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Nikolay [14]
2 years ago
14

What is the value of B for the following triangular prism?

Mathematics
2 answers:
Naya [18.7K]2 years ago
8 0

It would be 48ft2. If you need help with anything just ask

Lostsunrise [7]2 years ago
3 0
Does B refer to the base of this
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The table lists students in an international summer school and the countries they come from.
ruslelena [56]

Answer: No

Step-by-step explanation:

3 0
2 years ago
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Regular hexagon ABCDEF has vertices at A(4, 4!3), B(8, 4!3), C(10, 2!3), D(8, 0), E(4, 0) and F(2, 2!3).
marissa [1.9K]

Since the given hexagon is a regular hexagon all it's sides will be of equal length. Now, we know that the Area of any regular hexagon is given by:

A=\frac{3\sqrt{3}}{2} a^2

Where A is the area of the regular hexagon

a is the side length of the regular hexagon

Also, it's Perimeter is given by:

P=6a

Thus, all that we need to do is to find the side length of any one of the sides and to do that let us have a look at at the data of vertices points given and find out which points are definitely adjacent to each other and are also easy to calculate.

A quick search will yield that D(8, 0) and E(4, 0) are definitely adjacent to each other.

Please check the attached file here for a better understanding of the diagram of the original regular hexagon. Points D and E indeed are adjacent to each other.

Let us now find the distance between the points D and E using the distance formula which is as:

d=\sqrt{(x_1-x_2)^2+(y_1-y_2)^2}

Where d is the distance.

(x_1,y_1) and (x_2,y_2) are the coordinates of points D and E respectively. (please note that interchanging the values of the coordinates will not alter the distance d)

Applying the above formula we get:

d=\sqrt{(8-4)^2+(0-0)^2} =\sqrt{4^2}=4

\therefore d=4

We know that this distance is the side length of the given regular hexagon.

\therefore d=a=4

Now, if the sides of the given regular polygon are reduced by 40%, then the new length of the sides will be:

a_{small}=4-\frac{40}{100}\times 4=2.4

Thus, the area of the smaller hexagon will be:

A_{small}=\frac{3\sqrt{3}}{2} a_{small}^2=\frac{3\sqrt{3}}{2} (2.4)^2\approx14.96 unit squared

and the new smaller perimeter will be:

P_{small}=6a_{small}=6\times 2.4=14.4 unit

Which are the required answers.

5 0
3 years ago
Please answer this correctly without making mistakes
AnnZ [28]

Answer:

10.99 inches

Step-by-step explanation:

7*2=14

diameter=14

circumference=diameter*pi

14*3.14=43.96

quarter circle

43.96/4=10.99

10.99 inches

7 0
3 years ago
Read 2 more answers
Simplify the expression:<br> 8+9–1+2a
eimsori [14]

Answer:

Answer: =2a + 16

Step-by-step explanation:

8+9−1+2a  =8+9+−1+2a

now its time to to do CLT  

=8+9+−1+2a

=(2a)+(8+9+−1)

=2a+16

4 0
3 years ago
Read 2 more answers
I need to know this now
Anton [14]

Answer:

Option A) Inconsistent is correct

Step-by-step explanation:

Given equations are y=5x+2\hfill (1)

and 10x-2y=12\hfill (2)

Rewritting the equation y=5x+2 as below

5x-y=-2

Now multiplying the above equation into 2 we get

10x-2y=-4\hfill (3)

Now subtracting the equations (2) and (3)

10x-2y=12

10x-2y=-4

________

0\neq 16

Therefore the given system of equations has no solution

Therefore it is inconsistent

Therefore given two lines are parallel. Two parallel lines never intersect, so the given system has no solution and is inconsistent.

Option A) Inconsistent is correct

8 0
3 years ago
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