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
dybincka [34]
2 years ago
12

Angles α and β are the two acute angles in a right triangle. Use the relationship between sine and cosine to find the value of β

if β > α.
sin(x/2+20)=cos(2x-25/2)


A) 25°
B) 33°
C) 36.5°
D) 53.5°

HINT: Sine and cosine of complementary angles are related
Mathematics
1 answer:
igomit [66]2 years ago
5 0

Answer:

D) 53.5°

Step-by-step explanation:

Sine and cosine of complementary angles are equal:

sin θ = cos(90 − θ)

sin(x/2 + 20) = cos(2x − 25/2)

cos(90 − (x/2 + 20)) = cos(2x − 25/2)

90 − (x/2 + 20) = 2x − 25/2

90 − x/2 − 20 = 2x − 25/2

165/2 = 5x/2

5x = 165

x = 33

x/2 + 20 = 36.5

2x − 25/2 = 53.5

Since β > α, β = 53.5°.

You might be interested in
Is the number 5 is a prime or a composite
iris [78.8K]

Answer:

It’s prime

Step-by-step explanation:

Numbers between 2 and 31 are since these only have 1 and itself.

7 0
3 years ago
Read 2 more answers
Can you the nearest hundredth to 1.2983?
ozzi
I think so it’s 1.30
3 0
2 years ago
Read 2 more answers
HELP PLEASE I NEED IT ASAP
Akimi4 [234]

Answer:

849.9 cm squared

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
Is the inequality always, sometimes, or never true?<br> 3x - 14 &lt; 3(x-5)
lys-0071 [83]

Answer:

3x - 14 < 3x - 15

-14 < -15

never true

Step-by-step explanation:

8 0
3 years ago
How many different ways are there to choose a subset of the set {1,2,3,4,5,6} so that the product of the members of the subset i
zvonat [6]

You have to pick at least one even factor from the set to make an even product.

There are 3 even numbers to choose from, and we can pick up to 3 additional odd numbers.

For example, if we pick out 1 even number and 2 odd numbers, this can be done in

\dbinom 31 \dbinom 32 = 3\cdot3 = 9

ways. If we pick out 3 even numbers and 0 odd numbers, this can be done in

\dbinom 33 \dbinom 30 = 1\cdot1 = 1

way.

The total count is then the sum of all possible selections with at least 1 even number and between 0 and 3 odd numbers.

\displaystyle \sum_{e=1}^3 \binom 3e \sum_{o=0}^3 \binom 3o = 2^3 \sum_{e=1}^3 \binom3e = 8 \left(\sum_{e=0}^3 \binom3e - \binom30\right) = 8(2^3 - 1) = \boxed{56}

where we use the binomial identity

\displaystyle \sum_{k=0}^n \binom nk = \sum_{k=0}^n \binom nk 1^{n-k} 1^k = (1+1)^n = 2^n

3 0
1 year ago
Other questions:
  • (6,2),(9,r),m=-1 find the value of r
    13·1 answer
  • There are 100 students in a hostel. Food provision for them is 20 days.How long will these provision last if 25 more students jo
    13·1 answer
  • The graph of the function f(x) = –(x 3)(x – 1) is shown below. which statement about the function is true? the function is posit
    11·2 answers
  • Julia has 3 ribbons that are 12 inches each. how many 4 inch sections can she cut from the ribbon.
    7·1 answer
  • HELP PLS I NEED IN 5 MINUTES
    15·1 answer
  • The following data represent the pH of rain for a random sample of 12 rain dates in Tucker County, West Virginia. A normal proba
    8·1 answer
  • Jacqueline, Kanisha ,Howard and Bill have a job in their group. The jobs are recorder,Material manager, Time keeper and reporter
    11·1 answer
  • If f(x)=x^2 is vertically stretched by a factor of 9 to g(x). What is the equation of g(x)?
    5·1 answer
  • Jack can long-jump 195% of his height with a running start. If Jack is 50 inches tall, how far can he long-jump?
    6·1 answer
  • Derek advises a patient to have a scale every 4 months and a polish every 6 months. If they have a scale and polish today, how l
    10·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!