Which word BEST describes 3x, 5y, and z in the expression 3x − 5y + z?

Find the surface area of the square pyramid (above) using its net (below).<br> 3

Murljashka [212]

Answer

33

Step-by-step explanation:

11 of the faces is a square.

\begin{aligned} \text{Area of a square} &= \text{side} \cdot \text{side}\\\\ &= 3 \cdot 3\\\\ &= {\blueD{9}} \\\\ \end{aligned}

Area of a square

=side⋅side

=3⋅3

=9

Hint #22 / 4

444 of the faces are triangles. Each triangle has the same base and height.

\begin{aligned} \text{Area of a triangle} &= \dfrac12 \cdot \text{base} \cdot \text{height}\\\\ &= \dfrac12 \cdot 3 \cdot 4\\\\ &= 6 \\\\ \end{aligned}

Area of a triangle

=

2

1

⋅base⋅height

=

2

1

⋅3⋅4

=6

The total area of these 444 triangles is 4 \cdot 6 = \greenD{24}4⋅6=244, dot, 6, equals, start color #1fab54, 24, end color #1fab54.

Hint #33 / 4

Let's add the areas we found to find the surface area.

\begin{aligned} \text{Surface area} &= \blueD{9}+ \greenD{24}\\\\ &= 33\\\\ \end{aligned}

Surface area

=9+24

=33

Hint #44 / 4

The surface area of this square pyramid is 333333 units^2

2

squared.

6 0

3 years ago

Sally had 1000 photos to put into a photo album.She set 10 photos aside to place in frames.If her photo album fits 3 photos per

Kruka [31]

Answer:

Sally needed 330 pages of album to place her photos in it.

Step-by-step explanation:

Given:

Total number of photos = 1000

Number of photos kept aside to be place in frame = 10

Number of photos in per page of album = 3

We need to find the number of pages needed to place the photos in album.

Solution:

First we will find the number of photos to be place in album.

Now we know that she kept aside some photos which has to be frame framed.

So number of photos to be place in album can be calculated by Subtracting Number of photos kept aside to be place in frame from Total number of photos

framing in equation form we get;

number of photos to be place in album = 1000 - 10 = 990 photos

Now we will find number of pages needed to place the photos in the album.

number of pages needed to place the photos in the album can be calculated by dividing number of photos to be place in album with number of photos in per page of album.

framing in equation form we get;

number of pages needed to place the photos in the album = $\frac{990}{3}= 330\ pages.$

Hence Sally needed 330 pages of album to place her photos in it.

6 0

2 years ago

What is the y1 of 3x-5y=20

Aliun [14]

Unsure of what you mean by "y1."

If you wish to solve this eqn for y, do this:
-5y = - 3x + 20,
-3x + 20
y = ---------------- = (3/5)x - 4 (answer)
-5

5 0

3 years ago

Sam is selling homemade cookies to raise money for charity. Each cookie sells for $.50. Sam spent $90 on baking supplies and eac

Hunter-Best [27]

9514 1404 393

Answer:

360

Step-by-step explanation:

Sam obtains a "contribution margin" of $0.50 -0.25 = $0.25 per cookie. That will cover the cost of baking supplies when he sells ...

$90 / ($0.25/cookie) = 360 cookies

Sam needs to sell 360 cookies before he can start making a profit.

_____

If you like, you can find Sam's break-even point by equating revenue and cost. The is the number of cookies Sam must sell for a profit of 0, that is, for non-negative profit.

P = R - C

0 = R - C

R = C

0.50n = 90 +0.25n

0.25n = 90 . . . . subtract 0.25n

n = 90/0.25 = 360 . . . .divide by the coefficient of n

You may notice this is similar to our description above.

3 0

2 years ago

Ahmed received a box of gifts. The box is a rectangular prism with the same height and width, and the length

liubo4ka [24]

Answer:

12 inches

Step-by-step explanation:

Ahmed received a box of gifts. The box is a rectangular prism with the same height and width, and the length

is twice the width. The volume of the box is 3,456 in? What is the height of the box?

Volume of a Rectangular pyramid = Length × Width × Height

From the above question

Height = Width = x

Length = 2 × Width

Length = 2x

Volume = 3,456 cubic inches

Hence,

3,456 = 2x × x × x

3456 = 2x³

x³ = 3456/2

x³ = 1728

Cube root both sides

Cube root(x³) = cube root (1728 cubic Inches)

x = 12 inches

Therefore, the height is 12 inches

3 0

3 years ago