Select all that are measures of angles coterminal with a –60° angle.

Mathematics

2 answers:

miss Akunina [59]2 years ago

6 0

Answer:

Co-terminal angles from given options are 300° , - 420°, 660°, - 780°.

Step-by-step explanation:

Co-terminal angles are angles that have same terminal and initial sides.

We can find co-terminal angles by simply adding or subtracting k ×360° (where k = 1,2,3...) to the given angle.

So, co-terminal angle to -60° angles

- 60° + 360° = 300°

- 60° - 360° = - 420°

- 60° + 2×360° = - 60° + 720° = 660°

- 60° -2×360° = - 60° - 720° = - 780°

- 60° + 3×360° = - 60° + 1080° = 1020°

- 60° -2×360° = - 60° - 1080° = - 1140°

Thus, Co-terminal angles from given options are 300° , - 420°, 660°, - 780°.

monitta2 years ago

4 0

-60

-60 + 360 = 360 -60 = 300

-60 + 360 + 360 = -60 +720 = 720 - 60 = 660

Also for the negative.

-60 -360 = -420

-60 -360 -360 = -780

-780°, -420°, 300°, 660°

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1 Point

I am Lyosha [343]

Option C

The ratio for the volumes of two similar cylinders is 8 : 27

<h3>Solution:</h3>

Let there are two cylinder of heights "h" and "H"

Also radius to be "r" and "R"

$\text { Volume of a cylinder }=\pi r^{2} h$

Where π = 3.14 , r is the radius and h is the height

Now the ratio of their heights and radii is 2:3 .i.e

$\frac{\mathrm{r}}{R}=\frac{\mathrm{h}}{H}=\frac{2}{3}$

Ratio for the volumes of two cylinders

$\frac{\text {Volume of cylinder } 1}{\text {Volume of cylinder } 2}=\frac{\pi r^{2} h}{\pi R^{2} H}$

Cancelling the common terms, we get

$\frac{\text {Volume of cylinder } 1}{\text {Volume of cylinder } 2}=\left(\frac{\mathrm{r}}{R}\right)^{2} \times\left(\frac{\mathrm{h}}{\mathrm{H}}\right)$