Select the word to make the statement true.

A box is in the shape of an equilateral triangular prism. if the box is to be covered with paper on its lateral sides, how many

Zarrin [17]

The total surface area of the triangular prism that has a height of h and the side length of a is given below.

$\rm a(\dfrac{\sqrt3}{2} \ a + 3h)$

<h3>What is a triangular prism?</h3>

A triangular prism is a closed solid that has two parallel triangular bases connected by a rectangle surface.

A box is in the shape of an equilateral triangular prism.

If the box is to be covered with paper on its lateral sides.

Let a be the side length of the equilateral triangle and h be the height of the prism.

Then the surface area of the triangular prism will be

Surface area = 2 × area of triangle + 3 × area of the rectangle

The area of the triangle will be

$\rm Area\ of\ triangle = \dfrac{\sqrt{3}a^2}{4}$

The area of the rectangle will be

$\rm Area \ of \ rectangle = a \ h$

Then the total surface area will be

$\rm Surface\ area = 2 \times \dfrac{\sqrt3 a^2 }{4} + 3 ah\\\\\\Surface\ area = a(\dfrac{\sqrt3}{2} \ a + 3h)$

More about the triangular prism link is given below.

brainly.com/question/21308574

7 0

2 years ago

Comppete the equation <br> X^2+y^2-10x+6y=15

mart [117]

I believe you meant: Use completing the square to determine the center and radius of the circle represented by this equation: <span>X^2+y^2-10x+6y=15

x^2 - 10x + 25 - 25 + y^2 + 6y + 9 - 9 = 15
Then:
(x-5)^2 + (y+3)^2 = 24 = 2sqrt(6)

This circle is centered at (5,-3) and has radius 2sqrt(6).</span>

8 0

3 years ago

Please just give me the actual answer to this question Or at least help me understand because I don't get it and I have looked i

iren [92.7K]

Step-by-step explanation:

To begin with, this is an English question.

Here is what ethos, pathos and logos mean:

Ethos: writing an ethos response requires an argument that includes trustworthy language.

Pathos: writing a pathos response requires an argument that includes emotion and make the reader use their feelings while reading the piece.

Logos: writing a logos response requires an argument that includes facts and logic to ensure the reader that what you are saying is true and reasonable.

In this task, you must use ethos, pathos, and logos separately and try to convince your parents to stay home by yourself.

example:

Logos: Staying home by myself can teach me great responsibility and prepare me for the future. It is much better for me to learn how to take care of myself and what to do in case of an emergency. It is a great opportunity to practice independency. My grandparents would probably rather be undisturbed and I don't wish to trouble them. I am getting older and need to learn how to take care of everything alone. I think I can handle it and is good training. Furthermore, it is a good chance to have some alone time as it is shown that being alone can be healthier for individuals. To sum up, staying home alone is a responsibility I need to practice and I am ready for it.

I hope that helped

5 0

3 years ago

If (-1, y) lies on the graph of y= 2^2x, then y=<br> -4<br> 1/4<br> 1

AfilCa [17]

Answer:

1/4

Step-by-step explanation:

Substitute x=-1 to find y

Given y= 2^2x

y(-1)=2^-2=1/(2^2)

7 0

3 years ago

A farmer has a collapsable grain bag which can expand both vertically and horizontally as he needs it to. He wants to find a fun

bija089 [108]

Answer:

$3x^{3}+15x^{2}+x+5$

Step-by-step explanation:

We are told that the area of the bag can be represented by the function $f(x)=3x^{2} +1$ and as the bag is raised up its height can be represented by the function $g(x)=x +5$ .

Since we know that we can find volume of cuboid by multiplying base area to its height. We are given area and height of bag as functions. Now we will find volume of the bag by multiplying these functions.

$\text{Volume of collapsible bag}=f(x)*g(x)$

$\text{Volume of collapsible bag}=(3x^{2}+1)*(x +5)$

After using distributive property we will get,

$\text{Volume of collapsible bag}=3x^{2}(x+5)+1(x+5)$

$\text{Volume of collapsible bag}=3x^{3}+15x^{2}+x+5$

Therefore, the collapsible bag can hold $3x^{3}+15x^{2}+x+5$ grain.

6 0

3 years ago