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Nimfa-mama [501]
3 years ago
10

Write the expression as either the sine, cosine, or tangent of a single angle.

Mathematics
1 answer:
Gnesinka [82]3 years ago
6 0
Note that
sin(x + y) = sin(x) cos(y) + cos(x) sin(y).

Therefore by setting x = π/2 and y = π/7, obtain
sin(π/2 + π/7) = sin(π/2)*cos(π/7) + cos(π/2)*sin(π/7)

The right side is what we want to evaluate.  It is equal to
sin(π/2 + π/7) = sin (9/14)π

Answer:  sin( \frac{9 \pi }{14})
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Last year , Henry opened an investment account with 5800. At the end of the year ,the amount in the account had increased by 29.
joja [24]

Answer:

  • Percent increase in dollar = $1,711
  • Total in account = $7,511

Step-by-step explanation:

The money in the account had increased by 29.5%.

This increase in dollars is:

= Amount in account * percentage increase

= 5,800 * 29.5%

= 5,800 * 0.295

= $1,711

The total in his account was therefore:

= Amount invested + increase

= 5,800 + 1,711

= $7,511

8 0
3 years ago
Solve by Elimination<br> b) -4x+2y=-4<br> 4x-5y=-8
ruslelena [56]

Answer:

x = 3

y = 4

Step-by-step explanation:

-4x+2y=-4   -----(eq1)

4x-5y=-8 ------(eq 2)

by elimination,

(eq1) + (eq 2),

(-4x+2y) + (4x-5y) = -4 + (-8)

-4x+2y + 4x-5y = -4 -8

2y-5y = -12

-3y = -12   (divide both sides by -3)

y = -12 / (-3) = 12/3 = 4  (sub back into (eq 1) )

-4x+2y=-4   -----(eq1), when y = 4,

-4x+2(4)=-4  

-4x+8 = -4    (subtract 8 from both sides)

-4x= -4   - 8

-4x= -12 (divide both sides by -4)

x = -12 / (-4) = 3

5 0
3 years ago
Hannah buys 2 1/2 lbs of dried fruit for $1.50. How much is she paying for one pound of dried fruit?
Virty [35]
$.60 a lb.
Just divide $1.50 by 2.5lbs. 
6 0
3 years ago
A wealthy businessman invests $10,000 and expects a 6.62% rate of return annually. How
ahrayia [7]

Answer:

3

Step-by-step explanation:

It would take.him.about 3 years

5 0
3 years ago
3,4375 divided by 5.5 show your work
Stels [109]
6250

34375/5.5 calculator OR you do 5.5 into long division
5 0
3 years ago
Read 2 more answers
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