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KonstantinChe [14]
2 years ago
7

Find the sine of Write your answer in simplified, rationalized form. Do not round. Please help!!!!!

Mathematics
1 answer:
erma4kov [3.2K]2 years ago
6 0

Answer:

Sin (E) = √74/(2√23)

Step-by-step explanation:

Reference Angle = E

Hypotenuse = 2√23

Adjacent = 3√2

Opposite = DC = √(2√23)² - (3√2)²) = √(4*23 - 9*2) = √(92 - 18) = √74 (pythagorean theorem)

Recall SOHCAHTOA.

Thus,

Sin (E) = opp/hyp

Sin (E) = √74/(2√23)

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Find the domain and the range of the relation shown on the
nika2105 [10]

Answer:

Domain = {0.-6}

Range = {-2, 4}  

Notes We find coordinates and radius and state

Then we show formula  (x -x1)^2 + (y +y1) = r ^2 and show

(x -3 )^2 + (y − 1)^2 = 9 = R^2  THE RADIUS^2

then ;

Domain formula = x - r   and x + r

Range formula = y - r  and  y + r

Step-by-step explanation:

The graph is a circle so all the points are enclosed in it

The domain is the values for x so you subtract the radius from the centre coordinate and you add the radius to it The range is the values for y so you do the same to the y coordinate If you use

(x- x1) ^2 + (y - y1) ^2

(x -3 )^2 + (y − 1)^2 = 9

However this changes if centre coordinate shows negatives

we change negative x or y to + positive in the formula in bold.

Centre coordinate = (3.,1) radius is 3  SO = MUST BE THE RADIUS ^2

= (x - 3)^2 + (y - 1)^2 = 3^2  = 9  

Domain formula = x - r   and x + r

Domain  = 3 - 3 = 0

and - 3 + 3 = -6

Domain = {0.-6}

Range formula = y - r  and  y + r

Range = 1 - 3 = -2

and  1 +3 = 4

Range = {-2, 4}  

3 0
3 years ago
Please help!! "Quadrilateral ABCD is inscribed in the circle below. Find the measure of all four angles."~!!!!!
expeople1 [14]
For a cyclic quadrilateral
The opposite angles are supplementary (meaning they sum up to 180 °)
I.e (x +20) ° + 3x ° =180 °
20 + 4x = 180
4x=180 - 20
4x = 160
Divide through by 4
x = 40 °

Angle at point A
(2x + 38) = (2(40) + 38) = 118 °

Angle at point B
3x = 3(40) = 120 °

Angle at point D
x + 20 = 40 + 20 = 60 °

Angle at point C
The total angle in a quadrilateral is 360 °
I.e 118 + 120 + 298 +
8 0
2 years ago
How can you know if this equation is true? 1/2+3/8=4/10=2/5
allsm [11]
Well first you should know that 4/10 is simplified to 2/5 so that part is correct
But to know of the rest is correct , add the Fractions
so the common denominator will be 8 so 1/2 will become 4/8 + 3/8 = 7/8 but 7/8 does not equal 4/10
7 0
3 years ago
the rope Roz brought with her camping gear is 54 inches long. Roz needs to cut shorter pieces of rope that are each 8 inches lon
KatRina [158]

Answer: 6

Step-by-step explanation:

8x6=48 you would have 6 inches left over

7 0
3 years ago
Point A is at -7, -3. There are 12 points between A and B. What are possible coordinates for point B?
Finger [1]

Answer:

(5,9)

(-19, - 15)

(5, - 15)

(-19, 9)

Step-by-step explanation:

Given that :

Coordinate of point A = - 7, - 3

Number of points between point A and B = 12

Possible coordinate of point B

Possible coordinates of point B:

(-7, - 3) + 12 = (5, 9)

(-7, - 3) - 12 = (-19, - 15)

(-7, - 3) = (-7 +12, -3 - 12) = (5, - 15)

(-7, - 3) = (-7 - 12, - 3 + 12) = (-19, 9)

Hence possible coordinates of be are :

(5,9)

(-19, - 15)

(5, - 15)

(-19, 9)

8 0
3 years ago
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