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Ber [7]
2 years ago
14

The figure below shows dimensions of a block of foam used to package a triangular shaped product. The foam is in the shape of a

rectangular prism with a small triangular prism removed from the center. How many cubic centimeters of foam are used to package this product?

Mathematics
1 answer:
stellarik [79]2 years ago
5 0

Answer:

5,580

Step-by-step explanation:

Rectangle: 36x30x60=6480

Triangle: 1/2x15x20x6=900

6480-900=5,580

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Mr peterson will buy 80 feet of fencing. The pieces of fence come in whole numbers of feet. His enclosure will be a rectangle an
DIA [1.3K]
The perimeter is:
 P = 2x + 2y = 80
 The area is:
 A = x * y
 The area as a function of a variable is:
 A (x) = x * (40-x)
 Rewriting we have:
 A (x) = 40x-x ^ 2
 We derive the function:
 A '(x) = 40-2x
 We equal zero and clear x:
 40-2x = 0
 2x = 40
 x = 40/2
 x = 20 feet
 The other dimension is:
 y = 40 - x
 y = 40 - 20
 y = 20 feet
 The area will be:
 A = x * y
 A = 20 * 20
 A = 400 feet ^ 2
 Answer:
 
The dimensions are:
 
x = 20 feet
 
y = 20 feet
 
The area is:
 
A = 400 feet ^ 2
5 0
3 years ago
A drawing of a tree and a wall are in the image below.
mina [271]

Answer:

<em>Choice B. 16 feet.</em>

<em>The height of the tree is 16 ft</em>

Step-by-step explanation:

<u>Similar Triangles</u>

Similar triangles have their corresponding side lengths proportional by a fixed scale factor.

We are given the drawings of a tree and a wall and it's assumed both triangles are similar. We need to find the scale factor and find the height of the tree.

Comparing the corresponding distances from the viewer to the base of the tree and the base of the wall, we can calculate the scale factor as 24/6=4.

Applying the same factor to the height of the model, we get the height of the tree is 4*4 = 16 ft.

Choice B. 16 feet

The height of the tree is 16 ft

6 0
3 years ago
The work of a student to find the dimensions of a rectangle of area 6 + 8x and width 2 is shown below:
tatiyna
Answer:
Step 2; 2(3) = 2(4x)
5 0
3 years ago
Read 2 more answers
(9+8)+6/3-7×2 how to slove
klemol [59]

Answer:

Step-by-step explanation:

There is a specific order to do these kind of problems..

first, we do everything in parenthesis...

(9 + 8) + 6/3 - 7 * 2

17 + 6/3 - 7 * 2

now, starting from the LEFT side, do all multiplication and division in the order it comes

17 + 2 - 14

now, starting from the LEFT side, do all addition and subtraction in the order it comes

19 - 14 = 4

so ur answer is 4

Learn this...order of operations....this is the order u do these problems in..

PEMDAS

P = parenthesis

E = exponents

M = multiplication

D = division

A = addition

S = subtraction

keep in mind, multiplication/division are done from left to right....u do not have to do multiplication before u do division....it just depends on which comes first when starting from the left side.....that also applies to addition/subtraction

5 0
3 years ago
Read 2 more answers
Evaluate the following expression
lina2011 [118]

Answer:

Hope this is correct

Step-by-step explanation:

HAVE A GOOD DAY!

6 0
3 years ago
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