Identify the fraction as a proper improper and mixed however if the fraction is equivalent to one indicate so 7/3

UNIT 5: CEREAL BOX PROJECT / PORTFOLIO <br> HELP

Mrrafil [7]

Using the formula for volume and surface area of solids, we have the following:

1. 180 in.³; 258 in.²; $12.9

2. 144 in.³; 184 in.²; $9.2

3. 75 in.³; 228 in.²; $11.4

<h3>What is Volume and Surface Area?</h3>

Volume of a rectangular prism = l × w × h

Surface area of a rectangular prism = 2(wl+hl+hw)

Volume of a square pyramid = 1/3 × a² × h

Surface area of a square pyramid = a² + 2al

Volume of a cylinder = πr²h

Surface area of a cylinder = 2πr( h + r)

1. Volume of the rectangular prism cereal box = 7.5 × 2 × 12 = 180 in.³

Surface area of the rectangular prism cereal box = 2(wl+hl+hw) = 2(2 × 7.5 + 12 × 7.5 + 12 × 2) = 258 in.²

Cost of material for the the rectangular prism cereal box = 258 × 0.05 = $12.9.

2. Volume of the square pyramid cereal box = 1/3 × a² × h = 1/3 × 6² × 12 = 144 in.³

Surface area of the square pyramid cereal box = a² + 2al = 6² + 2(6)(12.3) ≈ 184 in.²

Cost of material for the the square pyramid cereal box = 184 × 0.05 = $9.2.

3. Volume of the cylinder cereal box = πr²h = π(2.5²)(12) = 75 in.³

Surface area of the cylinder cereal box = 2π(2.5)(12 + 2.5) ≈ 228 in.²

Cost of material for the the cylinder cereal box = 228 × 0.05 = $11.4.

Learn more about the surface area and volume of solids on:

brainly.com/question/16599646

3 0

2 years ago

PLEASE HELP WILL GIVE BRAINLIEST!!<br> NEED DONE TODAY PLEASE HELP!!

OlgaM077 [116]

Answer:

They are not traveling at the same speed (Graph attached)

Step-by-step explanation:

(Assuming that the graph and table are the two different cars)

If you look at the graph and the table, you can already see that the value for 8 in the graph is 2, when the value for 8 in the table is 1, meaning that they are not at the same speed.

To graph the table, you need to find the equation first, which is y = 8x because the corresponding value for 1 in the table is 8 and the slope (or the value next to x) is equal to the unit rate, or the value corresponding to 1. Next, you can graph it by finding two points, (0,0) and (1,8), and putting a straight line through them (or use an online graphing calculator).

(Graph is attached)

3 0

3 years ago

Annie has $1,400 in the bank. she takes out $700 for a new computer and then withdraws $120 each week for groceries. how many we

givi [52]

Answer:

5 weeks

Step-by-step explanation:

1400-700=700

700/120=5 the remaining cash will be 100

8 0

2 years ago

Which of the following equations could be used to solve for x in the triangle shown? tan48°=10/x

galben [10]

Acronym to remember the 3 basic trigonomic functions:

Soh - Cah - Toa

opposite
sin = --------------------
  hypotenuse

adjacent
cos = -------------------
hypotenuse

opposite
tan = -----------------
adjacent

In your case, you can set up a sine trigonomic function, like this:

Sin 48 = 10 (adjacent)
-----
x (hypotenuse)

    10
(x) Sin 48 = ------ (x)
     x

  (x) Sin 48 = 10
-------------- -------------
Sin 48 Sin 48

Plug in 10(sin)(48) into a calculator.

x = 7.43

I just realized that you didn't ask me to find the answer, but now you will know even more than you need to :D

4 0

3 years ago

Help with this please.

Ivanshal [37]

Answer:

True
True

Step-by-step explanation:

This question asks you to compare the coordinates of the vertex of each function.

__

The vertex of the function is its minimum, the point where the graph stops decreasing and starts increasing. It is the lowest point on the graph.

The vertex is (-4, -1). The minimum is -1, located at x = -4.

The vertex is (1, -25). The minimum is -25, located at x = 1. We know this is the minimum because there are no g(x) values that are lower (more negative).

<h3>comparison</h3>

The minimum of f(x), -1, is greater than the minimum of g(x), -25. TRUE

The x-value of f(x) at its minimum, -4, is less than the x-value of g(x) at its minimum, 1. TRUE

8 0

2 years ago