Basic geometry Episode 8

Tiffany wants to buy a sweater with a selling price of $187. Today, the sweater is on sale for 31% off. What is the markdown? Wh

Akimi4 [234]

The sale price would be $129.03

7 0

3 years ago

Read 2 more answers

Select the correct answer.

torisob [31]

Answer:

C. - f(x) = f( - x)

Step-by-step explanation:

Property of the odd function is:

- f(x) = f( - x)

Same applies to the given function:

f(x) = -2x⁵ + x³ - 7x
f(- x) = -2(-x)⁵ + (- x)³ - 7(-x) = 2x⁵ - x³ + 7x = - (2x⁵ + x³ - 7x) = - f(x)

4 0

2 years ago

What is the surface area of the prism?

Sever21 [200]

Answer:

Question 3: 582 ft²

Question 4: 348 in²

Step-by-step Explanation:

Question 3:

Consider the solid shape given as being consisting of two rectangular prism. With careful examination, you'd observe that the offer one beneath has dimensions, $l, w, h, as 15, 4, 9$

The second one has $l, w, h, as 6, 4, 6$

Surface area of the bigger rectangular prism = total surface area - area of the surface that is joined to the smaller rectangular prism.

Area of the face joined to the smaller rectangular prism = 4*6 = 24 ft²

Surface area of the bigger rectangular prism = $2(wl + hl + hw) - 24$

$2(4*15 + 9*15 + 9*4) - 24$

$462 - 24$

Surface area of the bigger rectangular prism = 438 ft²

Surface area of the smaller rectangular prism = total surface area of rectangular prism - area of the surface that is joined to the bigger rectangular prism.

= $2(wl + hl + hw) - 24$

$= 2(4*6 + 6*6 + 6*4) - 24$

$= 168 - 24 = 144 ft^2$

Surface area of the solid = 438 + 144 = 582 ft²

Question 4:

Surface area of the triangular prism is given as: 2(B.A) + P*L

Where,

B.A = area of 1 triangular base = ½*height of the triangle*base of the traingle

B.A = ½*6*16 = 3*16 = 48 in²

P = perimeter of 1 triangular base = sum of all sides of the triangle.

P = 16+10+10 = 36 in

L = length or height of prism =

Plug in the values to find surface area of the prism

Surface area = 2(B.A) + P*L

= 2(48) + 36*7 = 96 + 252 = 348 in²

Surface area of prism = 348 in²

4 0

3 years ago

Polygon F has an area of 36 square units. Aimar drew a scaled version of Polygon F and labeled it Polygon G. Polygon G has an ar

Free_Kalibri [48]

Answer:

1/3

Step-by-step explanation:

The area of Polygon GGG is \dfrac19

9

1

start fraction, 1, divided by, 9, end fraction the area of Polygon FFF.

Each side of Polygon FFF was multiplied by a certain value, known as the scale factor , to result in an area that is \dfrac19

9

1

start fraction, 1, divided by, 9, end fraction the area of Polygon FFF.

[Show me an example of how scale factor affects area]

\dfrac1{10}

start fraction, 1, divided by, 10, end fraction

\begin{aligned} A &= \left(l\times\dfrac1{10}\right)\times\left(w\times\dfrac1{10}\right) \\ \\ A&= l\times w\times\dfrac1{10}\times\dfrac1{10} \\ \\ A&= lw \times \left(\dfrac1{10}\right)^2\end{aligned}

\dfrac1{10}

start fraction, 1, divided by, 10, end fraction\left(\dfrac1{10}\right)^2

left parenthesis, start fraction, 1, divided by, 10, end fraction, right parenthesis, start superscript, 2, end superscript

Hint #22 / 3

The area of a polygon created with a scale factor of \dfrac1x

x

1

start fraction, 1, divided by, x, end fraction has \left(\dfrac1{x}\right)^2(

x

1

)

2

left parenthesis, start fraction, 1, divided by, x, end fraction, right parenthesis, start superscript, 2, end superscript the area of the original polygon:

\left(\text{scale factor}\right)^2=\text{fraction of the area the scale copy has}(scale factor)

2

=fraction of the area the scale copy hasleft parenthesis, s, c, a, l, e, space, f, a, c, t, o, r, right parenthesis, start superscript, 2, end superscript, equals, f, r, a, c, t, i, o, n, space, o, f, space, t, h, e, space, a, r, e, a, space, t, h, e, space, s, c, a, l, e, space, c, o, p, y, space, h, a, s

The area of Polygon GGG is \dfrac19

9

1

start fraction, 1, divided by, 9, end fraction the area of Polygon FFF. Let's substitute \dfrac19

9

1

start fraction, 1, divided by, 9, end fraction into the equation to find the scale factor.

\left(\dfrac1{?}\right)^2=\dfrac19(

?

1

)

2

=

9

1

left parenthesis, start fraction, 1, divided by, question mark, end fraction, right parenthesis, start superscript, 2, end superscript, equals, start fraction, 1, divided by, 9, end fraction

The scale factor is \dfrac13

3

1

start fraction, 1, divided by, 3, end fraction.

Hint #33 / 3

Aimar used a scale factor of \dfrac13

3

1

start fraction, 1, divided by, 3, end fraction to go from Polygon FFF to Polygon GGG.

4 0

3 years ago

Read 2 more answers

Complete the statement with equal to greater than or less than 5/5 * 2 3/4

Westkost [7]

5/5*2 3/4 > 2 3/4

hope this helps :)

3 0

3 years ago