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madam [21]
2 years ago
11

Given ABC ~ DEF find the length of segment DE. Segment DE is _____ mm.

Mathematics
1 answer:
eduard2 years ago
8 0

Answer:

20 mm

Step-by-step explanation:

\frac{48}{40} =\frac{24}{x} \\48x=(40)(24)\\48x=960\\x=20mm

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What is the volume of this triangular prism? 313.6cm3 506.8cm3 5,676.16cm3 11,352.32cm3
lyudmila [28]

The question is incomplete. Here is the complete question:

What is the volume of this triangular prism?

Base length = 22.4 cm

Height = 18.1 cm

Length = 28 cm

A) 313.6 cm3

B) 506.8 cm3

C) 5,676.16 cm3

D) 11,352.32 cm3

Answer:

V=5,676.16\ cm^3

Step-by-step explanation:

Given:

The base of the prism is triangular with base length equal to 22.4 cm and height 18.1 cm. The length of the prism is 28 cm.

The volume of a triangular prism is defined by the formula:

V=(Area\ of\ base)\times (length)

Here, the base is triangular and the area of a triangle is:

A=\frac{1}{2}base \times height

Therefore,  the volume of the triangular prism is given as:

V=\frac{1}{2}(base\times height\times length)

Now, plug in the given values and solve for the volume 'V'.

V=\frac{1}{2}(22.4\ cm\times 18.1\ cm\times 28\ cm)\\\\V=\frac{1}{2}(11,352.32\ cm^3)\\\\V=5,676.16\ cm^3

Therefore, the correct answer is the third option.

V=5,676.16\ cm^3

7 0
3 years ago
Read 2 more answers
Solve for x<br> x - 20 + 2x = 35
Tanya [424]

\sf{\red{ANSWER \: \: :}}

x = 18 1/3

\sf{\purple{EXPLANATION \: \: :}}

x - 20 + 2x = 35

- 20 + 3x = 35

3x = 35 + 20

3x = 55

x = 55/3

x = 18 1/3

5 0
1 year ago
What is the domain of the relation?<br><br> Express your answer using inequalities.
son4ous [18]

Answer:

-6<x<0

  -    -

Step-by-step explanation:

make them less than or equal to signs, I don't know how to do that on a computer, I hope I am correct

point one on the left is -6, point 2 on the right is 0 (in terms of the x-axis, that's what domain is )

when there is arrows in the graph, the x/y is always in the middle.

Good luck! Hope I'm not late!

8 0
3 years ago
Read 2 more answers
Which is the answer. A B C D?
Harlamova29_29 [7]

Answer:

A) T'(-2,3), U'(0,5), V'(-1,0)

5 0
2 years ago
I need help please!!!
const2013 [10]

Part 1

<h3>Answer:   13</h3>

---------------------

Explanation:

We'll replace every copy of x with -3. Then use PEMDAS to simplify.

f(x) = -2x+7

f(-3) = -2(-3)+7

f(-3) = 6+7

f(-3) = 13

===========================================================

Part 2

<h3>Answer:  -11</h3>

---------------------

Explanation:

We work backwards in a sense compared to what part 1 did. Instead of finding f(x) based on x, we determine what x must be for a given f(x).

We'll replace f(x) with 29 and solve for x like so

f(x) = -2x+7

29 = -2x+7

-2x+7 = 29

-2x = 29-7

-2x = 22

x = 22/(-2)

x = -11

Note how if you replaced x with -11, we'd get,

f(x) = -2x+7

f(-11) = -2(-11)+7

f(-11) = 22+7

f(-11) = 29

which helps confirm we have the correct answer.

8 0
2 years ago
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