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Sonja [21]
3 years ago
15

What's the volume of a triangular prism with the base of the triangle Bing 3.6 m and the height of the triangle being 2.4 m and

the width of the whole prism 7 m
Mathematics
2 answers:
Bezzdna [24]3 years ago
7 0

Answer:

Volume of the Triangular Prism is 30.24 m³

Step-by-step explanation:

For any prism,

Volume = Base Area X Width

Where Width is the distance between the two equal faces. In this case, the two triangular faces.

Base =3.6m

Height=2.4m

Width=7m

Volume of a Triangular Prism = Area of the triangle X Width

= ½bh X W

= ½ X 3.6 X 2.4 X 7

=30.24 m³

The volume of the triangular prism is 30.24 m³.

AveGali [126]3 years ago
6 0

Answer:

30.24m^3

Step-by-step explanation:

Volume of a triangular prism= 1/2× b × h× w

= 1/2×3.6m×2.4m×7m

=1/2× 8.64×7m

=1/2×60.48

=30.24m^3

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3 years ago
On the plane curve defined by the parametric equations below, what point corresponds to t= -1
Anton [14]
The equation x=2t-1 represent the x-coordinate. To get the value of x, substitute t with -1.

That is:  x = 2(-1) - 1
                 = -2-1 
                = -3
Likewise, the equation y=t∧-3 represent the y-coordinate. Substituting t with -1,
 
  y = (-1)∧-3
    = -1

The point that correspond to t=-1 is (-3,-1).
6 0
3 years ago
Read 2 more answers
What is the are of a circle that measures 12 ft in diameter?<br>​
Alexus [3.1K]

Answer:

113.04

Step-by-step explanation:

the equation for the area of a circle is pie times radius squared

5 0
2 years ago
A. What is 45/56 simplified?
dimulka [17.4K]

Answer:

Below in bold.

Step-by-step explanation:

In each case you divide top and bottom by the GCF.

A. The GCF of 45 and 56 is 1.

so the answer is 45/56.

B. 15/16 (GCF = 1)

C. Here the GCF is 5 so the answer is (35/5) / (80/5)

= 7/16.

D. 5/6 (GCF is 4).

8 0
3 years ago
Read 2 more answers
Uma rede de supermercados fornece a seus clientes um cartão de crédito cuja identificação é formada por 3 letras distintas (dent
Vitek1552 [10]

Answer:

The correct option is (A) 33,600.

Step-by-step explanation:

The question is:

A supermarket chain provides its customers with a credit card whose identification is formed by 3 different letters (among 26), followed by 4 different digits. A given city will receive cards with L as the third letter, the last number is zero and the penultimate is 1. The total number of distinct cards offered by such supermarket chain for that city is A) 33600 B) 37800 C) 43200 D ) 58500 E) 67600

Solution:

The general format of the credit cards provided by a supermarket chain is as follows:

<u>X</u> <u>X</u> <u>X</u> <u>#</u> <u>#</u> <u>#</u> <u>#</u>

Here, <em>X</em> represents letters and # represents numbers.

All the three letters have to different and all the four numbers have to different, i.e. no repetition allowed.

It is provided that a given city will receive cards with L as the third letter, the last number is zero and the penultimate is 1.

Then the general format of this cities credit cards is as follows:

<u>X</u> <u>X</u> <u>L</u> <u>#</u> <u>#</u> <u>1</u> <u>0</u>

Now there are two spaces left for letters and 2 for numbers.

As there are no repetition allowed the two letter spaces can be filled by:

Number of ways to select 2 letters = 25 × 24 = 600

And the number of ways to select two numbers when there is no repetition allowed is:

Number of ways to select 2 numbers = 8 × 7 = 56

Compute the total number credit cards available at the supermarket as follows:

Total number credit cards = 600 × 56 = 33600

Thus, the total number of distinct cards offered by such supermarket chain for that city is 33,600.

The correct option is (A).

3 0
3 years ago
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