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2 years ago

What is the area of this trapezoid? units 2

Mathematics

2 answers:

coldgirl [10]2 years ago

8 0

You’d work out the area of the triangles first so you’d half the base and multiply by the height of it. then multiply that by 2 as there are 2 identical triangles. which gives you 63. then you work out the area of the rectangle which is 90. you then do 90+63 to get 153

Ann [662]2 years ago

7 0

area of trapezoid: 153 units²

Here given information:

height : 9

side 1 : 10

side 2 : 7 + 10 + 7 = 24

trapezium area = $\sf \frac{1}{2}$ * ( side 1 + side 2 ) * height

$\hookrightarrow \sf \dfrac{1}{2} * ( 10 + 24) * 9$

$\hookrightarrow \sf 153 \ units^2$

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SVETLANKA909090 [29]

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-2x+9x
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3 years ago

Read 2 more answers

The digits 5, 7, 1, and 9 are to be used in a roll number in a school. How

svetlana [45]

Answer:

1, 7, 5, 9
7, 1, 9, 5

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Step-by-step explanation:

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3 years ago

We are interested in determining whether or not the variances of the sales at two small grocery stores are equal. A sample of 21

katen-ka-za [31]

Answer:

$F=\frac{s^2_A}{s^2_B}=\frac{28.284^2}{20^2}=1.99996$

Step-by-step explanation:

Data given and notation

$n_A = 21$ represent the sampe size for A

$n_B =16$ represent the sample size for B

$s_A = 28.284$ represent the sample deviation for A

$s_B = 20$ represent the sample deviation for B

$\alpha$ represent the significance level provided

F test is a statistical test that uses a F Statistic to compare two population variances, with the sample deviations s1 and s2. The F statistic is always positive number since the variance it's always higher than 0. The statistic is given by:

$F=\frac{s^2_1}{s^2_2}$

Solution to the problem

System of hypothesis

We want to test if we have the same variation, so the system of hypothesis are:

H0: $\sigma^2_A = \sigma^2_B$

H1: $\sigma^2_A \neq \sigma^2_B$

Calculate the statistic

Now we can calculate the statistic like this:

$F=\frac{s^2_A}{s^2_B}=\frac{28.284^2}{20^2}=1.99996$

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4 years ago

Help please!!!!!...........................

Finger [1]

Answer:

See solution :)

Step-by-step explanation:

Let us first analyse our information given. The question tells us that each person, (i.e. Jamie and Stella) should pay $600 upfront. Thus, our first constraint (lets call it $T$ ) is that any total amount of money must be equal or more than $600, which in maths notation reads:

$T\geq 600$

where $\geq$ means More or Equal to.

We also know that Jamie washes care for $25 dollars and if represented in math notation, we can say that for every car (denoted by) $x$ , Jamie makes $25, thus for Jamie we have:

J: $25x$

Similarly we know that Stella makes pecan pies and for each pie she sells she makes $15, so we can say that for every pecan pie (denoted by) $y$ , Stella makes $15, thus for Stella we have:

S: $15y$

However, we also know that Stella does not have enough supplies for more than 40 pies, which puts a constraint on the amount of money she can make by selling pecan pies. Therefore we can now say that

$15y$ is true, for $y\leq 40$

where $y\leq 40$ is the constraint on Stellas possible profits and $\leq$ means Less or Equal to.

Now lets start answering the questions:

Part 1: Write a constraint (an inequality) to represent how much money Jamie needs for his trip.

Answer: $25x$

*provided that $25x\geq 600$ (in order to make the neccesary profit)

Part 2: Write a constraint (an inequality) to represent how much money Stella needs for her trip.

Answer: $15y\geq600$ and $y\leq40$

Part 3: Write a constraint (an inequality) to represent the relationship between Jamie's earnings and Stella's earnings.

Answer: Since Stella can not make more than 40 pies, the solution intersection between Jamie and Stella is $y\geq 40$ (Jamie) ∩ $y\leq40$ (Stella), thus y=40.

Part 4: Can Stella afford to sign up for the trip with the money she earns? Explain your answer and show any work that might support your answer.

Answer: We know that Stella's pie making is denoted by $15y$ , and the total amount needed for the trip upfront is denoted by $T\geq 600$ therefore to find if Stella can afford to sign up, we need to find the amount of pies Stella needs to produce, in order to make a profit of at least $600. Thus we write:

$15y\geq 600\\y\geq \frac{600}{15}\\ y\geq 40$

Since the number of pies Stella needs to make, to gain a profit of $600 is 40 pies, and we know that Stella can make a maximum of 40 pies with the supplies she already has, we can conclude that Stella can make the necessary money to make her trip to Washington!

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3 years ago

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Angelina_Jolie [31]

Answer:

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3 years ago