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Nataly_w [17]
3 years ago
11

Find the area of trapezoids. Please!!!!!!!!!!

Mathematics
2 answers:
bogdanovich [222]3 years ago
6 0

Check the picture below.

\bf \textit{area of a trapezoid}\\\\ A=\cfrac{h(a+b)}{2}~~ \begin{cases} a,b=\stackrel{bases}{parallel~sides}\\ h=height \end{cases} \\\\[-0.35em] ~\dotfill\\\\ \stackrel{\textit{left-side trapezoid}}{ \begin{cases} a=2\\ b=5\\ h=3 \end{cases}}\implies A=\cfrac{3(2+5)}{2}\implies A=\cfrac{21}{2}\implies A=10\frac{1}{2} \\\\\\ \stackrel{\textit{right-side trapezoid}}{ \begin{cases} a=1\\ b=4\\ h=3 \end{cases}}\implies A=\cfrac{3(1+4)}{2}\implies A=\cfrac{15}{2}\implies A=7\frac{1}{2}

bulgar [2K]3 years ago
3 0

Blue is 42 and green is 30

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Kim is having a pizza party. Two large pizzas serve 9 people. How many large pizzas should she order to serve 36 guests at the p
Angelina_Jolie [31]
It is 8 because two large can serve 9 and there are 4 9’s that go into 36 so you just have to times 2 and 4 to get 8

2=9
+2
4=18
+2
6=27
+2
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8 large pizzas for 36
(Me personally would eat 8 all by myself)
3 0
2 years ago
Let X be the temperature in at which a certain chemical reaction takes place, and let Y be the temperature in (so Y = 1.8X + 32)
Black_prince [1.1K]

Answer:

See explanation

Step-by-step explanation:

Solution:-

The random variable, Y be the temperature of chemical reaction in degree fahrenheit be a linear expression of a random variable X : The  temperature in at which a certain chemical reaction takes place.

                             Y = 1.8*X + 32

- The median of the random variate "X" is given to be equal to "η". We can mathematically express it as:

                             P ( X ≤ η ) = 0.5

- Then the median of "Y" distribution can be expressed with the help of the relation given:

                             P ( Y ≤ 1.8*η + 32 )

- The left hand side of the inequality can be replaced by the linear relation:

                             P ( 1.8*X + 32 ≤ 1.8*η + 32 )

                             P ( 1.8*X ≤ 1.8*η )   ..... Cancel "1.8" on both sides.

                            P ( X ≤ η ) = 0.5 ...... Proven

Hence,

- Through conjecture we proved that: (1.8*η + 32) has to be the median of distribution "Y".

b)

- Recall that the definition of proportion (p) of distribution that lie within the 90th percentile. It can be mathematically expressed as the probability of random variate "X" at 90th percentile :

                             P ( X ≤ p_.9 ) = 0.9 ..... 90th percentile

- Now use the conjecture given as a linear expression random variate "Y",

          P ( Y ≤ 1.8*p_0.9 + 32 ) = P ( 1.8*X + 32 ≤ 1.8*p_0.9 + 32 )

                                                 = P ( 1.8*X ≤ 1.8*p_0.9 )

                                                 = P ( X  ≤ p_0.9 )

                                                 = 0.9

- So from conjecture we saw that the 90th percentile of "X" distribution is also the 90th percentile of "Y" distribution.

c)

- The more general relation between two random variate "Y" and "X" is given:

                            Y = aX + b

Where, a : is either a positive or negative constant.

- Denote, (np) as the 100th percentile of the X distribution, so the corresponding 100th percentile of the Y distribution would be : (a*np + b).

- When a is positive,

                   P ( Y ≤ a*p_% + b ) = P ( a*X + b ≤ a*p_% + b )

                                                 = P ( a*X ≤ a*p_% )

                                                 = P ( X  ≤ p_% )

                                                 = np_%        

- When a is negative,

                   P ( Y ≤ a*p_% + b ) = P ( a*X + b ≤ a*p_% + b )

                                                 = P ( a*X ≤ a*p_% )

                                                 = P ( X  ≥ p_% )

                                                 = 1 - np_%        

                                                           

4 0
2 years ago
PLEASE ANSWER TODAY<br><br><br> Express a 10/3 b 7/3 in simplified radical form.
34kurt
I guess this is what you mean     3√a^10      and 3√b^7
4 0
2 years ago
Abby is surveying people in the city about their interest in a new shopping mall. She found that 180 people, or 37.5% of those s
Harlamova29_29 [7]

Step-by-step explanation:

37.5% = 180people

100% = 180/37.5 x 100 = 480

answer: 480 people

Topic: percentage

If you like to venture further, do check out my insta (learntionary) where I regularly post useful math tips! Thank you!

6 0
2 years ago
Answer this ASAP please​
larisa86 [58]

Answer:

V = 339.12 yd^{3}

7 0
3 years ago
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