1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Luda [366]
3 years ago
12

If the cos 30° = square root 3 over 2, then the sin 60° = _____. 0, because the angles are complementary 1 over 2, because the a

ngles are complementary square root 3 over 2, because the angles are complementary 1, because the angles are complementary
Mathematics
2 answers:
sveta [45]3 years ago
7 0

Answer:

\frac{\sqrt{3} }{2}, because the angles are complementary

Step-by-step explanation:

The sine and the cosine functions are complementary functions.

This means that;

\cos(\theta)=\sin(90-\theta)

Or

\sin(\theta)=\cos(90-\theta)

If \cos(30\degree)=\frac{\sqrt{3}}{2}, then

\sin(60\degree)=\frac{\sqrt{3}}{2}

The correct answer is

\frac{\sqrt{3} }{2}, because the angles are complementary

leva [86]3 years ago
3 0
Well, the answer would be square root of 3 over 2 because of the unit circle. So, the answer choice should be which ever one involved square root 3 over 2
You might be interested in
There's a width of 8 in., a length of 20 in., and a height of 12 in.
Setler [38]

Answer:

a.

Approximately 24.7\; \rm in.

b.

While there are three diagonals in a box (a rectangular prism,) all three diagonals goes through the same point- the centroid of this box.  

For a maximum-length poster to fit in this box, it would have to be on one of the main diagonals of this box. Hence, any maximum-length poster that fits in this box would go through the centroid of this box.

It's not possible to force more than one posters to go through the same point (i.e., the centroid) in space. Hence, it would not be possible to fit a second maximum-length poster into this box.

This argument does not apply to  21.5\; \rm in posters. These posters are shorter than the diagonal of this box; they could fit inside the box without having to go through a particular point in space.

Step-by-step explanation:

The longest poster that could be fit into this box (a rectangular prism) would be as long as the longest line segment in this box. That line segment would be one of the three diagonals of this box.

Apply the Pythagorean theorem twice to find the length of that diagonal.

Start by finding calculating the diagonal of the base of this box. The base of this box is a rectangle with width 8\; \rm in and length 10\; \rm in. The length of its diagonal would be \sqrt{8^2 + 10^2} inches.

Combine that with the height of this box to find the length of the diagonal of this box.

\begin{aligned}& \sqrt{{\left(\sqrt{8^2 + 10^2}\right)}^2 + 12^2  \\ &= \sqrt{8^2 + 10^2 + 12^2} \\ &\approx 24.7 \end{aligned}.

7 0
3 years ago
10^r=1 solve for r please
Fed [463]

Answer:

r = 1/10

Step-by-step explanation:

To get to one tenth of a number, the exponent of that number will be one tenth. In equation form, x^1/10=1/10x. Let x equal any real number. Hope I've helped <3

3 0
3 years ago
What is 5 plus 6 minus 9
kap26 [50]
5+6 is 11 and 11-9 is 2
and also
6-9 is -3 and -3+5 is 2
so it is 2
8 0
2 years ago
Help on 9 &amp; 10 please!
Mandarinka [93]

Step-by-step explanation:

9. x and z are equal. y+z=90

   148-x=180 x+148 are supplementary

   -148    -148 Subtract 148 from both sides to isolate x

         x=32 degrees

         z=32 degrees b/c x and z are equal

 y+z=90 y and z are complementary

 y+(32)=90 Substitute 32 in for z

   -32     -32

 y         =58 degrees

10. (4x-25)=(2x+7) B/c of the bisection, the two angles are equal.

     4x-25  =2x+7 Remove parenthesis

      -2x       -2x Subtract 2x from both sides

     2x-25  =    +7

          +25       +25 Add 25 to both sides to isolate x

    2x         =     32

     /2                 /2 Divide both sides by 2 to isolate x

     x            =     16

 (4(16)-25)+(2(16)+7)=78 degrees Substitute 16 into the equation, this time adding the values instead of setting them equal to get the angle measure requested.

11. (6x-47)+(x+4)=90 Angles that are complementary add up to 90 degrees

    7x-43            =90 Add like terms

         +43             +43 Add 43 to both sides to isolate x

   7x                    =133

   /7                       /7 Divide both sides by 7 to isolate x

     x                     =19

((19)+4)=23 degrees Substitute x into the angle measure requested

12. 180=2x-9+x Use the words to help you determine what each value is.

     180=3x-9 Add like terms

     +9        +9 Add 9 to both sides to isolate x

     189=3x

     /3     /3 Divide both sides by 3 to isolate x

     63=x

 2(63)-9=177 degrees Substitute 63 into x to find the requested angle measure.

3 0
2 years ago
24 is equal to 3 more than the product of 7 and number
Lostsunrise [7]

24 = 7x + 3

7x = 21

21/7 = 3, so:

x = 3

The number is 3

7 0
3 years ago
Other questions:
  • What is the United States opportunity cost of producing 1 stereo?
    15·1 answer
  • ASSIGNMENTS
    12·1 answer
  • Complete the equation so that it has solutions of –5 and 7.
    12·2 answers
  • How do I solve this x/2-1=x/5+2
    11·1 answer
  • What is (24 dived by 3) 3 and show work
    10·1 answer
  • 13. The table shows the height of a plant as it grows. Which equation in point-slope form gives the
    11·1 answer
  • I'll give brainliest<br><br> reflect (-4,4) in the x-axis
    8·1 answer
  • What is the area of this polygon?<br><br> 40 cm2<br> 18 cm2<br> 16 cm2<br> 24 cm2
    9·2 answers
  • STEP BY STEP what is 8-11
    10·2 answers
  • Identify two fractions equivalent to 12/60.
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!