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
mars1129 [50]
3 years ago
8

Find the value of each variable. x = and y =

Mathematics
2 answers:
pychu [463]3 years ago
8 0

Answer:

x = 16

y = 27.7

Step-by-step explanation:

solving for x: use sine

sine = \frac{opposite}{hypotenuse}

⇒ sine 30 = \frac{x}{32}

sine of 30 is 0.50

⇒ 0.50 = \frac{x}{32}

multiply 32 on both sides:

⇒ 0.50 x 32 = \frac{x}{32} x 32

solve:

⇒ 16 = x

solving for y: use cosine

cosine = \frac{adajcent}{hypotenuse}

⇒ cosine 30 = \frac{y}{32}

cosine of 30 is 0.866

⇒ 0.866 = \frac{y}{32}

multiply 32 on both sides

⇒ 0.866 x 32 = \frac{y}{32} x 32

solve:

⇒ 27.7 = y

alex41 [277]3 years ago
4 0

Answer:

x = 16

y = 16√3

Step-by-step explanation:

sin(30 degrees) = 1/2

x = 32/2 = 16

cos(30 degrees) = √3/2

y = 16√3

You might be interested in
568n + 230<br> Which best describes the constant in the expression?
ICE Princess25 [194]

Answer:

568

Step-by-step explanation:

the steps are simple u are an idiot

6 0
3 years ago
Read 2 more answers
PLZ HELP!!!!!!!!!!!!!!!!!!!
nordsb [41]
Points Q and R :) :)
8 0
3 years ago
What is the equation of a line with a slope of 4 and a y-intercept of 2?
Trava [24]

Answer:

y=4x+2 or f(x)=4x+2

Step-by-step explanation:

This is because the equation format for a line is y=mx+b, the slope is m and the y-intercept is b. So all you have to do is fill it out to get y=4x+2. Or the other way I listed the equation is right too. Hope this helps!

6 0
3 years ago
Read 2 more answers
Sherri got a new job as a teacher for the local school. Her rent is going to be 40% of her income, she will save 10% each month,
Xelga [282]

Answer:

The mistake she is making is that she is making less than she is spending

Step-by-step explanation:

Step 1: Determine her total income

Let her total income be x

Step 2: Determine amount of each expense

The amount of each expense can be expressed;

Amount of each expense=percentage of total expense×total income

a). Rent

percentage expense on rent=40%

total income=x

Amount of rent=(40/100)×x=0.4 x

b). Savings

percentage expense on savings=10%

Amount of savings=(10/100)×x=0.1 x

c). Fixed expenses

percentage fixed expense=40%

Amount of fixed expenses=(40/100)×x=0.4 x

d). Flexible expenses

percentage flexible expense=20%

Amount of flexible expenses=(20/100)×x=0.2 x

Step 3: Calculate total expenses

Total expenses=Amount of flexible expenses+fixed expenses+amount of savings+amount of rent

replacing;

Total expenses=(0.2 x+0.4 x+0.1 x+0.4 x)=1.1 x

Step 4: Get remaining amount of her income

Net income=(x-1.1 x)=-0.1 x

This means that her expenses exceed her income by -0.1 x. The mistake she is making is that she is making less than she is spending

5 0
3 years ago
The table below shows some input and output values for a function named F(n). Which of the following equations describes F(n)?
Klio2033 [76]
It looks like it would be C, but I'm not sure 
6 0
3 years ago
Read 2 more answers
Other questions:
  • Sin6.0 divide 73 degrees times 54
    15·1 answer
  • A spinner with nine equal-sized sections numbered one to nine is spun once. What is the probability that the spinner will land o
    5·1 answer
  • What is the value of x?<br><br> Enter your answer in the box.<br> x =
    5·1 answer
  • For what value of x must ABCD be a parallelogram?<br><br> Picture below*
    15·1 answer
  • Which group of american indians inhabited georgia for approximately 800 years, just before europeans arrived in georgia?​
    14·1 answer
  • Help!! What is the area?
    6·2 answers
  • Find the slope given<br> the ordered pairs:<br> (-3,-2) and (-3,-5)
    11·1 answer
  • What is the answer to 4÷8/12
    15·1 answer
  • Evaluate the expression (14 − 4)2 ÷ 10.<br><br> The value of the expression is value of
    15·1 answer
  • Identify the trinomial that is a perfect square. ​
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!