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krek1111 [17]
3 years ago
14

What is the sum of 2 4/5 + 1 3/9 =

Mathematics
2 answers:
Westkost [7]3 years ago
5 0
2 4/5= 14/5   1 3/9=12/9
14/5= 126/45    12/9=60/45
126/45+60/45=186/45
186/45= 4 6/45
Sergeu [11.5K]3 years ago
5 0
The answer is 4 and 2/15 You have to change the numbers so that they both have a common denominator, add them, then simplify. If you thought this answer was helpful, please mark it as Brainliest! I would greatly appreciate that!
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Given that tan θ ≈ −0.087, where 3 2 π < θ < 2 , π find the values of sin θ and cos θ.
elena-s [515]

Answer:

  • sin θ ≈ -0.08667
  • cos θ ≈ 0.99624

Step-by-step explanation:

Straightforward use of the inverse tangent function of a calculator will tell you θ ≈ -0.08678 radians. This is an angle in the 4th quadrant, where your restriction on θ places it. (To comply with the restriction, you would need to consider the angle value to be 2π-0.08678 radians. The trig values for this angle are the same as the trig values for -0.08678 radians.)

Likewise, straightforward use of the calculator to find the other function values gives ...

  sin(-0.08678 radians) ≈ -0.08667

  cos(-0.08678 radians) ≈ 0.99624

_____

<em>Note on inverse tangent</em>

Depending on the mode setting of your calculator, the arctan or tan⁻¹ function may give you a value in degrees, not radians. That doesn't matter for this problem. sin(arctan(-0.087)) is the same whether the angle is degrees or radians, as long as you don't change the mode in the middle of the computation.

We have shown radians in the above answer because the restriction on the angle is written in terms of radians.

_____

<em>Alternate solution</em>

The relationship between tan and sin and cos in the 4th quadrant is ...

  \cos{\theta}=\dfrac{1}{\sqrt{1+\tan^2{\theta}}}\\\\\sin{\theta}=\dfrac{\tan{\theta}}{\sqrt{1+\tan^2{\theta}}}

That is, the cosine is positive, and the sign of the sine matches that of the tangent.

This more complicated computation gives the same result as above.

4 0
3 years ago
each day alyssa jogs for 25 minutes on a treadmill she jogs 135 meters a minute at the speed at which alyssa is jogging how many
Fittoniya [83]

Answer: she is jogging 2.25 i think

Step-by-step explanation:

im sorry im not sure i just divided 135 by 60 but i dont think its right:(

5 0
3 years ago
An airplane is flying at an altitude of 3,500 feet. It drops 680 feet, and then rises 725 feet. At what altitude is the airplane
Svetradugi [14.3K]
3,500-680= 2,820 feet
2,820+725= 3,545 feet

ANSWER:
3,545 feet
5 0
2 years ago
The combination lock has three wheels, each numbered from 0 to 9. What is the probability that someone randomly guesses the corr
Karolina [17]
Since it is not mentioned in the problem, we will assume that repeating of number is allowed.
For the first wheel, you have 10 possible digits.
For the second wheel, you have 10 possible digits.
For the third wheel, you have 10 possible digits.
10 x 10 x 10 = 1000
The probability that someone randomly guesses the correct combination in his first attempt is 1/1000.

If this was without repeat, then 
10*9*8 = 720
The probability that someone randomly guesses the correct combination in his first attempt is 1/720.
5 0
3 years ago
quadrilateral kstu has vertices at (7,0) (4,-6) (0,-2) and (0,0). rotate 180 degrees around the origin
solong [7]

Step-by-step explanation:

so basically for this on u have to draw this on graph every first number of the coordinate is on x axis e.g . (7,0) 7 is on x axis and 0 is on Y axis. you can use tracing paper for this which will be more helpful as u can trace the shape and move it half way.

As u rotate it around the origin so u just turn it half way. eg I drawn it on the picture.

hope this make sense :)

5 0
3 years ago
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