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
Tcecarenko [31]
3 years ago
8

Find the two smallest possible solutions to part 1a​

Mathematics
2 answers:
bixtya [17]3 years ago
7 0
<h3>Answer: A. 5/12, 25/12</h3>

============================

Work Shown:

12*sin(2pi/5*x)+10 = 16

12*sin(2pi/5*x) = 16-10

12*sin(2pi/5*x) = 6

sin(2pi/5*x) = 6/12

sin(2pi/5*x) = 0.5

2pi/5*x = arcsin(0.5)

2pi/5*x = pi/6+2pi*n or 2pi/5*x = 5pi/6+2pi*n

2/5*x = 1/6+2*n or 2/5*x = 5/6+2*n

x = (5/2)*(1/6+2*n) or x = (5/2)*(5/6+2*n)

x = 5/12+5n or x = 25/12+5n

these equations form the set of all solutions. The n is any integer.

--------

The two smallest positive solutions occur when n = 0, so,

x = 5/12+5n or x = 25/12+5n

x = 5/12+5*0 or x = 25/12+5*0

x = 5/12 or x = 25/12

--------

Plugging either x value into the expression 12*sin(2pi/5*x)+10 should yield 16, which would confirm the two answers.

Mkey [24]3 years ago
4 0

Answer:

a

Step-by-step explanation:

12sin(⅖pi x) + 10 = 16

sin(⅖pi x) = 6/12

⅖pi x = sin^-1(½)

⅖pi x = pi/6, pi - pi/6

⅖pi x = pi/6, 5pi/6

x = 5/12, 25/12

You might be interested in
Jane Martin-Smith and her husband deposited $500 in an account on their wedding day and each subsequent anniversary. The money w
PolarNik [594]

Answer:

On their 25th anniversary, their account will have $850

Step-by-step explanation:

7% per year for 25 years is 170%

170% of 500 is 850

I hope this helps!

8 0
3 years ago
Read 2 more answers
Plzzzzzzzzzzzzzzzzzzzzzzzzzz help quick
SCORPION-xisa [38]
It is C, because the x values between the first dot and the second is 4. So you multiply the slope 4 times on the y value. The y value changes from -2 to -5, so -2 + 4*-3/4 should be equal to -5
5 0
3 years ago
Please answer this question fast in two muintues
djyliett [7]

Answer:

W

Step-by-step explanation:

W is the vertex, you can see the letter above the angle

4 0
3 years ago
Read 2 more answers
How many 1/2-inch binders will fit on a shelf that is 30 inches long?
malfutka [58]
15 divide 30 by 2 and you have your answer

4 0
3 years ago
Oliver works 5 days a week. He drives 53 kilometres each day and walks a total of 25 kilometres over the week: He uses the follo
nikklg [1K]
I think it’s 36 but I’m not good at math so don’t count me on it
7 0
2 years ago
Other questions:
  • Favorite basketball player qualitive or quantitative
    10·2 answers
  • Noel bought a 10 ounce box of cereal for $1.63 What was the cost per ounce?
    11·1 answer
  • Test points for the intervals are shown. Select the test points that make the inequality true. x = –5 x = –3.5 x = 0 x = 5
    15·2 answers
  • Inverse of f(x) = x2 − 9
    6·2 answers
  • Solve for x. -5&lt;2x+1&lt;-1
    8·1 answer
  • A group of friends go to a local fair. Jason spends $3.75. My has spent three times as much as Jason. Tia spend $5.25 more than
    5·1 answer
  • Who to tell if the question is rational or irrational
    6·1 answer
  • The sum of two numbers is 24. Their difference is 15. What are the two numbers?
    15·1 answer
  • May someone one hlrp
    9·1 answer
  • X 3) Find the product of 3 x 4 2/3 * O 18 3/4 O 12 6/3 or 14 o 71/2 (0) 14​
    10·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!