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3 years ago

The radius of a cylinder is 3x – 2 cm. The height of the cylinder is x +3 cm. What is the

Mathematics

1 answer:

VashaNatasha [74]3 years ago

8 0

Surface Area of the cylinder is 6x² + 83x - 58 cm²

Step-by-step explanation:

Step 1: Given surface area of the cylinder, A = 23r + 2rh. Here, r = (3x - 2) and h = (x + 3)

⇒ A = 23(3x - 2) + 2(3x - 2)(x + 3)

⇒ A = 69x - 46 + (6x² + 18x - 4x - 12)

⇒ A = 6x² + 83x - 58 cm²

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4.6w - 3 + 6.4x - 1.9y <br> What are the terms and coefficients?

Soloha48 [4]

For the algebraic expression 4.6w - 3 + 6.4x - 1.9y, the terms are 4.6w, - 3, 6.4x, and - 1.9y, and the coefficients are 4.6, 6.4, and -1.9 respectively.

Given: To find terms and coefficients in 4.6w - 3 + 6.4x - 1.9y

What are algebraic expressions?

Algebraic expressions are sequences or combinations of characters containing letters, numbers, variables, symbols, operands, etc.

They help in making a big problem short and to make a relationship between different parts of the problem.

What are the terms?

In algebraic expressions, terms are individual components involved in forming the algebraic expression except for the operators.

What are coefficients?

In algebraic expressions, coefficients are the numbers of letters that are associated with the variables.

Let's solve the given problem:

Given algebraic expression: 4.6w - 3 + 6.4x - 1.9y

Therefore the terms in the algebraic expression are: 4.6w, - 3, 6.4x, and - 1.9y

and the coefficients are: 4.6, 6.4, and -1.9 as w, x, and y are the variables or unknowns of the given algebraic expression.

Hence for the algebraic expression 4.6w - 3 + 6.4x - 1.9y, the terms are 4.6w, - 3, 6.4x, and - 1.9y, and the coefficients are 4.6, 6.4, and -1.9 respectively.

Know more about "terms and coefficients" here: brainly.com/question/13867708

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8 0

1 year ago

The length of each edge of a cube is x centimeters. If x is an integer, why is the volume of the cube not equal to 15m^3?

Nadusha1986 [10]

Suppose the length of each side of the cube is x, so the volume must be:

x^3.

If the volume is 15 cm^3, so the length must be cuberoot(15) which is not integer,. So, the volume of the cube with integer side never equal with 15 cm^3

4 0

3 years ago

Need help thanks!! Don't know how to solve problem

Nina [5.8K]

The measure of the angle formed by 2 chords that intersect inside the circle is 1/2<span> the sum of the chords' intercepted arcs.
</span>
(83 + x)/2 = 107
83 + x = 107 * 2
83 + x = 214
x = 214 - 83
x = 131°

4 0

4 years ago

onsider the following problem: A box with an open top is to be constructed from a square piece of cardboard, 3 ft wide, by cutti

Sholpan [36]

Answer:

V (max) = 2 ft³

and x side of the base is x = 0,5 feet

Step-by-step explanation: See annex ( two different cubes)

We have a square piece of cardboard of 3 inches wide

Let x be lenght of side to cut in each corner

Then the base of the (future cube) is 3 - 2x, and the area is

( 3 - 2x )²

And the height is x Then volume of the cube as a function of x is:

V(x) = ( 3 - 2x )² *x or V(x) = ( 9 + 4x² - 12x )*x

V(x) = 4x³ - 12x² + 9x

Taking derivatives on both sides of the equation

V´(x) = 12x² - 24x + 9

V´(x) = 0 12x² - 24x + 9 = 0 simplifying 4x² - 8x + 3 = 0

Second degree equation solving for x

x₁,₂ = [ 24 ± √( 576) - 432 /24

x₁,₂ = [24 ±√144 ]/24

x₁,₂ = ( 24 ± 12) /24 x₁ = 1.5 feet x₂ = 0,5 feet

Of these two values we have to dismiss x₁ because if x = 1.5 we don´t have a cube ( 0 height )

Then we take x = 0,5 feet

And

V (max) = (2)²*0,5 = 4*0,5

V (max) = 2 ft³

5 0

4 years ago

What is the slope of the line in the graph?

kondor19780726 [428]

Answer:

-5

Step-by-step explanation:

slope of a line is a number of line that describe both direction and the steepness of a line

slope is donated by letter m

6 0

3 years ago