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
Nuetrik [128]
3 years ago
12

Some help figuring out the answer?? Also explain a little how you got there

Mathematics
1 answer:
ipn [44]3 years ago
6 0

9514 1404 393

Answer:

  x = 10·cos(θ) -4·cot(θ)

Step-by-step explanation:

Apparently, we are to assume that the horizontal lines are parallel to each other.

The relevant trig relations are ...

  Sin = Opposite/Hypotenuse

  Cos = Adjacent/Hypotenuse

If the junction point in the middle of AB is labeled X, then we have ...

  sin(θ) = 4/BX   ⇒   BX = 4/sin(θ)

  cos(θ) = x/XA   ⇒   XA = x/cos(θ)

Then ...

  BX +XA = AB = 10

Substituting for BX and XA using the above relations, we get

  4/sin(θ) +x/cos(θ) = 10

Solving for x gives ...

  x = (10 -4/sin(θ))·cos(θ)

  x = 10·cos(θ) -4·cot(θ) . . . . . simplify

_____

We used the identity ...

   cot(θ) = cos(θ)/sin(θ)

You might be interested in
What is the height of a rectangle<br> whose base is 40 inches and whose<br> diagonal is 41 inches?
romanna [79]

Answer:

You must draw a right triangle and label the hypotenuse as 41 and the longest leg (horizontal in this case, since we are to determine the height) as 40. We do not know the height so call it h.

Now the Pythagorean (sp /) Theorem states that the square of the hyp. is equal to the sum of the squares of the two legs.

so, 41 ^ 2 = 40 ^ 2 + h ^ 2

41 ^ 2 = 1681   40 ^ 2 = 1600     Therefore h ^2 must be equal to 81.   This means that h = 9.

The height is 9 inches.

Step-by-step explanation:

mark me as brainliest pls :)

~Alex

7 0
3 years ago
Read 2 more answers
Find the volume of the cylinder
posledela

Answer:

I nk a ......................

8 0
3 years ago
Solve the equation x2+6x+8=0?
Aleksandr-060686 [28]

Answer:

28 , 28, -14

Step-by-step explanation:

x2+6x+8=0

4(2)+6(2)+8=0

8+12+8=0

28=0

x2+6x+8=0

-4(2)+6(2)+8=0

8+12+8=0

28=0

x2+6x+8=0

-8(2)+6(-1)+8=0

-16-6+8

-14=0

3 0
3 years ago
A regular polygon has 10 sides. What is the measure of each interior angle of the polygon?
zysi [14]

Answer:

144 = each interior angle

Step-by-step explanation:

The sum of the interior angles of a regular polygon is

(n – 2)180

If it is regular with n sides, divide by n to find each interior angle

(n – 2)180

------------------- = each interior angle

n

We know that there are 10 sides so n = 10

(10 – 2)180

------------------- = each interior angle

10

(8)180

------------------- = each interior angle

10

144 = each interior angle

6 0
3 years ago
What is the slope of the line represented by the equation y = 4/5 x - 3?
kirill [66]

this equation is in slope intercept form following the template of y=mx+b

because m is your slope, looking at the corresponding parts tells you 4/5 is the slope

4 0
3 years ago
Read 2 more answers
Other questions:
  • It took 12 gallons of gas to fill the tank of the family car. This is five sixths of the amount the tank can hold. How much gas
    12·1 answer
  • Help please see the pictures
    5·1 answer
  • : student council is selling tickets to the fall ball dance. Tickets cost $6.00 per person , or $10 per couple. To cover the exp
    13·1 answer
  • A balance sheet shows beginning values of $56,300 for current liabilities and$289,200 for long-term debt. The ending values are
    7·1 answer
  • The axis of symmetry for a quadratic equation can be found using the formula x =-b/2a , where a and b are coefficients in the qu
    7·2 answers
  • What is the equation of the line?
    11·1 answer
  • Please help me someone ASAP
    14·1 answer
  • The volume of a rectangular prism can be represented by the expression 216x^3y^2. If the length is 8 y and the width is 9 x , wh
    8·1 answer
  • Susan worked 5 out of 8 hours during the day what percentage of the day does she work
    7·2 answers
  • Omg I need help on this
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!