Answer:
210° , 330°
Step-by-step explanation:
using the sides of the 30- 60- 90 triangle
with legs 1,
and hypotenuse 2 , then
= 30° ← related acute angle
since
- 
then angle is in third / fourth quadrants , then required angles are
180° + 30° = 210° ← in third quadrant
360° - 30° = 330° ← in fourth quadrant
Answer:
48
Step-by-step explanation:
We are asked that the value of (4n + 7) will be an integer > 1 and < 200, for how many integer values of n.
So, equating (4n + 7) with 200 we can get the value.
4n + 7 = 200
⇒ 4n = 193
⇒ n = 48.25
Hence, the value of n will be the largest integer less than 48.25.
Therefore, the number of integer values of n will be 48. (Answer)
Answer:3:1
Step-by-step explanation:
Given
There are 27 solid spheres of radius x cm
The volume of a sphere is 
The volume of 27 old spheres is the same as the volume of a new sphere
The volume of the old spheres is

The volume of a new sphere is

Now,

Answer:
$81.55
Step-by-step explanation:
$15+15%=15x1.15=$17.25
$23+10%=23x1.1=$27.50
$32+15%=32x1.15=$36.80
Total=$81.55
(Time to find a cheaper shop)
5 because these numbers are all equally divisible.