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vladimir2022 [97]
2 years ago
13

Find the surface area of triangle prism. ​

Mathematics
1 answer:
shepuryov [24]2 years ago
4 0

Step-by-step explanation:

the area of a triangle is baseline×height/2

in case of such a right-angled triangle we can use the sides that enclose the 90 degree angle as baseline and height.

so,

B = 8×6/2 = 8×3 = 24 yd²

the height h is 8 yd (as the picture clearly shows).

the perimeter of the base is the sum of all three sides

P = 8 + 6 + 10 = 24 yd

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Find the area of the triangle with the given base and height.<br> b = 3 m and h = 10 1/2 m
svetoff [14.1K]

<u>Statement</u><u>:</u>

The base of a triangle is 3m and its height is 10 \frac{1}{2} m.

<u>To </u><u>find </u><u>out:</u>

The area of the triangle.

<u>Solution:</u>

  • Given, base = 3m, height = 10 \frac{1}{2}m
  • We know,

\sf \: area \:  \:  of \:  \: a \:  \: triangle =  \frac{1}{2}  \times base \:  \times height

  • Therefore, the area of the triangle

\sf =  (\frac{1}{2}  \times 3 \times 10 \frac{1}{2} ) {m}^{2}  \\ \sf  = ( \frac{1}{2}  \times 3 \times  \frac{21}{2} ) {m}^{2}  \\  = \sf  \frac{63}{4}  {m}^{2}  \\  =   \sf 15\frac{3}{4}  {m}^{2}

<u>Answer</u><u>:</u>

The area of the triangle is \sf \: 15 \frac{3}{4}  {m}^{2}

Hope you could understand.

If you have any query, feel free to ask.

5 0
2 years ago
Read 2 more answers
Pls help me rn bec sue tmr pls pls
blagie [28]

Answer:

Number of 1-cm cube 24. Volume of solid 24 cm^2

Step-by-step explanation:

3 0
2 years ago
X to the power of 2 add 3x
faust18 [17]

Answer:

Hope this helps

Step-by-step explanation:

a) x^2 + 3x = x(x+3)

b) 2x^2 - 8x = 2x(x - 4)

c) 6x + 9x^3 = 3x(2 + 3x^2)

d) 12x^3 - 4x^2 = 4x^2(3x - 1)

8 0
2 years ago
If 2x+3y=6 and -5x+2y=4 then what is x and y??
zalisa [80]

Answer:

x=0 y=2

Step-by-step explanation:

2x+3y=6 .... 1

-5x+2y=4 .... 2

Multiply 5 with equation 1 and multiply 2 with equation 2

Then we get

10x+15y=30

-10x+4y=8

-10x and +10x get canceled so 19y=38

y=38/19=2

substitute y value in equation 1 or 2 and find the value to get x

8 0
2 years ago
6. Solve for a: 3a – 5(a - 2) = 34<br>1. a = 1<br>2. a = -12<br>3. a = -22<br>4. a = 0​
Sauron [17]

Answer:

a = -12

Step-by-step explanation:

3a – 5(a - 2) = 34

→ Expand out the brackets – 5(a - 2)

– 5(a - 2) = – 5(a + 2) = -5a + 10

→ Substitute that back into the equation

3a - 5a + 10 = 34

→ Simplify the 'a's

-2a + 10 = 34

→ Minus 10 from both sides to isolate -2a

-2a = 24

→ Divide both sides by -2 to isolate a

a = -12

7 0
3 years ago
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