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
galben [10]
3 years ago
8

Given: cos α = 4/5, sin β= 4/5, and α and β are both in quadrant 1. find sin (α+β)

Mathematics
1 answer:
mezya [45]3 years ago
8 0
We have the formula (sin x)^2 + (cos x)^2 = 1;
Then, sin α = \sqrt{1-  ( \frac{4}{5}) ^{2} } =  \frac{3}{5} ;
cos β = \sqrt{1- ( \frac{4}{5}) ^{2} } = \frac{3}{5} ;
We apply the formula sin ( α + β ) = sin α x cos β + sin β x cos α = (3/5)x(4/5) + (4/5)x(3/5) = 12/25 + 12/25 = 24/25;
You might be interested in
Find the total surface area of the cube
prisoha [69]
Each square is 2.2*2.2= 4.84 sqin
6 squares: 4.84*6= 29.04
hope this helps
6 0
2 years ago
Sharon is painting her house. she needs 5 gallons of brown paint for every 7 gallons of white paint.  How many gallons of white
Igoryamba

Answer:

19.6

Step-by-step explanation:

The ratio of brown paint to white paint is, 5:7 or \frac{5}{7} so if he bought 14 gallons of white paint we need to figure out:

\frac{5}{7} =\frac{14}{x}

which we can as it only has one unknown:

5x=14×7

5x=98

x=19.6

So the answer is 19.6

3 0
2 years ago
Read 2 more answers
ANSWER THIS TO GET 20 POINTS<br><br> what does a ratio of 2:1 mean
sdas [7]

Answer:

It means 2/1

Step-by-step explanation:

For example if YIU say the ratio girls to boys is 2 to 1 then you are there are 2 girls to 1 boy

7 0
3 years ago
Combine like terms to create an equivalent expression 3.4 - 2.8d + 2.8d - 1.3
zalisa [80]

Answer:

3.4 - 2.8d + 2.8d - 1.3 = 2.1

Step-by-step explanation:

The given expression is 3.4 -2.8d + 2.8d -1.3

Let's see the definition of like terms.

Like terms are the terms having the same variable and the same exponents.

Examples: -3xy, 2xy  and 4y, 5y and -3, 2.

Now let's identify the like terms from the given expression.

3.4 -2.8d + 2.8d -1.3

Here the like terms are -2.8d, +2.8d and 3.4, -1.3

3.4 -2.8d + 2.8d -1.3

= -2.8d + 2.8d + 3.4 - 1.3            [-2.8d + 2.8d = 0] and 3.4 -1.3 = 2.1

= 0 + 2.1

=2.1

The answer is 2.1

6 0
3 years ago
Read 2 more answers
What is the difference 1/9 - 5/6 a 13/18 b 1/18 c - 1/18 d -13/18
Murrr4er [49]
1/9 - 5/6

Convert both of them into denominators of 18.

2/18 - 15/18

Subtract the numerators and keep the denominator:

-13/18
3 0
3 years ago
Other questions:
  • 9:45 on Tuesday Questions
    7·1 answer
  • The following set of coordinates represents which figure? (7, 10), (4, 7), (6, 5), (9, 8) Parallelogram Rectangle Rhombus Square
    11·1 answer
  • Find -3A+6B Matrices
    9·1 answer
  • Isabel wants a coat that costs $60. She has saved $42. What fraction of the amount she needs has she saved ?
    7·1 answer
  • Need help with this question
    11·1 answer
  • Find the equation for the family of lines tangent to the circle with center at the origin and radius 3.
    6·1 answer
  • A recipe calls for 2/3 of a cup of milk for 11 cookies. How many cups of milk are needed to make 66 cookies?
    9·1 answer
  • How many solutions can be found for the equation 5x + 3(x − 1) = 10x − 2x − 3?
    6·1 answer
  • If 75% of x is 18 then find the value of x?
    6·2 answers
  • Give your answer as a mixed number.​
    10·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!