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Ket [755]
3 years ago
15

this triangular prism has a length of 20 centimeters, an end base of 6 centimeters and an end height of 8 centimeters. what is t

he volume of this prism?
Mathematics
1 answer:
antoniya [11.8K]3 years ago
4 0

Answer:

The volume of the triangular prism is 480 cm³.

Step-by-step explanation:

The volume of a triangular prism is:

V=\frac{1}{2}\times \text{b}\times \text{h}\times \text{l}

Here,

b = base

h = height

l = length

The information provided is:

b = 6 cm

h = 8 cm

l = 20 cm

Compute the volume of the triangular prism as follows:

V=\frac{1}{2}\times \text{b}\times \text{h}\times \text{l}

   =\frac{1}{2}\times 6\times 8\times 20\\\\=6\times 8\times 10\\\\=480\ \text{cm}^{3}

Thus, the volume of the triangular prism is 480 cm³.

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"If a = − 9 and b = − 6, show that (a−b) ≠ (b−a)."
denis-greek [22]

Answer:

Step-by-step explanation:

LHS  a - b = -9 - (-6) = -9 +6 = -3

RHS  b-a = -6 - (- 9) =  -6 +9 = 3

as LHS not equal to RHS

a-b not equal to b-a

Thus proven

7 0
3 years ago
Every morning, halle goes to school with a 1-liter bottle of water. she drinks 1/4 of the bottle before school starts and 2/3 of
Nuetrik [128]
I think it's 1/6. Because before school she drinks 1/4 then before lunch she drink 2/3 if 1/4 so you would multiply. 1*2=2. 4*3=12. So you get 2/12 or if you simplify, 1/6
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4 years ago
Which of the following is would most likely negatively affect a person’s net worth
coldgirl [10]

Step-by-step explanation:

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3 0
2 years ago
(09.01 HC)<br> Prove that the two circles shown below are similar. (10 points)
lisov135 [29]

Answer:

Proved

Step-by-step explanation:

Given

<u>Circle C</u>

R = 4 --- radius

(x,y) = (-3,1) --- center

<u>Circle E</u>

r= 3

(x,y) = (4,9) --- center

Required

Prove their similarity

Translate circle C 8 units up;

The rule is:

(x,y) \to (x,y+8)

So, we have:

(-3,1) \to (-3,1+8)

(-3,1) \to (-3,9)

Translate circle C' 7 units right;

The rule is:

(x,y) \to (x+7,y)

So, we have:

(x,y) \to (-3+7,9)

(x,y) \to (4,9)

<em>At this point, both circles now have the same center at (4,9)</em>

The next step is to dilate circle E by 4/3

This will only affect radius and not the center of E

The rule is:

r' = r * \frac{4}{3}

r' = 3 * \frac{4}{3}

r' = 4

So, we have:

R = r' = 4 -- equal radii

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7 0
3 years ago
Four times the sum of a number and 3 is the same as the sum of two times the number and 8. Find the number.
tino4ka555 [31]

Answer:

Step-by-step explanation:

4 (x + 3) = 2x + 8   <----"four times the sum of a number and three is equal to eight more than twice the number."

Second, we want to solve the equation:

4 (x + 3) = 2x + 8

4x + 12 = 2x + 8

2x + 12 = 8       <-------subtract 2x from both sides of the equation.

2x = -4              <-------subtract -12 from both sides

x = -2                <-------divide both sides by 2 which leaves a negative answer

Third, we want to check the answer by substituting the value of -2 for x in the original equation.

4 (x + 3) = 2x + 8

4 (-2 +3) = 2(-2) + 8

-8 + 12 = -4 + 8

  4        =      4

4 (x + 3) = 2x + 8   <----"four times the sum of a number and three is equal to eight more than twice the number."

Second, we want to solve the equation:

4 (x + 3) = 2x + 8

4x + 12 = 2x + 8

2x + 12 = 8       <-------subtract 2x from both sides of the equation.

2x = -4              <-------subtract -12 from both sides

x = -2                <-------divide both sides by 2 which leaves a negative answer

Third, we want to check the answer by substituting the value of -2 for x in the original equation.

4 (x + 3) = 2x + 8

4 (-2 +3) = 2(-2) + 8

-8 + 12 = -4 + 8

  4        =      4

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