Mathematics: Mark the statements that are true. A. An angle that measuresradians also measures 30°.pi/6O B. An angle that measures pi/3radians also measures 45°O C. An angle that measures 180° also measures pi radians.D. An angle that measures 30° also measures pi/radians.

Mark the statements that are true. A. An angle that

Ответ:

ilovecatsomuchlolol

29.01.2022

Mathematics

Correct answers:

A. An angle that measures $\frac{\pi}{6}$ radians also measures 30^o

C. An angle that measures 180^o also measures $\pi$ radians

Step-by-step explanation:

Recall the formula to transform radians to degrees and vice-versa:

$\angle\,radians=\frac{\pi}{180^o} \,* \,\angle degrees\\ \\\angle\,degrees=\frac{180^o}{\pi} \,* \,\angle radians$

Therefore we can investigate each of the statements, and find that when we have a $\frac{\pi}{6}$ radians angle, then its degree formula becomes:

$\angle\,degrees=\frac{180^o}{\pi} \,* \,\angle radians\\\angle\,degrees=\frac{180^o}{\pi} \,* \,\frac{\pi}{6} \\\angle\,degrees=\frac{180^o}{6} \\\angle\,degrees=30^o$

also when an angle measures 180^o , its radian measure is:

$\angle\,radians=\frac{\pi}{180^o} \,* \,\angle degrees\\\angle\,radians=\frac{\pi}{180^o} \,* \,180^o\\\angle\,radians=\pi$

The other relationships are not true as per the conversion formulas

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Ответ:

therealdest

09.11.2020

Mathematics

Number of small boxes shipped = 10

Number of large boxes shipped = 12

Step-by-step explanation:

Let x be the number of small boxes

and

y be the number of large boxes

According to the first statement, a total of 22 boxes were shipped

Equation 1 will be:

x+y=22

And

According to 2nd statement, Total weight was 1350 and we know the weight of one small box is 45 and large box is 75

So equation 2 will be:

45x+75y=1350

We will use the substitution method for solving the equation

So from equation 1

$x+y=22\\x=22-y$

Putting the value of x in eqn 2

$45x+75y=1350\\45(22-y)+75y=1350\\990-45y+75y=1350\\-45y+75y=1350-990\\30y=360\\\frac{30y}{30}=\frac{360}{30}\\y=12$

Putting the value of y in eqn 1

$x+y=22\\x+12=22\\x=22-12\\x=10$

So,

Number of small boxes shipped = 10

Number of large boxes shipped = 12 ..

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Mark the statements that are true. A. An angle that measures
radians also measures 30°.
pi/6
O B. An angle that measures pi/3
radians also measures 45°

O C. An angle that measures 180° also measures pi radians.
D. An angle that measures 30° also measures pi/radians.

Ответ:

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