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Dovator [93]
2 years ago
8

Find the angle, in degrees between 0 and 360∘, which intersects the unit circle at the point (−1/2,3/√2).

Mathematics
1 answer:
Vlada [557]2 years ago
6 0

Answer:

it approx 103.2 degree

Step-by-step explanation:

s=90+tan^-1(1÷3√2)

I add 90 base on the coordinate , taking the centre of the circle place at origin

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A field is to be fertilized at a cost of $0.08 per square yard. the rectangular part of the field is 95 yd long and the diameter
Alekssandra [29.7K]
Assuming that this field is rectangular with 2 semi-circles (one on both ends of the field), we must first calculate the total area of the field. this is done by adding the area of the rectangular portion and the circular portion. This is done below:

Given:

Rectangular length = 95 yards
Rectangular width = semi-circle diameter = 49 yards

Area of rectangle = length * width = 95 * 49
Area of rectangle = 4655 yd^2

The area of the 2 semi-circles can be obtained by treating both as one circle.
Area of circle = pi * (d/2)^2 = 3.1416 * (49/2)^2
Area of circle = 1885.74 yd^2

Total area = 1885.74 + 4655 = 6540.74

We multiply the area by the cost of fertilizing:
Total cost = cost per sq. yd * total area 
Total cost = 0.08 * 6540.74
Total cost = $523.26
8 0
3 years ago
A regular bottle of sunscreen contains 12oz of lotion. The family sized bottle contains 20% more. Joe buys 4 family sized bottle
Aleksandr-060686 [28]
To check, we can solve how much sunscreen is in a family sized bottle first. We need to find what is 20% of 12. First, turn 20% into a decimal: 20%/100= 0.2. Now, multiply 0.2 by 12, which is 2.4. Then, you add this to 12 because it is 20% more. 12+2.4= 14.4. Multiply this by 4: 14.4*4=57.6. Since his number is close to 50, he is kinda correct, but a much more reasonable answer would be closer to 60. Hope this helped!
4 0
3 years ago
.
galina1969 [7]

Answer:

Step-by-step explanation:

(–5g^5 h^6)^2 × (g^4 h^2)^4        the ^ carot symbol means raised to power X

 (25 g^10 h^12) × (g^16 h^8)         exponents raised to powers MULTIPLY

  -5² = 25   g^5² = g^10  h^6² = h^12     do the same thing with   (g^4 h^2)^4

  25 g^(10+16) h^(12+8)                 collecting terms powers ADD

  25 g^26 h^20                         Which letter is the answer?  

                                                  Did you follow my explaination?

                                           

8 0
2 years ago
Classify by its sides then determine if it’s a right triangle
enot [183]

Answer:

it does appear to be a right triangle

5 0
3 years ago
50 points! Please help me with both. Random answers with be reported
Liula [17]

Answer:

  • Q1. 86°
  • Q2. B(2,0), D(3,1)

Step-by-step explanation:

Q1

<u>The angle of rotation is twice the angle of intersection:</u>

  • 43°*2 = 86°

Q2

<u>Dilation by a scale factor of 2 resulted in:</u>

  • (x, y) → (2x, 2y) for each point C' and D'

<u>The endpoints of the original segment are:</u>

  • C = (4/2, 0/2) = (2, 0)
  • D = (6/2, 2/2) = (3, 1)

Correct choice is B

8 0
2 years ago
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