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
Goshia [24]
4 years ago
10

Does anyone know how to solve this?

Mathematics
1 answer:
Charra [1.4K]4 years ago
5 0

Answer:

\frac{\sqrt{2}}{2}

Step-by-step explanation:

This almost looks like the left hand side of the following identity:

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

Here are similar identities in the same category as the above:

\sin(A)\cos(B)+\sin(B)\cos(A)=\sin(A+B)

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

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

Things to notice: 90-76=14. and 90-59=31.

This means we will possibly want to use the following co-function identities:

\cos(90-A)=\sin(A)

\sin(90-A)=\cos(A)

So let's begin:

\sin(76)\cos(31)-\sin(14)\cos(59)

Applying the co-function identities:

\cos(14)\cos(31)-\sin(14)\sin(31)

Applying one of the difference identities above with cosine:

\cos(31+14)

\cos(45)

45 is a special angle so \cos(45) is something you find off most unit circles in any trigonometry class.

\cos(45)=\frac{\sqrt{2}}{2}

You might be interested in
Say that you (or your parents) are purchasing a new car for $22,358. The sales tax is 6.45%, the down payment is 10% of the tota
Nastasia [14]

9514 1404 393

Answer:

  (a)  $133.88

Step-by-step explanation:

The addition of tax multiplies the purchase price by 1+6.45% = 1.0645. The payment of the down payment means the loan amount will be only 1-10% = 0.90 times the amount with tax. So, the loan amount is ...

  $22,359(1.0645)(0.90) = $21,420.08

The loan is a secured loan (secured by the vehicle). So, the interest charged is that for a poor credit rating: 7.5%.

One month's interest is ...

  I = Prt . . . . . interest on principal P at rate r for t years (1 mo = 1/12 yr)

  I = $21,420.08(0.075)(1/12) = $133.88

3 0
3 years ago
a theater is designed with 15 seats in the first row, 19 in the second, 23 in the third, and so on. if this seating pattern cont
marusya05 [52]

Answer:

<u>131 seats</u> are in the 30th row.

Step-by-step explanation:

The theater is designed with the first row there are 15 seats, in second row 19 seats and in the third row there are 23 seats.

Now, to find the number of seats in the 30th row.

So, we get the common difference(d) from the arithmetic sequence first:

19-15=4.

Thus, d=4.

So, the first tem a(1) = 15.

The number of last row (n) = 30.

Now, to get the number of seat in the 30th row we put formula:

a(n) = a(1) + d(n-1)

a(30)=15+4(30-1)

a(30)=15+4\times 29

a(30)=15+116

a(30)=131

Therefore, 131 seats are in the 30th row.

4 0
4 years ago
What does a negative net worth indicate? a. Your assets exceed your liabilities. b. Your assets equal your liabilities. c. Your
iris [78.8K]
That would be C...when ur liabilities exceed ur assets
4 0
3 years ago
Read 2 more answers
In Psychology 101, the ratio of the number of girls to the number of boys is $3:1$. After one girl drops the class and three mor
iVinArrow [24]

Answer:

There are 68 students in the class after these changes.

Step-by-step explanation:

g = number of girls

b = number of boys

Because the ratio of girls to boys is 3:1, initally the equation was  

g = 3b                

Finally, we have

g-1 girls because one girl dropped the class

b+3 boys because three more boys signed up

Because the new ratio of girls to boys is 5:2, the new equation is  

(g - 1)/(b + 3) = 5/2

Cross multiply.

2(g - 1) = 5(b + 3)

2g - 2 = 5b + 15

2g - 5b = 17          

Then, substitute g (which is 3b because the first equation was g = 3b)

2(3b) - 5b = 17

b = 17

g = 3b = 3*17 = 51

g = 51

The final number of students in the class = 17 + 51 = 68

Answer: 68

7 0
3 years ago
the measure of two complimentary angles are 16z -9 snd 4z+ 3 find the measures of the angles with work please
yawa3891 [41]

are they together life solving linear equations?


7 0
4 years ago
Other questions:
  • Convert -36° from degrees to radians.
    6·2 answers
  • The continue display of a behavior after reinforcement has been removed is known as
    11·2 answers
  • What is 72% of 350 friends will mark BRAINLLEST PLEAZZZZZZZZ HELP
    8·1 answer
  • at video shack movie rentals cost $3.99 each. the cost of renting three movies and one video game is $.11 less than the cost of
    10·1 answer
  • Which expression is equivalent to RootIndex 3 StartRoot 64 a Superscript 6 Baseline b Superscript 7 Baseline c Superscript 9 Bas
    9·2 answers
  • Shaylee has 77 pennies. She will trade in the pennies to get nickels.
    15·2 answers
  • Round 3,295.351 to the nearest tenth
    6·2 answers
  • PLEASE HELP ME WITH THIS ILL GIVE U BRAINLEST
    10·2 answers
  • 13
    5·1 answer
  • What is the value of x when f(x) =0
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!