1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
zubka84 [21]
3 years ago
12

Find the value of each variable

Mathematics
1 answer:
ohaa [14]3 years ago
6 0

9514 1404 393

Answer:

  11.  x = 13, y = 13√2

  12.  x = 8, y = 4√3

  13.  x = 14√3, y = 7√3

  14.  x = y = 11√2

  15.  x = 12√2, y = 12, z = 12√3

Step-by-step explanation:

The ratios of side lengths in the "special" triangles are (shortest to longest)

  1 : 1 : √2 . . . . . isosceles right triangle

  1 : √3 : 2 . . . . 30°-60°-90° triangle

These ratios make answering these questions much easier.

__

11. 13 : x : y = 1 : 1 : √2

  x = 13, y = 13√2

__

12. 4 : y : x = 1 : √3 : 2

  x = 8, y = 4√3

__

13. y : 21 : x = 1 : √3 : 2

  y = 21/√3 = 7√3

  x = 14√3

__

14. x : y : 22 = 1 : 1 : √2

  x = 22/√2 = 11√2

  x = y = 11√2

__

15. Let 'a' represent the altitude. Then we have ...

  a : z : 24 = 1 : √3 : 2

  a = 12, z = 12√3

and ...

  a : y : x = 1 : 1 : √2

  y = 12, x = 12√2

_____

<em>Additional comment</em>

It is worth remembering that 1/√n = (√n)/n. This is useful when you have to divide by √2 or √3 in the above problems.

You might be interested in
What would 672,831 be rounded to the nearest hundred
maks197457 [2]

Answer:

672,800

Step-by-step explanation:

672,800 672800

8 0
3 years ago
What’s the answer for 6x + 5 = 2x -15 ?
lakkis [162]

Answer:

x=-5

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
A line passes through the point (2, 3) and has a slope of -2. Which is the equation of the line in point-slope form?
Lelu [443]
The equation of the line would be y=-2x+9

5 0
3 years ago
8. Ally bikes 4 5/8miles in 3/8 of an hour.<br> What is the unit rate at which Ally is biking?
Katena32 [7]

Answer:12.33

Step-by-step explanation:

5 0
3 years ago
Two Physics classes at Jefferson High School took the same quiz. Mr. Spears had 20 students in his class with a mean score of 80
andriy [413]

Answer:

The mean score for all students on the quiz was 86.

Step-by-step explanation:

This question is solved by a weighed average.

To find the weighed average, we add the values multiplied by their weight, and after that we divide by the sum of weights.

In this problem, we have that:

Mr. Spears had 20 students in his class with a mean score of 80.

So 80 has a weight of 20.

Mrs. Guyton's class of 30 students had a mean score of 90.

So 90 has a weight of 30.

Overall, what was the mean score for all students on the quiz

M = \frac{80*20 + 90*30}{20 + 30} = 86

The mean score for all students on the quiz was 86.

4 0
3 years ago
Other questions:
  • Use the distributive property to write 35 + 15 as a sum with no common factors
    9·1 answer
  • The original price af a shirt is $120, the percent of decimal is %80 what is that sale price?
    9·1 answer
  • Which of the following statements is true about 63 and 20?
    9·2 answers
  • What is the greatest common factor 18, 42 and 24,30 and 24,36
    14·2 answers
  • What is the area of the rhombus shown below?
    9·2 answers
  • Strep throat is caused by Streptococcus bacteria. The amount of bacteria multiplies at a rate of 10^13 per 10^2 hours. Part B Wh
    10·1 answer
  • Someone pls help me :((((
    15·1 answer
  • HELPPPPPPPPPP :(
    7·1 answer
  • Can anyone help me out? I’ll give Brainly! Thank you :)
    6·1 answer
  • Can anyone explain this to me?
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!