Blank hundreds is the same as 4 thousand

Mark the statements that are true.

lara [203]

Answer:

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

7 0

3 years ago

The fractions of -42/-45 and 14/15 are equivalent

FromTheMoon [43]

Yes, that is true, you have to simplify -42/-45 to be able to see if they are equivalant.
$\frac{ - 42}{ - 45} = \frac{14}{15}$

8 0

3 years ago

Name the angle pair relationship and solve for the given angle

Natasha_Volkova [10]

Answer:

The angle (7x-14) and (4x+19) are corresponding angles. Both angles are 63 degrees.

Step-by-step explanation:

Since the two angles are corresponding, they are equal.

7x-14 = 4x + 19

Subtract the 4x on right side to get 19 alone. Do the same on the left side since, whatever you do on one side, you have to do to the other.

3x-14 = 19

Add the -14 on the left side to get 3x alone. Do the same on the right side since, whatever you do on one side, you have to do to the other.

3x = 33

Divide by 3.

x = 11

4 0

2 years ago

Solve for x: negative 3 over 2, multiplied by x minus 9 equals negative 27 −24 −12 11 12 Btw please show the work bc i not only

Firdavs [7]

Answer:

$\boxed{ x = 12}$

Step-by-step explanation:

<u>Given Equation is:</u>

$\frac{-3}{2} (x) - 9 = -27$

Adding 9 to both sides

=> $\frac{-3x}{2} = -27+9$

=> $\frac{-3x}{2} = -18$

Multiplying 2 to both sides

=> -3x = -18 * 2

=> -3x = -36

Dividing both sides by -3

=> x = 12

6 0

3 years ago

Read 2 more answers

The zookeeper starts with 100.75 pounds of food and tracks how much the otter eats and any food deliveries. What is the food sup

Airida [17]

Answer:

Part A

Eagle = 6 lbs * 60%

= 6 * 0.6

= 3.6 pounds

Bear = 105 lbs * 25%

= 105 * 0.25

= 26.25 pounds

3.6 + 26.25 = 29.85 pounds

Part B

Percent Increase = Change/Original * 100

= 10/105 * 100

= 9.52%

Step-by-step explanation:

hope this helps bye

8 0

2 years ago