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Assoli18 [71]
3 years ago
12

Each of two trapezoidal prisms has a volume of 120 cubic centimeters. the prisms have no dimensions in common. give possible dim

ensions for each prism.
Mathematics
1 answer:
slava [35]3 years ago
6 0
To answer this question you need to know how to find the volume of a trapezoidal prism. You multiply the area of a trapezoid by the height of the prism. To begin answering this, you can start with 2 different factors of 120. I chose 4 and 6.

If the height of one trapezoid is 4, the area would need to be 30. I wrote out the formula for area of a trapezoid (h (b1+b2)/2) and solved for 30. I multiplied both sides by 2 and saw that I needed a 60 from the sun of my 2 bases and the height of the trapezoid base. I used 2 for the height and 20 and 10 as the 2 bases.

For the second trapezoid, I used 6 as the height of the prism. This left me with 20 as the area. I used the same formula above and found that I needed to get 40. I used 5 as the height of the trapezoid and 1 and 7 as the two base lengths. Hope this helps!!
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2 years ago
What is z^(3)+5z+3z^(2)+1 - 4 - 2z^(2) simplified
garik1379 [7]
I hope this helps you



z^3+5z+3z^2-4-2z^2



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3 0
3 years ago
A coin has two sides head and tails a die has six sides if you roll the die what is the probability that you flip heads and roll
weqwewe [10]

Using it's concept, the probability that you flip heads and roll a number greater than 5 is: \frac{1}{12}.

<h3>What is a probability?</h3>

A probability is given by the <u>number of desired outcomes divided by the number of total outcomes</u>.

In this problem, we have that:

  • The probability of a head is 1/2.
  • The probability of a number greater than 5 is 1/6.

Hence the probability of both events is:

p = \frac{1}{2} \times \frac{1}{6} = \frac{1}{12}.

More can be learned about probabilities at brainly.com/question/14398287

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7 0
2 years ago
The graph represents the piecewise function
mr Goodwill [35]

The piece-wise function is defined as follows:

  • f(x) = x^2, 0 \leq x < 3.
  • f(x) = -\frac{5}{3}x + 14, 3 < x \leq 6.
  • f(x) = \frac{3}{2}x - 5, 6 \leq x \leq 10.

<h3>What is a piece-wise function?</h3>

A piece-wise function is a function that has multiple definitions, depending on the input.

In this graph, for x at least 0 and less than 3, the parabolic curve passes through (0,0), (1,1), (2,4) and has an open interval at (3,9), hence the definition is:

f(x) = x^2, 0 \leq x < 3

For x greater than 3 and at most 6, it is a line going through (3,9) and (6,4), hence:

m = \frac{9 - 4}{3 - 6} = -\frac{5}{3}

f(x) = -\frac{5}{3}x + b

Goes through (3,9), hence:

9 = -\frac{5}{3}(3) + b

b = 14.

So

f(x) = -\frac{5}{3}x + 14, 3 < x \leq 6

For x between 6 and 10, it is a line going through (6,4) and (10,10), hence:

m = \frac{10 - 4}{10 - 6} = \frac{6}{4} = \frac{3}{2}

Then:

f(x) = \frac{3}{2}x + b

When x = 10, f(x) = 10, hence:

10 = \frac{3}{2}(10) + b

10 = 15 + b

b = -5.

Hence:

f(x) = \frac{3}{2}x - 5, 6 \leq x \leq 10

More can be learned about piece-wise functions at brainly.com/question/24734454

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6 0
1 year ago
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