From Geometry, we know that angles form a family of coterminal angles as function of number of revolutions done on original angle. We can represent the set of all coterminal angles by means of the following expression:

$\theta_{c} = \theta_{o} + 360\cdot i$ , $i \in \mathbb{Z}$ (1)

Where:

$\theta_{o}$ - Original angle, in sexagesimal degrees.

$\theta_{c}$ - Coterminal angle, in sexagesimal degrees.

$i$ - Coterminal angle index, no unit.

If we know that $\theta_{o} = -215^{\circ}$ and $i = 1$ , then the coterminal angle that is less than 360° is:

$\theta_{c} = -215^{\circ} + 360\cdot (1)$

$\theta_{c} = 145^{\circ}$

The positive angle less than 360° that is coterminal with -215° has a measure of 145°.

8 0

3 years ago

PLEASE HELP! The table defines a function (x:7,10,13,16) (y:21,30,39,48)

Nataly [62]

Answer:

(x:21,30,39,48)(y:7,10,13,16)

Step-by-step explanation:

For an inverse, the x value becomes the output and the y values becomes the input

(x:21,30,39,48)(y:7,10,13,16)

6 0

3 years ago

68/80 as a fraction,percent,and decimal

Sholpan [36]

Fraction: 17/20
Divide by 4 to get 17/20
(68/4)/(80/20)

Percent: 85%
Using 17/20 -Multiply each side by 5 to get ____/100
17*5/20*5 = 85/100 or 85%

Decimal: 0.85
Using 85/100, divide it out to get 0.85.

5 0

4 years ago