Also, BC = 2BE (E is the midpoint of the interval BC)

Thus triangles ABC and DBE are similar in the ratio 2:1

Since, they are similar, ∠BDE must equal ∠BAC (corresponding angles in similar triangles)

If ∠BDE = ∠BAC, DE must be parallel to AC (corresponding angles are equal along parallel lines)
Thus, the slope of AC = the slope of DE
Thus, the slope of AC is -0.4

3 0
3 years ago
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