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
KonstantinChe [14]
3 years ago
10

Find sin (A-B) if sin A = 4/5 with A between 90 and 180 and if cos B = 3/5 with B between 0 and 90

Mathematics
1 answer:
quester [9]3 years ago
3 0

Answer:

sin(A-B) = 24/25

Step-by-step explanation:

The trig identity for the differnce of angles tells you ...

sin(A -B) = sin(A)cos(B) -sin(B)cos(A)

We are given that sin(A) = 4/5 in quadrant II, so cos(A) = -√(1-(4/5)^2) = -3/5.

And we are given that cos(B) = 3/5 in quadrant I, so sin(B) = 4/5.

Then ...

sin(A-B) = (4/5)(3/5) -(4/5)(-3/5) = 12/25 + 12/25 = 24/25

The desired sine is 24/25.

You might be interested in
Plot the points A(-3, 2), B(-5, -4), C(-2, -4) and D(0, 2). What figure do you
Aleks04 [339]

Answer:

It is a trapezium, I guess

Step-by-step explanation:

To know more see the picture attached

6 0
2 years ago
How are percents greater than 100% used in real world contexts
docker41 [41]

Answer:

Think of investments. If you were to invest $100 into a company and receive $200 dollars, then you would have made $100 in profit, which is 100% of your initial amount. So, if you were to invest $100 and receive $250 dollars in profit, then you would have made an extra $150, which is even more than your initial amount of $100. In this case, you would have made a 150% increase on your money.

(I deserve to be the brainliest )

3 0
2 years ago
What is a slope of a line between the x-axis and y-axis​
Georgia [21]

Answer:

Mercedes, look at the graph i'm attaching... do you see ? what's the slope?

Step-by-step explanation:

4 0
2 years ago
A farmer has a rectangle field with a perimeter of 5.4 miles and a length of 2.3 miles. Find the width of the field. The width o
Alja [10]

Answer:

Step-by-step explanation:

perimeter = 2*(length + width)

53 m = 2*(2.3 m +w) . . . . an equation to find the width, w

26.5 m = 2.3 m +w . . . . . divide by 2

24.2 m = w . . . . . . . . . . . subtract 2.3 m

The width of the rectangle is 24.2 m

hope it helps

6 0
3 years ago
Read 2 more answers
Expand the polynomial:<br> (5a+1/5 b)^2
WINSTONCH [101]
Expand the following:
(5 a + b/5)^2

(5 a + b/5) (5 a + b/5) = (5 a) (5 a) + (5 a) (b/5) + (b/5) (5 a) + (b/5) (b/5):
5×5 a a + (5 a b)/5 + (5 b a)/5 + (b b)/(5×5)

(5 a b)/5 = 5/5×a b = a b:
5×5 a a + a b + (5 b a)/5 + (b b)/(5×5)

(b×5 a)/5 = 5/5×b a = b a:
5×5 a a + a b + b a + (b b)/(5×5)

Combine powers. (b b)/(5×5) = (b^(1 + 1))/(5×5):
5×5 a a + a b + b a + (b^(1 + 1))/(5×5)

1 + 1 = 2:
5×5 a a + a b + b a + (b^2/5)/5

5 a×5 a = 5×5 a^2:
5×5 a^2 + a b + b a + (b^2/5)/5

5×5 = 25:
Answer:  25 a^2 + a b + b a + (b^2/5)/5
3 0
3 years ago
Read 2 more answers
Other questions:
  • I need help on this question pls
    6·1 answer
  • Angle A is in standard position and terminates in quadrant IV. If sec(A) = 4/3 , complete the steps to find cot(A).  Use the ide
    8·2 answers
  • If f(x)=-12x−3, find x for f(x)=89.
    12·2 answers
  • A six-pack of soda costs $3.36 How much does one soda cost?
    9·1 answer
  • Use the Pythagorean Theorem to answer the questions.
    15·1 answer
  • Select the correct answer. If a six-sided die is rolled 30 times, how many times can you expect to get a 6? A. 3 B. 5 C. 6 D. 10
    12·2 answers
  • The coefficients of the expression 3x^4-6x^3+x^2 are ____.
    10·1 answer
  • 2. An isosceles right triangle whose legs are 6 is rotated about one of its legs to generate a
    5·1 answer
  • Which of the following numbers is irrational?
    12·2 answers
  • What is the EQUATION of the line PERPENDICULAR to y=-2x+5 and passing through the point (0,2)?
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!