Mathematics, 29.03.2020 17:08 amandanunnery33

The terminal side of an angle in standard position measuring 5∘ intersects the unit circle at (x, y). What ordered pair represents the coordinates of the point where the terminal side of the angle measuring 175∘ intersects the unit circle? Answer with an ordered pair in terms of x and y.

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Answer from: joshajgaa

The ordered pair associated with an angle whose terminal side measures 175° is (x,y) = (-0.996,0.087) .

Given a unit circle and an angle in standard position ( $\theta$ ), in sexagesimal degrees. The ordered pair in rectangular coordinates and asociated to a standard angle is represented by the following expression:

$(x, y) = (\cos \theta, \sin \theta)$ (1)

If we know that $\theta = 175^{\circ}$ , then the coordinates of the ordered pair is:

$(x,y) = (\cos 175^{\circ},\sin 175^{\circ})$

(x,y) = (-0.996,0.087)

The ordered pair associated with an angle whose terminal side measures 175° is (x,y) = (-0.996,0.087) .

We kindly invite to check this question on unit circles: link

Answer from: bryanmcmillianjr

Step-by-step explanation:

Given that,

The terminal side of an angle in the standard position measuring 5° intersects the unit circle at (x,y).

coordinates on the unit circle can be derived using: (x, y) = (cos A, sin A), where A is the measurement of the angle.

So,

(x, y) = (Cos5°, Sin5°)

The reference angle for 5° is 175°.

Since 5° lies in the first quadrant,

cosine is positive and sine is positive in the first quadrant

Therefore 5° intersect the unit circle at

x = sin175 and y = —Cos175

Since cos175 is negative

In terms of x and y, 175° intersects thee unit circle at (x, —y)

Answer from: Quest

$w\geq 14$

the smallest possible measurement of the width is 14 feet

step-by-step explanation:

let's assume length of parallelogram is 'l'

width of parallelogram is 'w'

the perimeter of a parallelogram must be no less than 40 feet

so, we get

$2l+2w\geq 40$

we are given

length of parallelogram is 6 feet

so,

l=6

we can plug it

$2\times 6+2w\geq 40$

now, we can solve for w

$12+2w\geq 40$

subtract both sides by 12

$12+2w-12\geq 40-12$

$2w\geq 28$

divide both sides by 2

and we get

$w\geq 14$

so,

the smallest possible measurement of the width is 14 feet

Answer from: Quest

step-by-step explanation:

if you want to solve percent error follow these steps.

1. subtract the accepted value from the experimental value.

2. take the absolute value of step 1.

3. divide that answer by the accepted value.

4. multiply that answer by 100 and add the % symbol to express the answer as a percentage.

if you want to solve percent of change just do this.

1. work out the difference (increase) between the two numbers you are comparing.

2. divide the increase by the original number and multiply the answer by 100. if your answer is a negative number then this is a percentage decrease.

hope this : )

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