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Stella [2.4K]
3 years ago
12

1+cos(18x)=______ Please answer this

Mathematics
1 answer:
Komok [63]3 years ago
8 0

Answer with Explanation:

Keep in mind these trigonometric Identity:

1. Cos²x - Sin² x= Cos 2 x

2. Cos 2 x = 2 Cos²x-1

3. Cos 2 x = 1 - 2 Sin²x

Now, Coming to the Problem

1 + Cos (18 x)

= 1 + Cos (2 × 9 x)

= 2 Cos ² (9 x)→→→ Cos (2 × 9 x)= 2 Cos² (9 x) - 1

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A triangle has sides with lengths of 5 meters, 12 meters, and 13 meters. Is it a right triangle?
Setler [38]

Answer:

yes :

use the following formula :

a^2 +b^2 = c^2

now apply it to the problem :

5^2+12^2=13^2

do the exponent :

25 + 144 =169  

now add

169 =169

if they are equal , then it is a right triangle .

7 0
2 years ago
A batting machine uses an automatic baseball feeder. During baseball
Inessa05 [86]

The feeders in battling machine are represented in proportions and fractions.

  • The equation that represents the problem is: \mathbf{\frac 16x + 15 = \frac 23x}
  • The feeder can hold <em>30 baseballs</em>, when full

The given parameters are:

<em />\mathbf{Initial = \frac 16x}<em> ------ 1/6 full</em>

<em />\mathbf{Additional = 15}<em> --- baseballs added</em>

<em />\mathbf{Final = \frac 23x}<em> ---- 2/3 full</em>

<em />

So, the equation that represents the problem is:

\mathbf{Initial + Additional = Final}

So, we have:

\mathbf{\frac 16x + 15 = \frac 23x}

The number of baseballs it can hold is calculated as follows:

\mathbf{\frac 16x + 15 = \frac 23x}

Multiply through by 6

\mathbf{x + 90 = 4x}

Collect like terms

\mathbf{4x - x = 90 }

\mathbf{3x = 90 }

Divide through by 3

\mathbf{x = 30 }

Hence, the feeder can hold 30 baseballs, when full

Read more about proportions and fractions at:

brainly.com/question/20337104

5 0
2 years ago
A camera has a listed price of $587.98 before tax. If the sales tax rate is 8.5%, find the total cost of the camera with sales t
ikadub [295]

Answer:

$637.95

Step-by-step explanation:

convert 8.5% to a decimal by dividing by 100:

8.5÷100= 0.085

then multiply.

587.98×(0.085)=49.97

now add.

587.98+49.97=<u>637.95</u>

6 0
3 years ago
What two numbers plus 35 equal 180
Andrews [41]
X^2+35=180?
Subtract 35 on each side

x^2=145
Take the square root

x= -sqrt(145)
+sqrt 145...

I hope this helps!!
4 0
3 years ago
Read 2 more answers
Among two supplementary angles, the measure of the larger angle is 44°
zhuklara [117]

Answer:

68° and 112°

Step-by-step explanation:

Supplementary angles sum to 180°

let the smaller angle be x then the larger angle is x + 44 , then

x + x + 44 = 180 , that is

2x + 44 = 180 ( subtract 44 from both sides )

2x = 136 ( divide both sides by 2 )

x = 68

Smaller angle = 68° and

larger angle = x + 44 = 68 + 44 = 112°

6 0
3 years ago
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