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mestny [16]
3 years ago
6

Find the solutions. Show steps please!

Mathematics
1 answer:
san4es73 [151]3 years ago
6 0

Answer:

x = 0, π/4, π, 7π/4

Step-by-step explanation:

sin(2x) = √2 sin x

Use double angle formula.

2 sin x cos x = √2 sin x

Move everything to one side.

2 sin x cos x − √2 sin x = 0

Factor.

sin x (2 cos x − √2) = 0

Solve.

sin x = 0, cos x = ½√2

x = 0, π/4, π, 7π/4

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30 POINTS! ANSWER ASAP PLEASE!!! WILL THANK ACCOUNT AND ALL ANSWERS!!
Sindrei [870]

Answer:

  16.9 units

Step-by-step explanation:

Sometimes the easiest way to work these problems is to get a little help from technology. The GeoGebra program/app can tell you the length of a "polyline", but it takes an extra segment to complete the perimeter. It shows the perimeter to be ...

  14.87 + 2 = 16.87 ≈ 16.9 . . . units

_____

The distance formula can be used to find the lengths of individual segments. It tells you ...

  d = √((Δx)² +(Δy)²)

where Δx and Δy are the differences between x- and y-coordinates of the segment end points.

If the segments are labeled A, B, C, D, E in order, the distances are ...

  AB = √(5²+1²) = √26 ≈ 5.099

  BC = √(1²+3²) = √10 ≈ 3.162

  CD = Δx = 3

  DE = √(3²+2²) = √13 ≈ 3.606

  EA = Δy = 2

Then the perimeter is ...

  P = AB +BC +CD +DE +EA = 5.099 +3.162 +3 +3.606 +2 = 16.867

  P ≈ 16.9

8 0
3 years ago
Nina deposited $3400 into a savings account that pays a simple annual interest rate of 2.2% how much interest will she earn afte
leva [86]
Total = principal * (1 + rate)^years
Total = 3,400 * (1.022)^.25
<span> <span> <span> 3,418.55 </span> </span> </span>
So, after 3 months, $18.55 in interest is earned.

5 0
3 years ago
What division problem does the model show?​
garik1379 [7]

Answer:

54/3

Step-by-step explanation:

3 0
3 years ago
Mr. Washington is buying a gallon of milk for $3.99 and some boxes of cereal for $4.39 each. If Mr. Washington has
wolverine [178]

Answer:

$20-$3.99(milk)=$17.01÷$4.39(cereal)=4 boxes of cereal

5 0
2 years ago
Write 45/72 in the simplest form
Oliga [24]
Hi! 

In my opinion, the easiest way to solve a problem like this is to find the greatest common factor (GCF) of the numerator and denominator and then divide both numbers by the GCF. 

So first we need to find the factors of 45 and 72 and find the factor that has the most value that the two numbers both have. 

45: 1, 3, 5, 9, 15, and 45

72: 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72

It looks like the GCF is 9. Now we have to divide 45 and 72 by 9. 

45 ÷ 9 = 5

72 ÷ 9 = 8

So the correct answer should be:

\frac{45}{72} =  \frac{5}{8}

Hope this helps :)
3 0
3 years ago
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