Answer:
Step-by-step explanation:
Given:
Cost of L = $5
Cost of S = $3
No. of drinks sold = 60 drinks
Total sale = $220
Solution:
L + S = 60 - (1) (multiplying by 3)
5L + 3S = 220 - (2)
(-)3L +(-) 3S = (-)180 - (1)
2L = 40
L = 40 / 2
L = 20 Large drinks
20 + S = 60
S = 60 - 20
S = 40 small drinks
Therefore, 20 large drinks and 40 small drinks
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Answer:
a) shown
b) h = [sqrt(17) - (5/2)t]²
c) t = 2sqrt(17)/5 seconds
Step-by-step explanation:
V = pi × r² × h
V = pi × 5² × h
V = 25pi × h
a) dV/dt = dV/dh × dh/dt
-5pi × sqrt(h) = 25pi × dh/dt
dh/dt = -sqrt(h)/5
b) 1/sqrt(h) .dh = -5. dt
2sqrt(h) = -5t + c
t = 0, h = 17
2sqrt(17) = 0 + c
c = 2sqrt(17)
2sqrt(h) = -5t + 2sqrt(17)
sqrt(h) = [2sqrt(17) - 5t] ÷ 2
sqrt(h) = sqrt(17) - (5/2)t
Square both sides
h = [sqrt(17) - (5/2)t]²
c) empty: h = 0
0 = [sqrt(17) - (5/2)t]²
sqrt(17) - (5/2)t = 0
(5/2)t = sqrt(17)
t = 2sqrt(17)/5
t = 1.64924225 seconds
sqrt: square root
The diagonals intersect perpendicularly, two consecutive angled are supplementary, and that opposite angles are equal
Answer:
So we have two given angles- 31* and 43*.
First we add those together.
31* + 43* = 74*
Then, we subtract that amount from 180*
180* - 74* = 106*
106* is the missing angle.
x106* - 31* = 75*
x106* + 43* = 149*
~Hope this helps~