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2 years ago

Translate the phrase into algebraic symbols. the sum of a number y and sixteen.

Mathematics

1 answer:

jarptica [38.1K]2 years ago

3 0

The answer to this is y+16

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What is the value of cosθ given that (−2, −3) is a point on the terminal side of θ ?

snow_tiger [21]

Answer:

-0.555

Step-by-step explanation:

The terminal point of the vector in this problem is

(-2,-3)

So, it is in the 3rd quadrant.

We want to find the angle $\theta$ that gives the direction of this vector.

We can write the components of the vector along the x- and y- direction as:

$v_x = -2\\v_y = -3$

The tangent of the angle will be equal to the ratio between the y-component and the x-component, so:

$tan \theta = \frac{v_y}{v_x}=\frac{-3}{-2}=1.5\\\theta=tan^{-1}(1.5)=56.3^{\circ}$

However, since we are in the 3rd quadrant, the actual angle is:

$\theta=180^{\circ} + 56.3^{\circ} = 236.3^{\circ}$

So now we can find the cosine of the angle, which will be negative:

$cos \theta = cos(236.3^{\circ})=-0.555$

7 0

2 years ago

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Set the function equal to 2065 and solve for g, then that answer is how many games he played

4 0

2 years ago

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What is the solution set of {x | x < -3} ∩ {x | x > 5}

lozanna [386]

Any $x$ in this set will be real numbers that are both less than $-3$ and greater than $5$ . But that's not possible, so this set is empty.

7 0

3 years ago

twice the sum of a number and 2 is equal to three times the difference of the number and 3. Find the number

Lana71 [14]

2(x+2)=3(x-3)
2x+4=3x-9
2x=3x-13
-x=-13
x=13

The number is 13

3 0

3 years ago

-5/6x-7/30x+1/5x-52 please help me guys cuz imk not good with math

Marina CMI [18]

Answer:

$\frac{-13}{15} x-52$

Step-by-step explanation:

$\frac{-5}{6}x-\frac{7}{30}x+\frac{1}{5}x-52$

$=\frac{-5}{6}x+\frac{-7}{30}x+\frac{1}{5}x+-52$

Combine Like Terms:

$=\frac{-5}{6}x+\frac{-7}{30}x+\frac{1}{5}x+-52$

$=(\frac{-5}{6}x+\frac{-7}{30}x+\frac{1}{5}x)+(-52)$

$=\frac{-13}{15}x+-52$

Therefore, $\frac{-13}{15}x+-52$ will be your final answer.

7 0

2 years ago