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gladu [14]
3 years ago
11

There is a photo attachedi know its not A

Mathematics
1 answer:
Anna71 [15]3 years ago
6 0

cos 2x=2 cos ^2 x-1

cos x=sqrt(1+cos 2 x)/2

x=67.5

cos 67.5=sqrt(1+ cos 135)/2

=sqrt(1-cos45)/2

=sqrt(1-sqrt(2)/2)/2

=sqrt(2-sqrt2)/4

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A circular pond 24 yd in
Schach [20]

Answer:

The walk will cost $8164.

Step-by-step explanation:

Given:

Diameter of the circular pond (D) = 24 yd

Width of the gravel path (x) = 2 yd

Cost per yard of the path = $50

Now, radius of the circular pond is half of the diameter and is given as:

Radius,R=\frac{D}{2}=\frac{24}{2}=12\ yd

Now, area of the pond is given as:

A_{pond}=\pi R^2=3.14\times (12)^2=3.14\times 144=452.16\ yd^2

Area of the complete path including the pond area is given as:

A_{outer}=\pi(R+x)^2=3.14\times(12+2)^2=3.14\times196=615.44\ yd^2

Now, area of the gravel path can be obtained by subtracting the pond area from the total outer area. This gives,

A_{path}=A_{outer}-A_{pond}\\\\A_{path}=615.44-452.16=163.28\ yd^2

Now, using unitary method,

Cost of 1 square yard of path = $50

∴ Cost of 163.28 square yard of path = 50 × 163.28 = $8164

Hence, the walk will cost $8164.

5 0
3 years ago
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WILL MARK AS BRAINLIEST The graph plots four equations, A, B, C, and D: Line A joins ordered pair negative 6, 16 and 9, negative
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<span>Equation B and Equation C

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X + 3 = x + 6<br> is it one solution no solution or infinitely solutions
mars1129 [50]

Answer:

No solutions I think.

Step-by-step explanation:

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3 years ago
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You are paid $8.35/hr at your part-time job. Your deductions are FICA (7.65%), federal tax withholding (9.15%), and state tax wi
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One serving of mikes crackers has 120 calories and a mass of 30 grams . How many calories are in 10 grams of the crackers
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30÷10=3
120÷3=40. As a result, there are 40 calories in 10 grams of the crackers. Hope it help!
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3 years ago
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