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diamong [38]
3 years ago
9

Find the area of the trapezoid.

Mathematics
2 answers:
solong [7]3 years ago
5 0
Add top and bottom number, divide by 2 then multiply by the height:

18 +6 = 24

24/2 = 12

 12 * 12 = 144 square inches

Vadim26 [7]3 years ago
4 0
Area of the trapezium = 1/2(18 + 6) x 12
Area of the trapezium = 144 in²

------------------------------------------------
Answer: Area = 144 in²
------------------------------------------------
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What is axis of symmetry?​
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Answer:

The axis of symmetry of a parabola is a line about which the parabola is symmetrical. When the parabola is vertical, the line of symmetry is vertical. When a quadratic function is graphed in the coordinate plane, the resulting parabola and corresponding axis of symmetry are vertical.

Step-by-step explanation:

3 0
3 years ago
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From a group of 5 candidates, a committee of 2 people is selected. In how many different ways can the committee be selected?
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A,B,C,D,E

AB, AC, AD, AE
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Five cards are dealt from a standard 52-card deck. (a) What is the probability that we draw 1 ace, 1 two, 1 three, 1 four, and 1
labwork [276]

Answer:

Step-by-step explanation:

As there are total 52 cards in a deck and we have to draw a set of 5 cards, we can use the formula of combination to find the total number of possible ways of drawing 5 cards.

Number of ways to draw 5 cards = N_T

N_T\;=\;({}^NC_k)\\\\N_T\;=\;({}^{52}C_5)\\\\N_T\;=\;2,598,960

(a) Assuming the cards are drawn in order (would not affect the probability). The of getting Ace, 2, 3, 4 and 5 can be obtained by multiplying the probability of getting cards below 6 (20/52) with the probability of getting 5 different cards (4 choices for each card).

P(a)\;=\;\frac{20}{52}*\frac{4}{52}*\frac{4}{51}*\frac{4}{50}*\frac{4}{49}*\frac{4}{48}\\\\P(a)\;=\; 1.3133*10^{-6}

(b) For a straight we require our set to be in a sequence. The choices for lowest value card to produce a sequence are ace, 2, 3, 4, 5, 6, 7, 8, 9, or 10. Hence, the number of ways are ({}^{10}C_1).

For each card we can draw from any of the 4 sets. It can be described mathematically as: ({}^{4}C_1)*({}^{4}C_1)*({}^{4}C_1)*({}^{4}C_1)*({}^{4}C_1)\;=\;[({}^{4}C_1)^5]

Therefore, the total outcomes for drawing straight are:

N_S\;=\;({}^{4}C_1)*({}^{4}C_1)^5\;=\;10240

Thus, the probability of getting a straight hand is:

P(b)\;=\;\frac{N_S}{N_T}\\\\P(b)\;=\;\frac{10240}{2598960}\\\\P(b)\;=\; 0.0039

7 0
3 years ago
Richard has a rectangular plot of land that is 525 feet long and y feet wide. He decides to build a fence around the plot. If th
mart [117]

Answer:

Step-by-step explanation:

P= 2(L) + 2(w)

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1540 - 1050= 2(w)

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4 years ago
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Question 4 of 5
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Answer: The graph crosses the x-axis at x = 2.

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The root has a multiplicity of 3, meaning that it crosses the x axis at x=2.

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