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
ra1l [238]
3 years ago
8

Find all solutions to the equation:

Mathematics
1 answer:
crimeas [40]3 years ago
7 0

Let z = sin(x). This means z^2 = (sin(x))^2 = sin^2(x). This allows us to go from the equation you're given to this equation: 7z^2 - 14z + 2 = -5

That turns into 7z^2 - 14z + 7 = 0 after adding 5 to both sides. Use the quadratic formula to solve for z. The only solution is z = 1 (see attached image). Since we made z = sin(x), this means sin(x) = 1. All solutions to this equation will be in the form x = (pi/2) + 2pi*n, which is the radian form of the solution set. If you need the degree form, then it would be x = 90 + 360*n

The 2pi*n (or 360*n) part ensures we get every angle coterminal to pi/2 radians (90 degrees), which captures the entire solution set.

Note: The variable n can be any integer.

You might be interested in
El equivalente de 4/6 ​
Diano4ka-milaya [45]
La respuesta es 2/3!
6 0
2 years ago
How do i find the volume in a 3d shape
IrinaVladis [17]

It depends on the shape

Use this:

:)

8 0
3 years ago
Click an item in the list or group of pictures at the bottom of the problem and, holding the button down; drag it into the corre
Alex777 [14]
8x^3 -5x^2 + 8x + 9+5x^3 + 3x^2 - 5x + 4 = 
8x^3+5x^3-5x^2 + 3x^2+ 8x - 5x+ 9<span>+ 4 = </span>
13x^3-2x^2+3x+13
3 0
3 years ago
Is 5 and 45/9 a rational number
Inga [223]

Answer:

Yes

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
Please helpppppp
melomori [17]

Given Information:

Years = t = 35

Semi-annual deposits = P = $2,000

Compounding semi-annually  = n = 2

Interest rate = i = 6.5%  

Required Information

Accumulated amount  = A = ?

Answer:

Accumulated amount  = $515,827

Step-by-step explanation:

The future value of amount earned over period of 35 years and interest rate 6.5% with semi-annual deposits is given by

FV = PMT * ((1 + i/n)^nt - 1)/(i/n))

Where  

n = 2

i = 0.065

t = 35

FV = 2000*((1 + 0.065/2)^2*35 - 1)/(0.065/2))

FV = 2,000*(257.91)

FV ≈ $515,827

Therefore, Anthony will have an amount of $515,827 when he retires in 35 years.

6 0
3 years ago
Other questions:
  • At a local pizza parlor, patrons have 3 choices of cheese and 5 choices of meat. In how many different ways can a patron choose
    6·1 answer
  • Help please been stuck on this
    5·1 answer
  • If (-3, y) lies on the graph of y = (1/2)x, then y =
    11·2 answers
  • Part of a hundredths grid is shown.
    11·1 answer
  • Rewrite x5/6 divided by x1/6 in simplest radical form
    11·1 answer
  • Eli walk from her house to a friends house in one hour. She can travel the same Distance on her bicycle in 15 minutes. If she ri
    6·1 answer
  • Whats the unit rate 140 mi in 3.5 h
    14·2 answers
  • NEED HELP!!! Answer all of the questions below you will see a link, I would give thanks to anyone that can do this:) If anybody
    9·1 answer
  • If f(x) = 3x2 + 1 and g(x) = 1 – x, what is the value of (f – g)(2)?
    12·1 answer
  • Please answer this question and show work, Thank you!
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!