Answer:
I would say the answer is c
Answer:
Dots sold 152 t-shirts and 38 shorts sold.
Step-by-step explanation:
Let t = t-shirts and s = shorts.
We know that people bought 4 times as many t-shorts as shorts, which can be set to the equation t = 4s
Since t-shirts cost $2, shorts cost $4, and the total sales was $456, we can set the equation 2t +4s = 456
So our two equations are:
t = 4s
2t + 4s = 456
Substitute t from the 1st equation into the 2nd:
2(4s) + 4s = 456
8s + 4s = 456
12s = 456
s = 38
There were 38 shorts sold.
Since we have the number of shorts, we can plug that back into the 1st equation to find the number of t-shirts sold:
t = 4s
t = 4(38)
t = 152
There were 152 t-shirts sold.
4x^2-3x+4y^2+4z^2=0
here we shall proceed as follows:
x=ρcosθsinφ
y=ρsinθsinφ
z=ρcosφ
thus
4x^2-3x+4y^2+4z^2=
4(ρcosθsinφ)^2-3(ρcosθsinφ)+4(ρsinθsinφ)^2+4(ρcosφ)
but
ρ=1/4cosθsinφ
hence we shall have:
4x^2-3x+4y^2+4z^2
=1/4cosθsinθ(cosθ(4-3sinφ))+4sin^2(φ)
Answer:
Step-by-step explanation:
Given
See attachment
Required
Determine the measure of 
and 
are on a straight line.
So:
--- angle on a straight line
Substitute known values
Collect like terms
