quadrilateral ADCD Is the image of quadrilateral ABCD UNDER TRANSLATION

Answer:

A) 19.2 ft^2

B) 28.9 ft^3

Step-by-step explanation:

Thickness = 8 inches

Assuming the triangular prism is made up of an equilateral triangle hence all sides are equal

lets assume the side = 10 inches  

lets assume the thickness as the height of the prism = 8 inches

Assume length of the rectangle(l) = 5 feet

A) The surface area of the sandwich triangular prism

total surface area = bh + 2ls + lb

                             = 10*8 + 2(5*10) + ( 5 * 10 )

                             = 80 + 100 + 50 = 230 inches = 19.2 ft^2

B ) The volume of filing in cubic feet to the nearest tenth

V = [tex]\frac{1}{4} h \sqrt{-a^4 +2(ab)^2+2(ac)^2-b^4+2(bc)^2-c^4}[/tex]  ------- 1

where : a = b = c = 10 inches

h = 8 inches

input the given values into the equation 1 above

V= 346.41 inches ^3  =  28.9 ft^3

The constant of variation is the slope, which is the number before the x variable.

The answer is -2/3

Answer:

m< 3 = 76°, m< 3 = 104°, m< 3 = 76°,

Step-by-step explanation:

360°

m< 1 = m< 3 → 76° (76°*2 = 152°)

360° - 152° = 208°

208°/2 = 104°

m< 2 = m< 4 → 104°

Answer:

0.2686

Step-by-step explanation:

It's basically just 34 times 79 lol

Answer:

0.2686

Step-by-step explanation:

*the figure is shown in the attachment

Answer/Step-by-step explanation:

Since <XYZ and <YZX are said to be congruent, therefore, the side opposite to each of the angle are also equal. Therefore, ∆XYZ is an isosceles ∆.

Find the value of n by creating an equation to solve for n:

XY = (9n + 12) ft

XZ = (15n - 6) ft

XY = XZ (2 equal lengths of isosceles ∆)

9n + 12 = 15n - 6 (substitution)

Combine like terms

9n - 15n = - 12 - 6

-6n = -18

Divide both sides by -6

-6n/-6 = -18/-6

n = 3

Find the length of leg XY by substituting n = 3 into XY = (9n + 12) ft.

XY = (9(3) + 12) ft

XY = (27 + 12) ft

XY = 39 ft

Find the length of leg XZ by substituting n = 3 into XZ = (15n - 6) ft.

XZ = (15(3) - 6) ft

XZ = (45 - 6) ft

XZ = 39 ft

Answer:

1st box: 3

2nd box: 39

3rd box: 39

Have a great day, remember to wear a mask! :)

Answer:

830.53 in²

Step-by-step explanation:

To find the area of one semicircle, find the area of the full circle and divide it by 2:

Use the circle area formula, A = [tex]\pi[/tex]r²

Plug in 3.14 as pi, and plug in the radius:

A = [tex]\pi[/tex]r²

A = 3.14(23²)

A = 1661.06

Divide this by 2:

1661.06 / 2

= 830.53

So, the area of one semicircle is 830.53 in²

Answer:

850.53 in² is the answer

Answer:

Heya!!

here's your answer

3x^4 − 3x^3 − 3x^2 + 5x −1

Answer:

3 3/7

Step-by-step explanation:

8/1 divided by 2 1/3 = 8/1 x 3/7

8/1 x 3/7 = 24/7

24/7 = 3 3/7

Answer: No real solutions.

Step-by-step explanation:

Answer:

x = 2

Step-by-step explanation:

x = 4 is the equation of a vertical line parallel to the y- axis

A line parallel to it must also be a vertical line with equation

x = c ( c is a constant )

The only equation of this form is

x = 2 ← parallel to x = 4

Answer:

C.

That is the closest answer since 8 times 10 6 times gets you 8 million.

Step-by-step explanation:

Answer:

C. 8×10⁶

Step-by-step explanation:

8,406,000 to nearest million is 8,000,000

8,406,000 = 8.406 × 10⁶

8,000,000 = 8 × 10⁶

Answer:

Step-by-step explanation:

the answer is 52

Answer:

angle z = 52

Step-by-step explanation:

solve for t

t+58=2t-12

t+70=2t

70=t

plug in the value of t in t+58

(70)+58

=128

note that angle y and z make supplementary angles, so

180-128

=52

Answer:

7y=14x+3 is your answer

Answer:

3V/l divide h

Step-by-step explanation:

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

V = 1/3 lwh

The value of w is 3V/lh

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example:

2 + 3x + 4y = 7 is an expression.

3x + 5 = 4 is an expression.

We have,

V = 1/3 lwh

Multiply 3 on both sides.

3V = lwh

Divide both sides by lh.

3V / lh = w

w = 3V/lh

Thus,

V = 1/3 lwh

The value of w is 3V/lh

Learn more about expressions here:

https://brainly.com/question/3118662

#SPJ2

Answer:

here is a hint

Step-by-step explanation:

Understand that the graph of an equation in two variables is the set of all its solutions plotted in the coordinate plane, often forming a curve (which could be a line).

Compare slope of an equation and slope of a line on graph and compare y-intercepts.

In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.

Graph is a mathematical representation of a network and it describes the relationship between lines and points. A graph consists of some points and lines between them. The length of the lines and position of the points do not matter.

For linear equation,

Compare slope of an equation and slope of a line on graph and compare y-intercepts.

Understand that the graph of an equation in two variables is the set of all its solutions plotted in the coordinate plane, often forming a curve (which could be a line).

Therefore, compare slope of an equation and slope of a line on graph and compare y-intercepts.

To learn more about an equation visit:

https://brainly.com/question/14686792.

#SPJ2

Answer:

[tex]\boxed {x = \sqrt{3} - 3}[/tex]

[tex]\boxed {x = -\sqrt{3} - 3}[/tex]

Step-by-step explanation:

Solve for the value of [tex]x[/tex]:

[tex]x^2 + 6x + 6 = 0[/tex]

-When you use the quadratic formula ( [tex]\frac{-b\pm \sqrt{b^{2} - 4ac}}{2a}[/tex] ), it would give you two solutions. So, use the quadratic formula:

[tex]x = \frac{-6\pm \sqrt{6^{2} - 4 \times 6}}{2}[/tex]

-Simplify [tex]6[/tex] by the exponent [tex]2[/tex]:

[tex]x = \frac{-6\pm \sqrt{6^{2} - 4 \times 6}}{2}[/tex]

[tex]x = \frac{-6\pm \sqrt{36 - 4 \times 6}}{2}[/tex]

-Multiply both [tex]-4[/tex] and [tex]6[/tex]:

[tex]x = \frac{-6\pm \sqrt{36 - 4 \times 6}}{2}[/tex]

[tex]x = \frac{-6\pm \sqrt{36 - 24}}{2}[/tex]

-Add [tex]34[/tex] and [tex]-24[/tex]:

[tex]x = \frac{-6\pm \sqrt{36 - 24}}{2}[/tex]

[tex]x = \frac{-6\pm \sqrt{12}}{2}[/tex]

-Take the square root of [tex]12[/tex]:

[tex]x = \frac{-6\pm \sqrt{12}}{2}[/tex]

[tex]x = \frac{-6\pm 2\sqrt{3}}{2}[/tex]

-Now solve the equation when [tex]\pm[/tex] is plus, So, add [tex]-6[/tex] to [tex]2\sqrt{3}[/tex]:

[tex]x = \frac{-6\pm 2\sqrt{3}}{2}[/tex]

[tex]x = \frac{2\sqrt{3} - 6}{2}[/tex]

-Divide  [tex]-6 + 2\sqrt{3}[/tex] both sides by [tex]2[/tex]:

[tex]x = \frac{2\sqrt{3} - 6}{2}[/tex]

[tex]\boxed {x = \sqrt{3} - 3}[/tex] (Answer 1)

-Now solve the equation when [tex]\pm[/tex] is minus. So, Subtract [tex]2\sqrt{3}[/tex] from [tex]-6[/tex]:

[tex]x = \frac{-2\sqrt{3} - 6}{2}[/tex]

-Divide [tex]-2\sqrt{3} - 6[/tex] by [tex]2[/tex]:

[tex]x = \frac{-2\sqrt{3} - 6}{2}[/tex]

[tex]\boxed {x = -\sqrt{3} - 3}[/tex] (Answer 2)

Answer:

2x-6

Step-by-step explanation:

The first step is to distribute

The second step is to combine like terms and since its an expression you will not have a solution

Answer:

[tex]y=-3x-8[/tex]

Step-by-step explanation:

Answer:

61.2

Step-by-step explanation:

Answer:

$884.99

Step-by-step explanation:

Just took the quiz and this was the right answer. :)

Answer:

884.99

Step-by-step explanation:

Answer:

11 and 12

Step-by-step explanation:

x(x+1)=132

x^2+x=132

x^2+x-132=0

(x-11)(x+12)=0

x = 11 or x = -12

when x=11 ,

x+1=12

11*12=132

Answer:

Wouldn’t y be 4 and x be 1?

Answer:

Y = -1X + 5

Step-by-step explanation:

I just solved it, it was a long problem, I don't wanna talk you through it. I think I'm correct.

Hope this helps! Let me know!

Answer:

D

Step-by-step explanation:

You are given the two sides and the abgle inbetween.

Answer:

The hypotenuse is the side opposite the right angle, or defined as the longest side of a right-angled triangle,

Step-by-step explanation: