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irina [24]
3 years ago
15

On a unit circle, the ordered pair (x, y) represents the point where the terminal side of e intersects the unit circle. If m<

=
what is the value of x in simplest

form
Mathematics
1 answer:
tatyana61 [14]3 years ago
4 0

Complete Question

Refer to attachment

Answer:

Option C

Step-by-step explanation:

From the question we are told that:

m \angle \theta=120

Generally the angle of inclination is \theta

\theta =180-120

\theta=60

Generally the equation for x is mathematically given by

x=cos60\textdegree *1

x=\frac{1}{2}

Since x exists in the second quadrant

Therefore the value of x in simplest  form is

 x=-\frac{1}{2}

Option C

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The figure is made of rectangular prisms. What is the volume?
Vikentia [17]
What are the sides of the rectangular prisms ?
8 0
3 years ago
Find the approximate perimeter of ABC plotted below.
maksim [4K]

Answer:

B. 21.2

Step-by-step explanation:

Perimeter of ∆ABC = AB + BC + AC

A(-4, 1)

B(-2, 3)

C(3, -4)

✔️Distance between A(-4, 1) and B(-2, 3):

AB = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}

AB = \sqrt{(-2 - (-4))^2 + (3 - 1)^2} = \sqrt{(2)^2 + (2)^2)}

AB = \sqrt{4 + 4}

AB = \sqrt{16}

AB = 4 units

✔️Distance between B(-2, 3) and C(3, -4):

BC = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}

BC = \sqrt{(3 - (-2))^2 + (-4 - 3)^2} = \sqrt{(5)^2 + (-7)^2)}

BC = \sqrt{25 + 49}

BC = \sqrt{74}

BC = 8.6 units (nearest tenth)

✔️Distance between A(-4, 1) and C(3, -4):

AC = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}

AC = \sqrt{(3 - (-4))^2 + (-4 - 1)^2} = \sqrt{(7)^2 + (-5)^2)}

AC = \sqrt{47 + 25}

AC = \sqrt{74}

AC = 8.6 units (nearest tenth)

Perimeter of ∆ABC = 4 + 8.6 + 8.6 = 21.2 units

8 0
3 years ago
...im failing please
Taya2010 [7]

Answer:

top row on 9 page; 9) 53/5 10) 26/4 11) 37/4

bottom row on 9 page; 9) 8 and 1/7 10) 6 and 3/4 11) 1 and 1/3

top row on 3 page; 3) 2 and 2/7 4) 5 and 3/4 5) 8 and 1/10

bottom row on 3 page; 3) 4/3 4) 3/2 5) 12/5

top row on 12 page; 12) 21/10 13) 62/6 14) 57/6

bottom row on 12 page; 12) 1 and 9/10 13) 10 and 1/2 14) 3 and 3/8

Step-by-step explanation:

You never specified if these had to be simplified or turned into a fraction, so I just simplified them. That's about it.

I hope this helps :)

7 0
2 years ago
Juan purchased an antique that had a value of \$200$200dollar sign, 200 at the time of purchase. Each year, the value of the ant
garri49 [273]

Answer:

<h2>The value of a is (\frac{11}{10} )^{222}.</h2>

Step-by-step explanation:

At the time of purchase, the value of the antique is $200.

After one year the value will increase 10%.

Hence, after one year, the value of the antique will be \frac{110}{100} \times200 = 220.

Similarly, after two year, the value will be 200\times (\frac{110}{100} )^{2}.

Thus, 222 years after purchase, the value of the antique will be 200\times (\frac{110}{100} )^{222} = 200\times (\frac{11}{10} )^{222}.

5 0
3 years ago
I need help for this
Leona [35]
Got you
S' = 4,-3
Y'= 7,-2
U' = 8,--5
V' = 2,-6

3 0
3 years ago
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