The answer is 17 because 5 times 5 is 25. 25 minus 8 is 17.
Answer:
the volume of the hemisphere is 1970.2 cubic inches.
Step-by-step explanation:
The given is,
Radius of hemisphere is 9.8 inches.
Step:1
Formula of volume of hemisphere is,
..................(1)
Where,
r - Radius of hemisphere
Step:2
From the given,
r = 9.8 inches
Equation (1) becomes,
=
=
= (0.66666666)(3.1415)(942.192)
= 1971.23
Volume of hemisphere = 1971.23 cubic inches
Result:is 1970.2 cubic inches.
Answer:
35
Step-by-step explanation:
if you order the numbers from least to greatest, there are 14 numbers (which is even which means their is going to be two median. when you have two medians you add them and then divide them by 2) 35 + 35 = 70, 70 divided by 2 is 35. the answer is 35!
The minimum distance will be along a perpendicular line to the river that passes through the point (7,5)
4x+3y=12
3y=-4x+12
y=-4x/3+12/3
So a line perpendicular to the bank will be:
y=3x/4+b, and we need it to pass through (7,5) so
5=3(7)/4+b
5=21/4+b
20/4-21/4=b
-1/4=b so the perpendicular line is:
y=3x/4-1/4
So now we want to know the point where this perpendicular line meets with the river bank. When it does y=y so we can say:
(3x-1)/4=(-4x+12)/3 cross multiply
3(3x-1)=4(-4x+12)
9x-3=-16x+48
25x=51
x=51/25
x=2.04
y=(3x-1)/4
y=(3*2.04-1)/4
y=1.28
So now that we know the point on the river that is closest to Avery we can calculate his distance from that point...
d^2=(x2-x1)^2+(y2-y1)^2
d^2=(7-2.04)^2+(5-1.28)^2
d^2=38.44
d=√38.44
d=6.2 units
Since he can run at 10 uph...
t=d/v
t=6.2/10
t=0.62 hours (37 min 12 sec)
So it will take him 0.62 hours or 37 minutes and 12 seconds for him to reach the river.
Answer:
yes
Step-by-step explanation:
