Let
Vco------------------- >Volume cone
Vcy------------------ >Volume cylinder
r= 8mm
hco----------- > height of cone=18 mm
hcy------------ > height of cylinder =54-18=36 mm
then
Vco=π*r² *hco/3--------- > π*8² *18/3=π*384 mm³
Vcy=π*r² *hcy--------- > π*8² *36=π*2304 mm³
the total cubic millimeters of sand=Vco+Vcy=π*384+π*2304=π*2688
if 10π cubic millimeters --------------------- > 1 seg
π*2688--------------------------------- X
X=π*2688/10π=268.8 seg
the answer is 268.8 seg
Answer:
Step-by-step explanation:
<u>6-digit palindrome is the number n the form of:</u>
<u>This is divisible by 11 by default as the sum of the digits in odd placed is same as sum of the number in even places (remember the divisibility rule by 11):</u>
Now, in order to be divisible by 99, the number must be divisible by 11 and 9.
According to divisibility rule by 9 the sum of all digits must be divisible by 9. <u>You can see In our case we need to have (the minimum):</u>
<u>The smallest number we could get is when x is minimum, y is minimum, so:</u>
<u>The number we get is:</u>
<u>Proof:</u>
Answer:
Step-by-step explanation:
Given
tan x = 
, then
x = 
( ) = 60° ← related acute angle
Since 180° < x < 270° and tan x > 0 then x is in third quadrant
x = 180° + 60° = 240°
and
sin(x - 210)°
= sin(240 - 210)°
= sin30°
=
42 can be
1 x 42, or
2 x 21, or
3 x 14, or
6 x 7 .
3.) f(x)=-2(x+1)^2+3
Domain: (- infinity, infinity)
Range:(-infinity,3]
Vertex: (-1,3)
Axis of symmetry: x=-1
Opens downward
4.) f(x)=9(x-2)^2-3
D:(-infinity, infinity)
R: [-3,infinity)
Vertex: (2,-3)
Axis: x=2
Opens upward
6.)
D:(-infinity, infinity)
R:(-infinity,0]
Vertex: (5,0)
Axis: x=5
Opens downward
