Answer:
Step-by-step explanation:
The total surface area of the sphere = 2πr²
Total surface area of the cylinder = 2πr²+2πrh
Total surface area of the solid = 4πr²+2πrh
r is the radius of the sphere and the cylinder
h is the height of the cylinder
Total surface area of the solid = 2πr(r+h)
If the total height of the solid is 18 cm, then r+h = 18cm
Given the Total surface area of the solid = 205π cm
205π = 2πr(r+h)
205π = 2πr(18)
205π = 36πr
205 = 36r
Divide both sides by 36
205/36 = 36r/36
r = 5.69cm
Since r+h = 18cm
5.69+h = 18
h = 18-5.69
h = 12.31cm
Since the measure of angle 
is 
The measure of its reference angle = 
=
Now we have to compute the value of 
The value of (
) lies in the fourth quadrant. In fourth quadrant, the value of tan is always negative.
So, 
= -1.
Alright, so we know that there are 7 days a week with 24 hours per day.
24x7= 168 hours a week.
Convert the problem to an equation using the percentage formula: P% * X = Y.
Let's take the 40% that is Sleep and use it in the percentage formula with the 168 hours.
40%x168= roughly 67 hours.
Hope this helped!
1. You have that two sides of a triangle have lengths of 6 and 13. Then, by the <span>Triangle Inequality Theorem, you have:
a+b>c
a+c>b
b+c>a
3. Therefore, you have:
a=6
b=13
c<a+b
c<6+13
c<19
4. The difference between a and b should be lesser that c. Then
a-b<c
13-6<c
7<c
5. Therefore:
c=x
7<x<19
The correct answer is the option B: </span>
B. 7<x<19<span>
</span>
Answer:
-1
Step-by-step explanation:
Rewrite i 14 as ( i 4 ) 3 × i 2 . If i = √ − 1 , then i 2 = − 1 .
From here ( i 2 ) 2 = ( − 1 ) 2 , so i 4 = 1 . If i 4 = 1 ,
then we can say that: i 14 = ( 1 ) 3 × i 2 = i 2 = − 1
