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ankoles [38]
2 years ago
7

What is the longest line segment that can be drawn in a right rectangular prism that is 15 cm​ long, 11 cm​ wide, and 10 cm​ tal

l?
Mathematics
1 answer:
sammy [17]2 years ago
8 0

Answer:

  √446 ≈ 21.12 cm

Step-by-step explanation:

The longest dimension of a rectangular prism is the length of the space diagonal from one corner to the opposite corner through the center of the prism. The Pythagorean theorm tells you the square of its length is the sum of the squares of the dimensions of the prism:

  d² = (15 cm)² +(11 cm)² +(10 cm)² = (225 +121 +100) cm² = 446 cm²

  d = √446 cm ≈ 21.12 cm

The longest line segment that can be drawn in a right rectangular prism is about 21.12 cm.

_____

<em>Additional comment</em>

The square of the face diagonal is the sum of the squares of the dimensions of that face. The square of the space diagonal will be the sum of that square and the square of the remaining prism dimenaion, hence the sum of squares of all three prism dimensions.

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Which expressions show the expanded form for 50.029?
Anna [14]
They all show 50.029
The correct answers are:
A.) <span>5 × 10 + 0 × 1 + 0 × 1/10 + 2 ×1/100 + 9 × 1/1000 
Sorry.
This is all I can find correct
Its a little hard when you post the tenths, hundredths, and thousandths as fractions, but A is all I can find.

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8 0
3 years ago
Please help me out !!! <br><br> *please answer asap*
lorasvet [3.4K]

Answer:

the answer is 12

Step-by-step explanation:

p(n)= 6-2(1+n)

so if p(2)

then n=2

therefore,

p(2)= 6-2(1+2)

= 4×3

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8 0
3 years ago
Simplify when it is possible. 10x² -y + x² =
mafiozo [28]

Answer:

11x² - y

Step-by-step explanation:

Step 1: Write out expression

10x² - y + x²

Step 2: Combine like terms

11x² - y

That is simplest form.

3 0
3 years ago
Read 2 more answers
#15 i
MA_775_DIABLO [31]

The inequality which represents the missing dimension x is x≥1.6 or x≥8 / 5.

Given that the area is greater than or equal to 8 square feet and image is attached below.

We want to find the missing inequality x in the form of inequality.

The figure is assumed to be a right triangle with Root = x and perpendicular = 10ft.

As we know the area of ​​a triangle is half the product of the base and the height.

First of all, we will find the area of ​​the triangle by substituting the given values ​​we get

Area=(1/2)×Base×height

Area=(1/2)×x×10

Area=5x      ......(1)

Assume that this area is greater than or equal to 8 square feet.

That means Area≥8ft²      ......(2)

Now we will balance equation (1) and equation (2), we get

5x≥8ft²

Furthermore, they we will divide both sides by 5 we get

(5x)/5≥8/5

x≥8/5

x≥1.6

Therefore, the inequality represents the missing size x when the area is larger or equal to 8 square feet is x ≥1.6ft².

Learn more about the dimension from here brainly.com/question/13271352

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4 0
2 years ago
A
Anika [276]

Based on the information, it should be noted that the value of x is 3 and the measure of angle HEB will be 27°.

<h3>How to illustrate the information?</h3>

It should be noted that complementary angles are the angles that are equal to 90°.

Therefore, based on the information given, the expression will be illustrated thus:

19x + 6 + 9x = 90°

Collect like terms

28x = 90° - 6°

28x = 84

Divide through by 28

28x / 28 = 84/28

x = 3

Therefore, the value of HEB will be:

= 9x

= 9 × 3

= 27°

Therefore, based on the information, it should be noted that the value of x is 3 and the measure of angle HEB will be 27°.

Learn more about angles on:

brainly.com/question/25716982

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5 0
1 year ago
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