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Alex777 [14]
3 years ago
9

Darnell is underwater 20 feet below sea level. His friend is on a hill 32 feet above sea level. How far apart are the two friend

s?
Mathematics
2 answers:
NemiM [27]3 years ago
8 0

Answer:

52 feet apart

Step-by-step explanation:

20 + 32 = 52

Sedbober [7]3 years ago
7 0

Answer:

52 feet

Step-by-step explanation:

20 + 32 = 52

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Evaluate (-32) 7/5<br> The solution is
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Answer:

- 224/5

Step-by-step explanation:

DECIMEL FORM = -44 4/5

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Amount= Deposit or initial amount ( 1+ percent increase) ^period of time
So Amount= 50(1+0.1)^3
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Use a calculator to find the approximate value of the expression. Round the answer to two decimal places. The cosine of the comp
taurus [48]

Answer:

B) 0.85

Step-by-step explanation:

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How do find the general solution of sin7A=sinA+sin3A
const2013 [10]

Step-by-step answer:

Solve  

sin(7a) = sin(3a) + sin(a) ..................(1)

Let  

F(a)=sin(7a)-sin(3a)-sin(a)..................(2)

the equivalent problem to (1) is  

F(a)=0 ......................................(3)

F(a)

=sin(7a)-sin(3a)-sin(a)....apply trig sum identities

=sin(6a+a) - sin(3a) - sin(a)

=sin(6a)cos(a)+cos(6a)sin(a) -sin(3a) - sin(a)

apply double angle formulas

=(2sin(3a)cos(3a))cos(a) +

(cos^2(3a)-sin^2(3a))sin(a) -sin(3a) - sin(a)

simplify using sin^2(p)+cos^2(p) = 1

= (2sin(3a)cos(3a))cos(a) +

(1-2sin^2(3a))sin(a) - sin(3a) - sin(a)

simplify algebraically, note 1*sin(a) cancels sin(a)

= (2sin(3a)cos(3a))cos(a) -2sin^2(3a)sin(a) - sin(3a)

factor out sin(3a)

= sin(3a)(2cos(3a)cos(a)-2sin(3a)sin(a) - 1)

now use trig sum formula to reduce to cos(4a)

= sin(3a)(2cos(4a)-1)

So

F(a) = 0   if sin(3a) =0 ...................(4)

or

F(a) = 0   if cos(4a) = 1/2 ................(5)

using the zero product theorem

From (4)

sin(3a) = 0  

3a = sin-1(0) = n*pi

a = n*pi/3  ................................(6)

From (5)

cos(4a) = 1/2

4a = cos^-1(1/2) = 2n*pi +/- pi/3

a = (2n+1/3)pi/4 or (2n-1/3)pi/4............(7)

Combine (6) and (7) to give the general solution

a = n*pi/3 or (2n+1/3)pi/4 or (2n-1/3)pi/4 .....(8)

For checking, use your calculator to substitute every solution given in (8) into the function F(a) in equation (1) to confirm that the result is almost equality.  The small difference will be due to rounding errors of the calculators.  On mine, they work out to be of the order of +/- 10^-15.

6 0
3 years ago
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