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Anni [7]
2 years ago
14

Sam will place three of his eight model trucks on a shelf. In how many different orders can you please three model trucks on the

shelf
Mathematics
1 answer:
mr Goodwill [35]2 years ago
5 0

Answer: 336 ways

Step-by-step explanation:

Given

Sam has 8 models and he needs to place 3 on a shelf

3 models can be selected out of 8 in ^8C_3 ways

It can further be arranged among themselves in 3! ways

Therefore, total number of ways are

\Rightarrow 3!\times ^8C_3\\\\\Rightarrow 3!\times \dfrac{8!}{3!5!}\\\\\Rightarrow 8\times 7\times 6=336\ \text{ways}

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Given klmn is a trapezoid, kl = mn, m<1 = m<2, lm/kn = 8/9, pklmn = 132. Find: the length of the legs
Ilia_Sergeevich [38]

Answer:

The length of legs lm, mn, and lk is 32 while that of kn is 36.

Step-by-step explanation:

The diagram is attached in the answer.

As both the angles are equal thus the two forms isosceles triangles. This is true because the converse of base angle theorem is applicable here. The theorem clearly states that when a trapezoid is divided by the diagonal, it forms two set of angles where m<1=m<2 and m<lmk=m<nmk

This leads the two set of legs such as

\dfrac{lm}{kn}=\dfrac{8}{9}

Or this could be written as

lm=8x\\kn=9x

Now the remaining two sides are given as

lk=lm as this form an isosceles triangle so

lk=8x

Similarly

mn=lm\\

Or

mn=8x

Now the perimeter is given as

\text{perimeter}=lm+mn+kn+lk\\

Here perimeter is given as 132 so this gives:

\text{perimeter}=lm+mn+kn+lk\\132=8x+8x+8x+9x\\132=33x\\x=\dfrac{132}{33}\\x=4

So the four legs are of length as given below:

lm=8x=8\times 4=32\\mn=8x=8\times 4=32\\lk=8x=8\times 4=32\\kn=9x=9\times4=36

So the length of legs lm, mn, and lk is 32 while that of kn is 36.

6 0
2 years ago
Please help me out!!!!
LuckyWell [14K]

Answer:

the value for x is

11 \sqrt{3}

and the value for y is 11 on the triangle problem we use sin60 to find x and we use tan60 to find y

7 0
2 years ago
Martina's fish tank has 15 liters of water in it. She plans to add 5 liters per minute until the tank has at least 55 liters. Wh
Black_prince [1.1K]

Answer:

every 5 minutes ....

Step-by-step explanation:

3 0
2 years ago
In a study of computer use, 1000 randomly selected Canadian Internet users were asked how much time they spend using the Interne
Dvinal [7]

Answer:

b. Do not reject H0. We do not have convincing evidence that the mean weekly time spent using the Internet by Canadians is greater than 12.7 hours.

Step-by-step explanation:

Given that in a study of computer use, 1000 randomly selected Canadian Internet users were asked how much time they spend using the Internet in a typical week. The mean of the sample observations was 12.9 hours.

H_0: \bar x =12.7\\H_a: \bar x >12,7

(Right tailed test at 5% level)

Mean difference = 0.2

Std error = \frac{6}{\sqrt{1000} } \\=0.1897

Z statistic = 1.0540

p value = 0.145941

since p >alpha we do not reject H0.

b. Do not reject H0. We do not have convincing evidence that the mean weekly time spent using the Internet by Canadians is greater than 12.7 hours.

5 0
3 years ago
PLS HELPPPP MEEE <br> (explain ur answer)
adell [148]

Answer:

<em>(4). is the correct answer</em>

Step-by-step explanation:

(- 3, 1, 1)

(1). - 3 - 1 - 1 ≠ - 2  not an answer...

(2). - 3 - 1 + 3(1) ≠ 2 not an answer...

(3). 4( - 3) + 1 - 3(1) ≠ - 4 not an answer...

<em>(4). 2(- 3) + 3(1) + 4(1) = 1 </em>

<em>3(1) + 3(1) = 6 </em>

<em>- 3 = - 3(1) </em>

7 0
3 years ago
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