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
Elena-2011 [213]
3 years ago
7

For positive acute angles AA and B,B, it is known that \cos A=\frac{24}{25}cosA= 25 24 ​ and \sin B=\frac{11}{61}.SinB= 61 11 ​

. Find the value of \sin(A+B)sin(A+B) in simplest form.
Mathematics
1 answer:
siniylev [52]3 years ago
4 0

Answer:

684/1525

Step-by-step explanation:

Given

cosA = 24/25

SinB = 11/61

Sin(A+B) = SinAcosB + CosAsinB

Get SinA

Since

Cos A = adj/hyp

adj = 24

hyp = 25

opp² = 25² - 24²

opp² = 625 - 576

opp² = 49

opp = √49

opp = 7

sinA = opp/hyp

sinA = 7/25

Also if SinB = 11/61

opposite = 11

Hypotenuse = 61

adj² = 61² - 11²

adj² = 3,721 - 121

adj² = 3600

adj = √3600

adj = 60

Cos B = adj/hyp

CosB = 60/61

Sin(A+B) = SinAcosB + CosAsinB

Sin(A+B) = 7/25(60/61) + 24/25(11/61)

Sin(A+B) = 420/1,525 + 264/1,525

Sin(A+B) = 684/1525

You might be interested in
Select the option for "?" that continues the pattern in each question.
Brut [27]
1. 13
2. 9 or 38 not really sure
3.1595
4.. 810
4 0
4 years ago
Can anybody help me?
Marina CMI [18]

Answer:

I’m sorry. I don’t know the answer but if u take a picture it on photomath u will get the answer

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
whats th awnser if -(6×-5)=-6×+13 is that no solution,infinite solution,×=17/12,×=-17/12 please help me
Luba_88 [7]
Expanding the parentheses:-
-6x + 30 = -6x + 13
    +6x         + 6x

30 = 13
which is obviously absurd so the answer is No Solution.
4 0
3 years ago
Larisa earns $7 per hour.she worked 40 hours at the regular rate, 3 hours at time and half, and 6 hours at double time.
VARVARA [1.3K]

Answer:

$6.07/hr. if I understand the question properly.  See below.

Step-by-step explanation:

I don't see the question, but will assume we want to find Larisa's base pay.  The $7/hr given is the average for the work sequence noted in the problem.  If this is incorrect, ignore the answer.

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

Let x be Larisa's base salary.  We are told, I think, that in one stretch of time Larisa earned an average of $7/hour.  That was composed of:

<u>Hours</u>  <u>Rate($/hr)</u>

  40           x

    3        1.5x

<u>     6    </u>     2x

  49

Her total income over this period would be:

40x +3(1.5x) + 6(2x)  [The hours worked times the pay rate for each period]

Her average income per hour would be:

(40x +3(1.5x) + 6(2x))/49

which we are told is $7/hr.

(40x +3(1.5x) + 6(2x))/49 = 7

40x + 4.5x + 12x = 343

56.5x = 343

x = $6.07/hr

6 0
2 years ago
A 12-ft ladder leaning against a house makes a 64 degree angle with the ground. Will the ladder reach a window sill that is 10.5
Luba_88 [7]

Answer:

Yes, it will

Step-by-step explanation:

Given

Length of Ladder = 12 ft

Angle = 64

Required

Determine if it'll reach a height of 10.5ft from the base

See attachment for proper illustration.

<em>From the attachment, we want to determine that x be greater than 10.5</em>

Using sin formula:

Sin\ 64 = \frac{x}{12}

Multiply through by 12

x = 12 * sin\ 64

x = 12 * 0.8988

x = 10.79 (Approximated)

<em>Since 10.79 is greater than 10.5, then the ladder will reach the window</em>

sin64 = x/12

x = 12* sin64

5 0
3 years ago
Other questions:
  • What are the prime factorization of 2100 in exponential form
    9·2 answers
  • If - 6x +11 = 29 then 5x = ?
    9·1 answer
  • who this number in least to greatest on number line 0.4 space 1.2 space 2.5 Space 3 space 1.7put this number in least to greates
    10·1 answer
  • Find the length of each side of the polygon for the given perimeter
    10·1 answer
  • Iam really lost on this one please need help
    8·1 answer
  • What is the surface area of the solid that this net can form? (I’m hoping that picture is attached)
    11·1 answer
  • HELP PLEASE now ASAP
    9·1 answer
  • What is (3 x 10^3) / (12 x 10^6)
    9·2 answers
  • USING THE DRAWING BELOW IDENTIFY THE FIGURES REPRESENTED BY THE LETTERS,
    13·1 answer
  • Make y the subject of the formula
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!