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
Brut [27]
3 years ago
9

Find the value of the variable.

Mathematics
1 answer:
shepuryov [24]3 years ago
8 0

Answer:

x = 8.66

y = 10

Step-by-step explanation:

Okay first of all write out sin cos tan. SOH-CAH-TOA

Solve for x : Reference angle is 60. x is the opposite angle. 5 is adjacent. We can conclude that we need to use TAN since it deals with opposite and adjacent.  Now write out the equation. tan(60) = x/5.

To get x alone multiply both sides by 5 so we have tan(60)*5  = x

That would be equal to 8.66. Make sure to use degree and not radiant when using calculator.

Solve for y. Ref angle : 60, Adjacent is 5 and y is hypotenuse.  We can conclude we need to use Cos.

cos(60) = 5/y. If the variable is in the denominator we can just flip places of y and cos(60). We are left with y = 5/cos(60). Now use a calculator for this and use degree. We will get the answer as 10.

You might be interested in
Use (pemdas) what is 3 x 7 - 25 / 5 write 3 steps
Reil [10]

Answer:

16

Step-by-step explanation:

step 1: 3 x 7 = 21

so you're left with this 21-25/5

step 2: 25/5=5

left with 21-5

step 3: 21-5=16

16 should be the right answer, sorry if i'm wrong

3 0
3 years ago
Read 2 more answers
Gavin rolls a fair dice 48 times.<br> How many times would Gavin expect to roll an even number?
pantera1 [17]

Answer: The number of times Gavin expect to roll an even number =24

Step-by-step explanation:

Given: Numbers of a fair dice = 1, 2, 3, 4, 5, 6

even numbers = 2, 4, 6

odd numbers = 1, 3, 5

Probability of getting an even number = \dfrac{3}{6}=\dfrac12

If Gavin rolls a fair dice 48 times.

Then, the number of times Gavin expect to roll an even number = 48\times\dfrac12=24

Hence, the number of times Gavin expect to roll an even number =24

6 0
2 years ago
Find RSQ and TSQ I will Brainliest
timofeeve [1]
RSQ = 32
TSQ = 58
X = 5

Hope this helps!!!!
7 0
3 years ago
Read 2 more answers
An agency has 4,000 employees. 2,000 employees have at least two years of college education. 1,000 of those employees have bache
weqwewe [10]

Answer:

1/80 of the agency's employees have PhDs.

Step-by-step explanation:

Given that:

Total number of employees = 4000

Number of employees with bachelors degree = 1000

Fraction of employees with graduate degree = 1/4 of 1000 = 250

1/5 of the employees with graduate degrees have PhD.

Number of employees with PhDs = 1/5 of 250 = 50

Now,

Fraction of PhD employees to total employees = \frac{50}{4000} = \frac{1}{80}

Hence,

1/80 of the agency's employees have PhDs.

5 0
3 years ago
Two numbers add up to 102 and the first is 8 bigger than the second. What are the two numbers?
lorasvet [3.4K]
The correct numbers are 55 and 47, because they have a difference of 8 and a sum of 102.
4 0
3 years ago
Read 2 more answers
Other questions:
  • What is the product (7x10^-5)x(5x10^-8) in scientific notation
    7·1 answer
  • How much dimes are in 5 dollars
    9·1 answer
  • Help me solve this question please
    8·1 answer
  • What is the slope of the line?
    8·2 answers
  • Plz help me asap plzzzzz<br>.<br>.
    14·1 answer
  • Sam will rent a car for the weekend. He can choose one of two plans. The first plan has an initial fee of $41.98 and costs an ad
    10·1 answer
  • 25 points please answer all 4 problems
    5·1 answer
  • Taylor bought a painting for 1 million yen while in Japan. At the time, exchange rate was 1 dollar to 126 yen. If a friend offer
    7·1 answer
  • What is 3 miles and 4,221 feet divided
    8·1 answer
  • McKenzie spilled 22 pints of water in 4 days. Avery collected 14 pints of water in 3 days . How many pints did each of them lose
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!