14 cups. He's making three pizzas so he needs 3 pizzas' worth of flour. For one, he needs two. So he needs six cups in total. 20-6=14
You start at 18 feet, go down to -14, go down 4 feet to -18 feet or C
9514 1404 393
Answer:
Step-by-step explanation:
We can let d represent the number of dimes. Then the number of quarters is 23-d, and the total value of the change is ...
0.10d + 0.25(23 -d) = 4.70
-0.15d + 5.75 = 4.70
1.05 = 0.15d . . . . . . . . add 0.15d -4.70 to both sides
7 = d . . . . . . . . . . . . . . divide by 0.15
There were 7 dimes in the change purse.
__
There were 23-7 = 16 quarters.
Answer:
<u>(3); (-1/2); (-4)</u>
Step-by-step explanation:
First, you should convert the equation into cubic form.
r(x)=(x^2+x−12)(2x+1)
<u>2x^3 +3
x^2
− 23x− 12=0</u>
Next, use the rational roots test to find the first root.
<u>(-1/2) </u>
Using the factor theorem you can find the other roots.
<u>(3)</u> <u>(-4)</u>
Step-by-step explanation:
LHS = Left Hand Side ; RHS = Right Hand Side
a) RHS = 1/ tan x
= 1/ (Sin x/Cos x)
= Cos x/Sin x
= LHS
b) LHS = Sin^2 x / tan^2 x
= Sin^2 x / (Sin^2 x/Cos^2 x)
=( Sin^2 x * Cos^2 x) / (Sin^2 x)
= Cos^2 x
= 1 - Sin^2 x (Because sin^2 x + cos^2 x = 1)
= RHS
c) RHS = Sin^3 x / tan x + Cos^3 x
= Sin^3 x / (Sinx/Cosx) + Cos^3 x
= (Sin^3 x * Cos x)/Sin x + Cos^3 x
= Sin^2 x * Cos x + Cos^3 x
= Cos x (Sin^2 x + Cos^2 x)
= Cos x *(1) {Because, Sin^2 x + Cos^2 x = 1}
= Cos x
= LHS