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Thepotemich [5.8K]
3 years ago
10

Find the total surface area of the triangular prism

Mathematics
1 answer:
GuDViN [60]3 years ago
3 0

Answer:

1,008\:\mathrm{cm^2}

Step-by-step explanation:

The total surface area of this triangular prism consists of three rectangles and two triangles. Adding the areas of each of these shapes allows us to find the total surface area of this 3D figure:

Area of both triangles:

2\cdot \frac{1}{2}\cdot12\cdot 14=168\:\mathrm{cm^2}

Area of all three rectangles:

15\cdot 20 +13\cdot 20+14\cdot 20=840\:\mathrm{cm^2}

Therefore, the total surface area of this figure is:

840+160=\fbox{$1,008\:\mathrm{cm^2}$} \: \checkmark

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Find the Diameter of the Circle with the following equation. Round to the nearest tenth.
Radda [10]

The diameter of the circle is 11.8 units

<h3>How to determine the diameter of the circle?</h3>

The circle equation is given as:

(x - 2)^2 + (y + 6)^2 = 35

A circle equation is represented as:

(x - a)^2 + (y - b)^2 = r^2

Where

Diameter = 2r

By comparing both equations, we have

r^2 = 35

Take the square root of both sides

r = 5.9

Multiply by 2

2r = 11.8

Hence, the diameter of the circle is 11.8 units

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brainly.com/question/10618691

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3 0
2 years ago
Solve the equation. Check your solution.
VladimirAG [237]
-5x/6  + 1=7/18
lowest common multiple=18
-15x+18=7
-15x=7-18
-15x=-11
x=-11/-15=11/15

The solution set is [11/15]

we check it out.
-5(11/15) /6    +  1 =7/18
(-55/15) / 6 +1=7/18
-55/90  +  1=7/18
(-55+90) /90=7/18
35/90=7/18
7/18=7/18
5 0
3 years ago
Which number(s) below belong to the solution set of the inequality? Check all that apply.x + 16 &lt; 51.
natta225 [31]
If you subtract 16 on both sides... x will be alone. Therefore 51-16=35
x=35 (B)
5 0
3 years ago
Identify square root of 2 as either rational or irrational, and approximate to the tenths place.
Artist 52 [7]
Definitely irrational, and I'd say 1.4
4 0
3 years ago
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What is -6+x=23<br><br><br><br><br><br> knjhkfxfh mvgh
Valentin [98]

Answer: x = 29.

Step-by-step explanation: Step 1: Simplify both sides of the equation.

x−6=23

Step 2: Add 6 to both sides.

x−6+6=23+6

x=29

Consider marking this answer as brainliest if it helped.

6 0
2 years ago
Read 2 more answers
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