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aalyn [17]
3 years ago
6

Sin(3x-16)=cos(4x-6) x=?

Mathematics
1 answer:
lapo4ka [179]3 years ago
7 0
sin(3x-16)=cos(4x-6) \\  sin(3x-16)=sin( \frac{ \pi }{2} -(4x-6)) \\ 3x-16=\frac{ \pi }{2} -(4x-6)
3x-16=\frac{ \pi }{2} -4x+6
then :
<u />3x-16=2k \pi +(\frac{ \pi }{2} -4x+6) \\ 7x=2k \pi +\frac{ \pi }{2}+22 \\ x= \frac{2k \pi}{7}  +\frac{ \pi }{14}+ \frac{22}{7}
and \\ 3x-16=2k \pi + \pi -(\frac{ \pi }{2} -4x+6) \\ 3x-16=2k \pi + \pi -\frac{ \pi }{2} +4x-6 \\ -x=2k \pi + \frac{ \pi }{2}+10 \\ x=-2k \pi - \frac{ \pi }{2}-10
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Can u help me find the area ​
kirill115 [55]

Answer:

640 units squared

Step-by-step explanation:

The shape below is a trapezoid.

The formula for the  area of a trapezoid is average of the bases times the height.

The bases are the parallel lines that make up 2 of the sides of the trapezoid.

The height is the line dotted line that creates right angles and is the distance between the two bases.

The bases are 24 and 40.

To find the average, we add them together and divide by 2

(24+40)/2=64/2=32

Now, we multiply 32 by the height, which is given as the length of 20.

32*20=640

the area of the trapezoid is 640 units squared

Hope this helps!

6 0
2 years ago
Leo's bank balances at the end of months 1, 2, and 3 are $1500, $1530, and $1560.60,
grandymaker [24]

Leo's balance after 9 months will be: $1757.49

Step-by-step explanation:

It is given that the balances follow a geometric sequence

First of all, we have to find the common ratio

Here

a_1 = 1500\\a_2 = 1530\\a_3 = 1560.60

Common ratio is:

r = \frac{a_2}{a_1} = \frac{1530}{1500} = 1.02\\r = \frac{a_3}{a_2} = \frac{1560.60}{1530} = 1.02

So r = 1.02

The general form for geometric sequence is:

a_n = a_1r^{n-1}

Putting the first term and r

a_n = 1500 . (1.02)^{n-1}

To find the 9th month's balance

Putting n=9

a_9 = 1500 . (1.02)^{9-1}\\= 1500.(1.02)^8\\=1757.4890

Rounding off to nearest hundredth

$1757.49

Hence,

Leo's balance after 9 months will be: $1757.49

Keywords: Geometric sequence, balance

Learn more about geometric sequence at:

  • brainly.com/question/10772025
  • brainly.com/question/10879401

#LearnwithBrainly

5 0
3 years ago
Change 3/8 to a decimal using long divison
sveta [45]

Answer:

.375

Step-by-step explanation:

8 0
3 years ago
Omg please help ASAP!!
Mnenie [13.5K]

Answer:

try the first, fourth, and last one

Step-by-step explanation: when you read the question it say select all that apply to form the equation so all you have to do is select the numbers and the variables that are in the equation above.

3 0
3 years ago
Factorise: 5(2^n)+2^n+2
marin [14]

Answer:

2 ( n + 2 ) ( n + 1 2 )

Step-by-step explanation:

coefficient of the first term:  

2 = 2 × 1

coefficient of the last term:  

2 = 2 × 1

coefficient of the middle term (using only the factors above):  

5 = 2 × 2 + 1 × 1

2 n 2 + 5 n + 2 = ( 2 n + 1 ) ( n + 2 )

Alternative method:

Treat the given expression as a quadratic set equal to zero, with the form

a n 2 + b n + c

and use the quadratic formula

− b ± √ b 2 − 4 a c 2 a

This will given solutions

n = − 2  and  n = − 1 2

for a factoring

2 ( n + 2 ) ( n + 1 2 )

Hope this helped

3 0
2 years ago
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