All categories

3 years ago

△ABC∼△LMN , AB is 8 inches, BC is 14 inches, and LM is 12 inches. What is MN ?

Mathematics

2 answers:

babunello [35]3 years ago

8 0

16 might be your answer if not I am truly dearly sorry

ella [17]3 years ago

7 0

Similar triangles have side lengths that are proportional.
We setup a proportion using the given information.

AB/LM = BC/MN

8/12 = 14/MN

8(MN) = 12 * 14

8(MN) = 168

MN = 168/8

MN = 21

You might be interested in

Lana finished the race in 13.2 seconds . If 84 other girls ran in the event, approximately how many runners did she beat?

BabaBlast [244]

Complete question :

The 100m dah times in the girl's track meet were normally distributed with a mean of 13 seconds and a standard deviation of 0.3 seconds.

Lana finished the race in 13.2 seconds . If 84 other girls ran in the event, approximately how many runners did she beat?

Answer:

21 runners

Step-by-step explanation:

Mean, μ = 13 seconds

Standard deviation, σ = 0.3

Lana's race time = 13.2

We find the proportion of runners who had race time above 13.2 ;

Proportion of who had race tune above 13.2

P(x > 13.2)

Obtain the Zscore

Zscore = (x - μ) / σ

Z = (13.2 - 13) / 0.3

Zscore = 0.2 / 0.3 = 0.6667

P(Z > 0.6667) = 0.25239 (Z probability calculator)

This is about 0.25239 * 100 = 25.24% = 25% (nearest percent)

Hence, Number of runners Lana beat = 25% of total runners ;

0.25 * 84 = 21

Hence, Lana beat about 21 runners

6 0

3 years ago

What is the volume of the cylinder?

Elenna [48]

Answer:

Option D. $882\pi\ units^{3}$

Step-by-step explanation:

we know that

The volume of the cylinder is equal to

$V=\pi r^{2}h$

In this problem we have

$r=7\ units$

$h=18\ units$

substitute

$V=\pi (7^{2})(18)=882\pi\ units^{3}$ -----> exact value of the volume

5 0

4 years ago

Lia must work at least 5 hours per week in her family's restaurant for $8 per hour. She also does yard work for $12 per hour. Li

agasfer [191]

Answer:

Step-by-step explanation:

let r= number of hours worked at the restaurant

y=number of work hours in the yard

Maximum number of work per week=r+y ≤ 15

Lia must work at least 5 hours in the restaurant

x ≥ 5

Lia wants to earn at least $120 $8/hr in the restaurant and $12/hr in the yard:

8r + 12y ≥ 120

What is the maximum of hours Lia can work in the restaurant and still make at least 120 hours?

Assume Lia worked all 15 hours in the restaurant

she would earn $8*15hours = $120.

The maximum number of hours she can work in the restaurant is therefore 15 hours

What is the maximum amount of money Lia can earn in a week?

Lia has to work a minimum of 5 hours in the restaurant. She earns more from yard work, so she should devote the rest of her available work hours to yard work.

That means that, given her 15 hour work limit, she will maximize her income by working 5 hours in the restaurant and 10 hours in the yard.

5r+10y

5*8 + 10*12

= 40 + 120

= $160

6 0

3 years ago

Suppose a company needs temporary passwords for the trial of a new payroll software. Each password will have one digit followed

Alekssandra [29.7K]

Answer: The required number of passwords that can be created is 175760.

Step-by-step explanation: Given that a company needs temporary passwords for the trial of a new payroll software.

Each password will have one digit followed by three letters and the letters can be repeated.

We are to find the number of passwords that can be created using this format.

For the one digit in the password, we have 10 options, 0, 1, 2, 3, 4, 5, 6, 7, 8 and 9.

Since there are 26 letters in English alphabet and letters can be repeated, so the number of options for 3 letters is

26 × 26 × 26 = 17576.

Therefore, the total number of ways in which passwords can be created using the given format is

$n=9\times17576=175760.$

Thus, the required number of passwords that can be created is 175760.

3 0

3 years ago

rail fares go up by 10%, and josie’s new season ticket to london costs £1342. calculate how much more she has to pay now than sh

Naya [18.7K]

Answer:

£134.2 more

Step-by-step explanation:

Divide 1342 by 100

Then you get 13.42

Times that by 10 and £134.2 is 10%

6 0

2 years ago

△ABC∼△LMN , AB is 8 inches, ​ BC ​ is 14 inches, and LM is 12 inches. What is ​​ MN ?

△ABC∼△LMN , AB is 8 inches, BC is 14 inches, and LM is 12 inches. What is MN ?