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nika2105 [10]
3 years ago
13

Identify the terminal point for a 45° angle in a unit circle.

Mathematics
1 answer:
GREYUIT [131]3 years ago
3 0

Answer:

D

Step-by-step explanation:

x- coordinate = cos45° = \frac{1}{\sqrt{2} } = \frac{\sqrt{2} }{2}

y- coordinate = sin45° = \frac{1}{\sqrt{2} } = \frac{\sqrt{2} }{2}

That is ( \frac{\sqrt{2} }{2} , \frac{\sqrt{2} }{2} ) → D

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One half of a number added to two thirds of the number is 21. Find the number and show your work
Svet_ta [14]
The number would be 18.
Half of 18 = 9
Two thirds of 18 = 12
9 + 12 = 21
3 0
3 years ago
Pleasee what are the answers??
uranmaximum [27]

Answer:

Step-by-step explanation:

y=(x-a)²+h

vertex (a,h)

axis of symmetry  x-a=0 or x=a

x-intercepts (none)

y-intercepts (none)

graph upper parabola (don't understand what it requires )

Domain (-∞,∞)

Range [0,∞)

3 0
3 years ago
8a to the power of 6 times a to the power of 4 over 4a to the power of -3
svetlana [45]

Answer:

(8a)⁻¹⁸

1 / (8a)¹⁸

Step-by-step explanation:

(((8a)^6a)^4/4a))^-3

((8a)^6a*4/4a)^-3

((8a)^6)^-3

(8a)^6*(-3)

(8a)⁻¹⁸

1 / (8a)¹⁸

4 0
3 years ago
#1. A 30 inch wire is bent into a scalene triangle. Its median side is 2 inches longer than
aivan3 [116]

Answer: the length of the longest side is 13 inches

the length of the of the median is 12 inches

the length of the of the smallest side is 5 inches

Step-by-step explanation:

Let x represent the length of the of the longest side of the scalene triangle.

Let y represent the length of the of the median side of the scalene triangle.

Let z represent the length of the of the smallest side of the scalene triangle.

The formula for the perimeter of a triangle is the sum of the length of each side. If the 30 inch wire is bent into a scalene triangle, the perimeter would be 30 inches. it means that

x + y + z = 30 - - - - - - - - - - 1

Its median side is 2 inches longer than twice its shortest side. This means that

y = 2z + 2

2z = y - 2

z = y/2 - 1

Its longest side is one inch longer than its median side. This means that

x = y + 1

Substituting x = y + 1 and z = y/2 - 1 into equation 1, it becomes

y + 1 + y + y/2 - 1 = 30

Multiplying through by 2, it becomes

2y + 2 + 2y + y - 2 = 60

5y = 60

y = 12

Substituting y = 12 into x = y + 1,

x = 12 + 1 = 13

Substituting y = 12 into z = y/2 - 1, it becomes

z = 12/2 - 1 = 6 - 1 = 5

8 0
3 years ago
What is the least common denominator of
lord [1]

Answer:

first answer is correct

Step-by-step explanation:

hello

as we can write

x^2-1=(x-1)(x+1)\\

the least common denominator is

x(x-1)(x+1)

hope this helps

6 0
3 years ago
Read 2 more answers
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