Answer:
B
Step-by-step explanation:
Football has the highest number of votes in the chart.
The jar can hold a total of three tomatoes at a time.
<h3>What is
volume?</h3>
Volume is the amount of space occupied by a three dimensional shape or object.
The tomatoes is spherical with a diameter of 6 cm (radius = 6/2 = 3cm), hence:
Volume of tomatoes = (4/3) * π * radius³ = (4/3) * π * 4³ = 268 cm³
The jar is cylinder with diameter of 8 cm (radius = 8/2 = 4) and a height of 21 cm, hence:
Volume of jar = π * radius² * height = π * 4² * 21 = 1055.6 cm³
Amount of tomatoes that can be contained in jar = 1055.6 cm³ / 268 cm³ = 3.9
The jar can hold a total of three tomatoes at a time.
Find out more on volume at: brainly.com/question/12410983
Answer: 10*(cos(pi) + i*sin(pi))
=======================================
Work Shown:
z1 = 1+i is in the form a+bi where a = 1 and b = 1
r = sqrt(a^2+b^2)
r = sqrt(1^2+1^2)
r = sqrt(2)
theta = arctan(b/a)
theta = arctan(1/1)
theta = pi/4
The polar form for z1 is
z1 = r*(cos(theta) + i*sin(theta))
z1 = sqrt(2)*(cos(pi/4)+i*sin(pi/4)
----------------
z2 = -5+5i is in the form a+bi where a = -5 and b = 5
r = sqrt(a^2+b^2)
r = sqrt((-5)^2+5^2)
r = sqrt(50)
r = 5*sqrt(2)
theta = arctan(b/a)
theta = arctan(5/(-5))
theta = 3pi/4
The polar form for z2 is
z2 = r*(cos(theta) + i*sin(theta))
z2 = 5*sqrt(2)*(cos(3pi/4)+i*sin(3pi/4)
----------------
Now use the rule
If
z = a*(cos(b) + i*sin(b)) and w = c*(cos(d)+i*sin(d))
then
z*w = a*c*(cos(b+d)+i*sin(b+d))
We have
a = sqrt(2)
b = pi/4
c = 5*sqrt(2)
d = 3pi/4
So...
z*w = a*c*(cos(b+d)+i*sin(b+d))
z1*z2 = sqrt(2)*5*sqrt(2)*(cos(pi/4+3pi/4)+i*sin(pi/4+3pi/4))
z1*z2 = 10*(cos(4pi/4)+i*sin(4pi/4))
z1*z2 = 10*(cos(pi)+i*sin(pi))
which is the answer in polar form
Answer:
PLEASE SOMEONE ANSWER THIS, PLEASE!!!!!!!!!!!!
Step-by-step explanation:
Answer: ( y - 1 ) = m ( x - 6 )
Step-by-step explanation:
