The volume of a cone is V=(1/3)(area of the base)(height)= (1/3)(pi*r^2)(h)
r^2= (d/2)^2 = (d^2)/4. Given: V= 301.44cm^3 and h= 18cm.
r^2= V/[(1/3)(pi)(h)]
r^2= 3V/(pi)(h)
(d^2)/4= 3(301.44)/(3.14)(18)
d^2= 12(301.44)/(3.14)(18)
d^2= 63.967
d= 7.997
d~= 8cm.
Subtracting a negative number is like removing debt. When you remove debt, you effectively gave someone money and the value of their bank account increased.
Another answer is that “subtraction is addition of the opposite,” so subtracting a negative number is really adding a positive number, which again causes the other number to increase.
<u>113.04 ft2</u>
Step-by-step explanation:
r=d/2=12/2=6
A= pi*r*r=3.14*6*6
A=113.04
We have that
<span>tan(theta)sin(theta)+cos(theta)=sec(theta)
</span><span>[sin(theta)/cos(theta)] sin(theta)+cos(theta)=sec(theta)
</span>[sin²<span>(theta)/cos(theta)]+cos(theta)=sec(theta)
</span><span>the next step in this proof
is </span>write cos(theta)=cos²<span>(theta)/cos(theta) to find a common denominator
so
</span>[sin²(theta)/cos(theta)]+[cos²(theta)/cos(theta)]=sec(theta)<span>
</span>{[sin²(theta)+cos²(theta)]/cos(theta)}=sec(theta)<span>
remember that
</span>sin²(theta)+cos²(theta)=1
{[sin²(theta)+cos²(theta)]/cos(theta)}------------> 1/cos(theta)
and
1/cos(theta)=sec(theta)-------------> is ok
the answer is the option <span>B.)
He should write cos(theta)=cos^2(theta)/cos(theta) to find a common denominator.</span>
Answer:
100 J
Step-by-step explanation:
Kinetic energy is jointly proportional to mass and the square of the velocity.
KE = 1/2mv²
KE = 1/2(50 kg)(2 m/s)² = 100 J
Juan has a kinetic energy of 100 joules.
