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Scrat [10]
3 years ago
13

On a boat, a cabin's window is in the shape of an isosceles trapezoid, as shown below. What is the area of the window?

Mathematics
1 answer:
Luba_88 [7]3 years ago
7 0

Answer:

The area of the window will be equal to 195 sq. inches.

Step-by-step explanation:

On a boat, a cabin's window is in the shape of an isosceles trapezoid.

The longer side parallel side is at the bottom.

The top side of the trapezoid is 10 inches and the height is 15 inches and the base of the triangle formed from the height on the right is labeled 3 inches.

So, the bottom parallel side has length of (10 + 3 + 3) = 16 inches.

Therefore, the area of the window will be equal to \frac{1}{2}(10 + 16)15 = 195 sq. inches. (Answer)

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Use the numbers 12 through 17. Place them in the connected circles so that the numbers along each line have a sum of 50. Do this
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Answer:

[13, 15, 17, 16, 12]

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Step-by-step explanation:

Writing a Python code, I got the answers given, reading from left to right to down. For example, for [13, 15, 17, 16, 12], 13 is the top left circle, 15 is the middle right, 17 is the far right, 16 is the bottom left, and 12 is the bottom right

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A coin will be tossed three times, and each toss will be recorded as heads (H) or tails (T). Give the sample space describing al
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Answer:

Sample space:

{HHH, HHT, HTH, HTT, THH, THT, TTH, TTT}

Third toss is heads:

{HHT, HTT, THT, TTT}

First toss is heads, second tails and third heads:

{HTH}

Explanation:

In order to find the sample space we need to write all the possible outcomes from tossing the coin three times.You can start by writting all the possible outcomes for the first toss being a head and finish with all the possible outcomes for the first toss being Tails. The number of elements in the sample space can be found by multiplying the possible outcomes of each toss together, so 2*2*2=8

{HHH, HHT, HTH, HTT, THH, THT, TTH, TTT}

For the third toss being heads we will have one restriction this time. Which is that the third toss is Tails. You can take the elements from the sample space where the third element is a tails. In this case, the number of elements can be calculated by multiplying the possible outcomes for only the first two tosses 2*2=4

{HHH, HHT, HTH, HTT, THH, THT, TTH, TTT}

For first toss is heads, second tails and third heads there is only one possible way for you to get this outcome so there is only one element to this set.

{HTH}

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3 years ago
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Answer:

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Step-by-step explanation:

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