What is the surface area of the figure?

(28 + 7 + 6 + 3) X 1/2

madam [21]

Answer:

22

Step-by-step explanation:

28+7+6+3=44

44/1 x 1/2

22/1

22

7 0

3 years ago

A soccer player gets 2 points for a goal and 1 point for an assist. If the combined number of goals and assists that a player ha

irakobra [83]

The player has a total of 18 goals scored and 6 assists made.

<h3>Equation</h3>

Equation is an expression used to show the relationship between two or more numbers and variables.

Let x represent the number of goals scored and y represent the number of assists. Since the combined goals and assist is 24, hence:

x + y = 24 (1)

Also:

2x + y = 42 (2)

From equation 1 and 2:

x = 18, y = 6

The player has a total of 18 goals scored and 6 assists made.

Find out more on Equation at: brainly.com/question/2972832

3 0

3 years ago

Maths

tamaranim1 [39]

Answer:

12 : 1

Step-by-step explanation:

<u>The volume of a cylinder:</u>

V = πr²h, where r-radius, h-height

<u>New dimensions of the cake:</u>

r1 → 2r and h1→ 3h

<u>The volume of the bigger cake:</u>

V1 = π*(2r)²*(3h) = 12*πr²h = 12V
V1/V = 12

The ration of volumes is 12 : 1

5 0

4 years ago

Place the indicated product in the proper location on the grid. (4x^3+7y^3 z^ 4) ^2

ella [17]

Answer:

$16x^{6} +56x^{3}y^{3} z^{4} +49y^{6} z^{8} \\$

Step-by-step explanation:

To solve this type of problems first need to review some laws of exponents:

When you are multiplying the same base, you need to add the exponents.

$x^{2} +x^{8} = x^{2+8} = x^{10}$

When you are raising a base with power to another power, you should keep the base and multiply the exponents:

$(x^{2} y^{5})^3 = x^{2*3} y^{5*3} = x^{6} y^{15}$

Now for the expression $(4x^{3} + 7y^{3} z^{4} )^2$

Write the multiplying factors:

$(4x^{3} + 7y^{3} z^{4} )(4x^{3} + 7y^{3} z^{4} )$

Multiply the term $4x^{3}$

$(4x^{3} + 7y^{3} z^{4} )(4x^{3} + 7y^{3} z^{4} ) = 16x^{3+3} + 28x^3y^{3} z^{4}$

Then multiply the term $7y^{3}z^{4}$

$(4x^{3} + 7y^{3} z^{4} )(4x^{3} + 7y^{3} z^{4} ) = 16x^{3+3} + 28x^3y^{3} z^{4}\\\\+ 28x^3y^{3} z^{4} + 49y^{3+3} z^{4+4}$

Simplify the exponents:

$(4x^{3} + 7y^{3} z^{4} )(4x^{3} + 7y^{3} z^{4} ) = 16x^{6} + 28x^3y^{3} z^{4}\\\\+ 28x^3y^{3} z^{4} + 49y^{6} z^{8}$

Add like terms:

$= 16x^{6} + 56x^3y^{3} z^{4} + 49y^{6} z^{8}$

5 0

3 years ago

Complete the square to put he equation in convenient form for graphing. Then graph the conic section

Maslowich

First off, I think the equation should have a negative 9 in it originally and then you move it to the other side and it becomes positive.

You'll basically complete the square for two equations at the same time. Set it up like this:

(16x^2 + 96x) + (9y^2 - 18y) = 9

Divide everything by 16 to get the x^2 by itself, then divide everything by 9 to get y^2 by itself. You should end up with this.

(x^2 + 6x) + (y^2 - 2y) = 9/144

then complete the square by taking the second term of each polynomial, dividing by two, and squaring it.

For instance the first one will be 6/2 = 3^2 = 9

The next one will be 2/2 =1^2 = 1

Add these to numbers to the polynomials as well as to the other side of the equation to keep it equal. You should end up with this.

(x^2 + 6x+9) + (y^2 - 2y+1) = (9/144)+9+1

Then find a common denominator on the right side of the equals sign and add them all together to get:

(x^2 + 6x+9) + (y^2 - 2y+1) = 1449/144

Factor out the two polynomials

(x+3)^2 + (y-1)^2 = 1449/144

the center of the circle is (-3,1) according to the factored out polynomials and the radius will be the square root of the number on the right side of the equals sign = sqrt(1449/144) = 3.17

8 0

3 years ago