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marin [14]
4 years ago
12

Find the lateral surface area of the triangular prism.​

Mathematics
1 answer:
jolli1 [7]4 years ago
5 0

Answer:

A=108\ in^2

Step-by-step explanation:

<u>Lateral Surface Area</u>

It's the sum of the five surface areas formed by the prism. There are two identical triangles (front and back surfaces) and three rectangles (bottom, lateral and upward).

Each triangle has a base of 4 in and a height of 3 in. The area of each triangle is

\displaystyle A_t=\frac{bh}{2}=\frac{4\cdot 3}{2}=6\ in^2

The total area of the triangles is twice that value, or 12\ in^2

The area of the lateral rectangle is

A_l=3\cdot 8=24\ in^2

The area of the bottom rectangle is

A_b=4\cdot 8=32\ in^2

The area of the upward rectangle is

A_u=5\cdot 8=40\ in^2

The total lateral area is

A=12+24+32+40=108\ in^2

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Triangle DIG is reflected across the l-axis.
drek231 [11]

there is not such thing as an I axis, but I will show you what happens for both x and y axis so you can fill out the assignment with the correct information.

IF you meant flipping over the x axis, then the dot will go from top to bottom, bottom to up, the x position won't change only its height(y position)

This meant that for reflecting across the x axis, (x,y)->(x,-y)

For y axis its the opposite, just flipping to the side.

This meant that for reflecting across the y axis, (x,y)->(-x,y)

7 0
3 years ago
What is the surface area of a sphere with radius 2?
VladimirAG [237]

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8 0
3 years ago
1 point
Dimas [21]

Answer:

The simplest radical form is 9\sqrt{5} ⇒ (c)

Step-by-step explanation:

To simplify any square root;

  • Factorize the number under the root using prime numbers
  • Take out the root any number repeated twice as one number

<em><u /></em>

<em><u>Examples:</u></em>

1. Simplify \sqrt{8}

factorize 8 using prime numbers

8 = 2 × 2 × 2, then \sqrt{8}=\sqrt{(2)(2)(2)}

Take two of 2 out the root, then \sqrt{8}=2\sqrt{2}

2. Simplify \sqrt{18}

factorize 18 using prime numbers

18 = 2 × 3 × 3, then \sqrt{18}=\sqrt{(2)(3)(3)}

Take the two 3 out the root, then \sqrt{18}=3\sqrt{2}

Let us simplify 3\sqrt{45}

∵ 45 = 3 × 3 × 5

∴ 3\sqrt{45}=3\sqrt{(3)(3)(5)}

→ Take the two 3 out by one 3

∴  3\sqrt{45}=3(3)\sqrt{5}

→ Multiply the numbers out the root

∴ 3\sqrt{45}=9\sqrt{5}

∴ The simplest radical form is 9\sqrt{5}

8 0
3 years ago
PLEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEASE
mario62 [17]
(15, -8) :)
From C to midpoint you do (+10, -7), so you have to do that again to get to D
4 0
3 years ago
What is 100 x 0.95=_____
kifflom [539]

Answer: 95

Step-by-step explanation:

That’s the same as 0.95 of 100. That’s because 0.95 represents 0.95 and 100 represents 100, the of is the same as x. You can switch the two numbers and you can still get the same answer. So, 0.95 of 100 is 95.

5 0
3 years ago
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