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Artemon [7]
3 years ago
6

Find the exact real value of arcsinThe quantity negative one half.

Mathematics
2 answers:
soldi70 [24.7K]3 years ago
8 0

Answer:

210 or 330 degrees  for  angles between 0 and 360 degrees.

Step-by-step explanation:

Arcsin (1/2) =  30 degrees if the angle is in the first quadrant.

The sine is negative in the third and fourth quadrants so arcsin (-1/2)

= 210 or 330 degrees  for  angles between 0 and 360 degrees.

Nikolay [14]3 years ago
3 0

Answer:

-pi/6

Step-by-step explanation:

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WITCHER [35]

Angle O=64

Side m=7.3159882(rounded if needed)

Side n=16.68902(round if needed)

We are given

Angle M which equal 26.

Angle N equals 90 degrees

Side MN which equal 15.

We are asked to find all the missing elements of the triangle.

  1. Angle O can be found using triangle interior theorem so we can add 90+26+x =180 to find the value that satisfies the x value.

90 + 26 + x = 180

116 + x = 180

x = 64

Angle O=64 degrees

We can find side m by doing law of sines.

\frac{on}{ \sin(26) }  =  \frac{mn}{ \sin(64) }

\frac{on}{ \sin(26) }  =  \frac{15}{ \sin(64) }

on =  \frac{15}{ \sin(64) }  \times  \sin(26)

which is 7.315(round if neeeded).

We can find side n using pythagorean theorem,

{15}^{2}  +  {7.3}^{2}  =  {n}^{2}

225 + 53.29 =  {n}^{2}

\sqrt{278.29}

Side n=16.689(round if needed)

4 0
2 years ago
The sum of three consecutive integers is 36. Find the largest integer.
cestrela7 [59]

Answer:

13

Step-by-step explanation:

(n-2) +(n-1) +n =3n-3=36

n=(36+3)/3=13

Consecutive integers are 11,12 and 13

5 0
3 years ago
Read 2 more answers
Fatima plotted one side of a heptagon on a grid. the points (-8,1) and (-8,8) are joined to form a side of the heptagon. Fatima
Reil [10]

The general formula for the distance between two points is

d(A,B) = \sqrt{(A_x-B_x)^2 + (A_y-B_y)^2}

Anyway, if A and B have the same x or y coordinates, this formula can be simplified. For example, in this case the two points have the same x coordinate of -8, so the following part of the formula simplifies:

(A_x-B_x)^2 = (-8-(-8))^2 = (-8+8)^2 = 0^2 = 0

So, we're left with

d(A,B) = \sqrt{(A_y-B_y)^2}

but the square root of a square is the absolute value of the object being squared:

d(A,B) = \sqrt{(A_y-B_y)^2} = |A_y-B_y|

which is this case means |1-8| = |-7| = 7

which is the correct length of the side.

4 0
3 years ago
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The figure below shows a shaded rectangular region inside a large rectangle: (pic)
mariarad [96]

Answer:

D


Step-by-step explanation:

Probability of falling NOT in the shaded region is "area of white region" <em>divided by</em> "area of whole rectangle (big one)".


<u>Area of whole rectangle:</u>

Area of rectangle = length * width = 10 * 5 = 50


<u>Area of White Region:</u>

First, area of shaded region = length * width = 4 * 2 = 8

Now,

Area of white region = area of whole rectangle - area of shaded rectangle

Area of white region = 50 - 8 = 42


Hence, probability is \frac{42}{50}=0.84

0.84 = 84%

Answer choice D is right.





8 0
3 years ago
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