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
Bond [772]
2 years ago
14

Determine the value of each variable in the figure below. Keep answers in simplest radical form.

Mathematics
1 answer:
Tanzania [10]2 years ago
7 0

Answer:

  a = 21

  b = 63

  c = 42√3

  d = 21√3

Step-by-step explanation:

The sides of a 30°-60°-90° triangle have the ratios 1 : √3 : 2. The given side (42) is the longest side of the smallest triangle, and the shortest side of the largest triangle.

That means the other sides of the smallest triangle will be ...

  a = 42/2 = 21

  a+b = 2(42) = 84

  b = (a+b) -a = 84 -21 = 63

  d = 21√3 . . . . middle-length side of the smallest triangle

  c = 42√3 . . . . middle-length side of the largest triangle

The values of the variables are ...

  • a = 21
  • b = 63
  • c = 42√3
  • d = 21√3

You might be interested in
You keep a record of all transactions in your checking account, including checks written, deposits made, fees paid, ATM withdraw
kaheart [24]

Answer:

b

Step-by-step explanation:

8 0
2 years ago
S = 2lw + 2wh + 2lh; solve for l
Pavel [41]

Answer:

l = (S - 2wh)/(2w + 2h)

Step-by-step explanation:

S = 2lw + 2wh + 2hl

S - 2wh = 2lw + 2hl

S - 2wh = l (2w + 2h)

(S - 2wh)/(2w + 2h) = l

4 0
3 years ago
Need help ASAP!!!!!!
Mnenie [13.5K]

Answer:

Mean = 2.95

Median = 3

Step-by-step explanation:

The mean of the number of visits of 40 adults to the gym is

\dfrac{0\cdot 4+1\cdot 3+2\cdot 12+3\cdot 5+4\cdot 8+5\cdot 5+6\cdot 2+7\cdot 1}{40}=\\ \\=\dfrac{3+24+15+32+25+12+7}{40}=\dfrac{118}{40}=2.95

The median of the data is the average number between 20th and 21th terms (because 40 is even number, so the middle term is the average between two middle terms).

20th term = 3 visits

21th term = 3 visits

Hence, median is 3 visits

6 0
3 years ago
Can someone help me with this question please. its urgent. the question is attached
aalyn [17]
For 5, what is happening is all the points shift down negative 2 on the Y axis and then flip over the x axis.

For 6, it would flip over the Y axis and start at positive 1 x the opposite
6 0
2 years ago
9 2/3 as whole number
trapecia [35]

Answer:

Step-by-step explanation:

9 is a whole number 2 surge of 1 is 66 answer to 9.66

3 0
2 years ago
Other questions:
  • QS and TV are parallel lines
    11·1 answer
  • Find the value of x. 6x+5 11x
    6·2 answers
  • Factor 3/4 out of 3/4z+6
    14·1 answer
  • A triangle that contains angles of 35°, 90°, and 55° is a(n) _______ triangle. A. right B. acute C. obtuse D. equiangular
    15·2 answers
  • Hi, could someone give me the correct answer i really need it and i'd appreciate it so much. Can anyone please help?
    9·1 answer
  • Maria has c boxes of 10 pencils. The teacher gives her another 20 pencils. How many pencils does she have altogether?
    10·2 answers
  • What is the answer to -0.8x+40-8x-35
    11·2 answers
  • If two sides of a rectangle are 5 units and 9 units, what is the perimeter?
    10·1 answer
  • Help!!!!!!!!!!!!!!!
    7·1 answer
  • The graph shows the translation, g(x), of the function f(x). What integer represents the horizontal translation of f(x) to g(x)?
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!