Answer:
∠2
Step-by-step explanation:
A supplementary angle is a 180° angle formed by two angles. ∠3 and ∠2 form a straight line / 180° angle.
Answer:
a 4 1/5
b 7 7/24
Step-by-step explanation:
a 7/9 * 5 2/5
Change the mixed number to an improper fraction
7/9 * (5*5+2)/5
7/9 * 27/5
Rewrite
7/5 * 27/9
7/5 * 3
21/5
Change this back to a mixed number
5 goes into 21 4 times (4*5 = 20 ) with 1 left over
4 1/5
b 1 3/4 * 4 1/6
Change to improper fractions
(4*1+3)/4 * (6*4+1)/6
7/4 * 25/6
175/24
Change back to a mixed number
24 goes into 175 7 times (7*24 =168 ) with 7 left over
7 7/24
Answer:

Step-by-step explanation:
Given that:

for 
That means, angle
is in the 3rd quadrant.
To find:
Value of cot(t)
Solution:
First of all, let us recall what trigonometric ratios are positive and what trigonometric ratios are negative in 3rd quadrant.
In 3rd quadrant, tangent and cotangent are positive.
All other trigonometric ratios are negative.
Let us have a look at the following identity:

here, 
So, 

But, angle
is in 3rd quadrant, so value of

The answer would be 16 because 40 divided by 5 is 8 and 8 times 2 is sixteen so it would be 16
The volume is 1017.88
If you search up “how to solve a cone” you can get the same answer