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jarptica [38.1K]
2 years ago
5

What is the perimeter of AEB? 16.4 ft 18.5 ft 18.7 ft 22.9 ft

Mathematics
2 answers:
Galina-37 [17]2 years ago
5 0

Answer:

Hence, perimeter of ΔAEB is:

18.5 ft.

Step-by-step explanation:

The perimeter of ΔAEB is given as:

length of side AE+length of side BE+length of side AB.

As side AB║DF hence we will use Triangle Proportionality theorem to calculate the length of side AE.

Since,

\dfrac{AE}{AD}=\dfrac{EB}{BF}

Hence, we have:

\dfrac{AE}{2}=\dfrac{7.8}{2.4}\\\\AE=\dfrac{7.8\times 2}{2.4}\\\\AE=6.5 ft.

Hence, perimeter of ΔAEB is:

6.5+4.2+7.8=18.5 ft.  

( since AE=6.5 ft

BE=7.8 ft

and AB=4.2 ft )

Hence, perimeter of ΔAEB is:

18.5 ft.

dedylja [7]2 years ago
4 0

Answer:

18.5

Step-by-step explanation:

edge2020

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Determine whether each of the following functions is a solution of Laplace's equation uxx + uyy = 0. (Select all that apply.) u
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Answer with Step-by-step explanation:

We are given that Laplace's equation

u_{xx}+u_{yy}=0

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If a  function is solution of given Laplace's  equation then  it satisfy the solution.

1.u=e^{-x}cosy-e^{-y}cosx

Differentiate w.r.t x

Then, we get

u_x=-e^{-x}cosy+e^{-y}sinx

Again differentiate w.r.t x

u_{xx}=e^{-x}cosy+e^{-y}cosx

Now differentiate u w.r.t y

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Again differentiate w.r.t y

u_{yy}=-e^{-x}cosy-e^{-y}cosx

Substitute the values in given Laplace's equation

e^{-x}cosy+e^{-y}cosx-e^{-x}cosy-e^{-y}cosx=0

Hence, given function is a solution of given Laplace's equation.

2.u=sinx coshy+cosx sinhy

Differentiate w.r.t x

u_x=cosx coshy-sinx sinhy

Again differentiate w.r.t x

u_{xx}=-sin x coshy-cosxsinhy

Now, differentiate u w.r.t y

u_y=sinx sinhy+cosx coshy

Again differentiate w.r.t y

u_{yy}=sinx coshy+cosx sinhy

Substitute the values then we get

-sinx coshy-cosxsinhy+sinxcoshy+cosx sinhy=0

Hence, given function is a solution of given Laplace's equation.

4 0
1 year ago
Xavier is buying a new pair of snowshoes. They are regularly $85, but they are on sale for $68. What percent is the markdown?
Mandarinka [93]

Answer:

25%

Step-by-step explanation:

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Mathew got 20 pencils, 3 rulers, 12 erasers,11 pens, 24 notebooks, 8 files, and 11 paper clips from a stationery shop for his br
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89

Step-by-step explanation:He bought 89 items because 20 + 3 is 23, 23 + 12 is 35, 35 + 11 is 46, 46 + 24 is 70, and 70 + 11 is 89.

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2 years ago
Micah is buying items for a birthday party. If he wants to have the same amount of each item, what is the least number of packag
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For us to be able to answer this question the number of the items that  Micah is buying.
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Read 2 more answers
Legalization of marijuana, Part I. The 2010 General Social Survey asked 1,578 US res- idents: \Do you think the use of marijuana
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Answer:

Step-by-step explanation:

a) Sample statistics are used to estimate population value. Since 48% is a sample proportion, therefore, it is a sample statistic.

b) For 95% confidence level, z* = 1.96.

\hat{p}\pm z^* \sqrt{\frac{\hat{p}(1-\hat{p})}{n}}= 0.61\pm 0.61\sqrt{\frac{0.61(1-0.61)}{1578}}=0.61\pm 0.024 \ or (0.586, 0.634).

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c)

\\np=1578(0.61)=962.58

\\n(1-p)=1578(1-0.61)=615.42

Since both np and n(1-p), are at least 10, the normal model is a good approximation for these data.

d) As the lower limit of confidence interval is less than 0.5, less than 50% population is also a plausible value of true proportion. This means the statement "Majority of Americans think marijuana should be legalized" is not justified.

4 0
2 years ago
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