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kotykmax [81]
3 years ago
11

PLEASE HELP!! THANK YOU!

Mathematics
2 answers:
GuDViN [60]3 years ago
6 0
Recall that 2sinxcosx = sin2x.
Thus, sinxcosx = sin2x/2

So, \frac{sin2x}{2} = \frac{1}{4}
sin2x = \frac{1}{2}
2x = \frac{\pi}{6}, \frac{5\pi}{6}
x = \frac{\pi}{12}, \frac{5\pi}{12}

In general form:
x = \pi n + \frac{\pi}{12}
x = \pi n + \frac{5\pi}{12}
Korvikt [17]3 years ago
5 0
Answers A and C and correct for this equation. 
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Height versus age.
LenaWriter [7]
So basically the height is divided by a certain number to evenly divide it
8 0
3 years ago
Solve the following equation for 0°≤x≤360° : 2 cot 2x + 3 = 0
evablogger [386]

Answer:

π

2

,

3

⋅

π

2

,

3

⋅

π

4

,

7

⋅

π

4

Explanation:

Factorizing your equation we get

cot

(

x

)

=

0

so

cos

(

x

)

=

0

we get the following Solutions in the given interval

x

=

π

72

or

x

=

3

π

2

for the second case we get

cot

(

x

)

=

−

1

so

cos

(

x

)

=

−

sin

(

x

)

and we get

x

=

3

π

4

or

x

=

7

π

4

Hint:

To get the Solutions of the last equation you can use

√

sin

(

x

+

π

4

)

=

0

Step-by-step explanation:

3 0
2 years ago
A 12 foot ladder is leaning up against the side of a house the ladder makes an angle of 62° with the ground. How far up the side
Veseljchak [2.6K]

Answer:

Step-by-step explanation:

The ladder forms a right angle triangle with the house and the ground. The length of the ladder represents the hypotenuse of the right angle triangle. The height, h from the top of the ladder to the base of the house represents the opposite side of the right angle triangle.

The distance from the bottom of the ladder to the base of the house represents the adjacent side of the right angle triangle.

To determine the height, h that the ladder reaches, we would apply

the Sine trigonometric ratio.

Sin θ = opposite side/hypotenuse. Therefore,

Sin 62 = h/12

h = 12Sin62

h = 12 × 0.8829

h = 10.6 feet

4 0
3 years ago
Write an equation in point-slope form.<br> a. m= -3, (-2,-1)
anygoal [31]
Y+1=-3(x+2) .. hope this helps!
4 0
2 years ago
George has $3.71 in pennies,nickels dimes and quarters in his pocket. He has twice as many dimes as nickels, two more nickels th
FromTheMoon [43]
<span>pennies = 0.01 $
 nickels = 0.05 $
 dimes = 0.1 $
 quarters = 0.25 $
 We must write the system of equations that best suits this problem and solve it:
 Let:
 x = pennies
 y = nickels
 z = dimes
 w = quarters
 Writing the equations
 0.01x + 0.05y + 0.1z + 0.25w = 3.71
 I have twice as many dimes as nickels
 z = 2y
 two more nickels than quarters
 y = w + 2
 three fewer pennies than three times the number of nickels
 x = 3y-3.
 Solving the system of equations:
 x = 21
 y = 8
 z = 16
 w = 6
 answer
 He has
 21 pennies
 8 nickels
 16 dimes
 6 quarters
</span>
4 0
3 years ago
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