<span>At the beginning of the recent period, there were 900 units of product in a department, 35% completed. these units were finished and an additional 5,000 units were started and completed during the period. 800 units were still in process at the end of the period, 25% completed. using the weighted average method, the equivalent units produced by the department were:</span>6,100 units
25% off translates into 0.25($30) = $7.50 off.
A faster way to determine the sales price is to subtract 0.25 from 1.00 and then mult. the regular price by the result: sales price = 0.75($30) = $22.50 (answer)
A right triangle with congruent legs is always a 45-45-90 triangle. It’s true.
Answer:
a
Step-by-step explanation:
given a quadratic equation in standard form
ax² + bx + c = 0 ( a ≠ 0 )
then the discriminant
Δ = b² - 4ac
• if b² - 4ac > 0 then 2 real solutions
• if b² - 4ac = 0 then 2 real and equal solutions
• if b² - 4ac < 0 then no real solutions
given
x² - 3x = - 4 ( add 4 to both sides )
x² - 3x + 4 = 0 ← in standard form
with a = b = - 3 , c = 4
then
b² - 4ac = (- 3)² - ( 4 × × 4) = 9 - 12 = - 3
since b² - 4ac < 0 then equation has no real solutions
Square both given expressions and add them together. Make use of trig identities.
(sin(a) +sin(b))^2 = sin(a)^2 +2sin(a)sin(b) +sin(b)^2 = 5/3
(cos(a) +cos(b))^2 = cos(a)^2 +2cos(a)cos(b) +cos(b)^2 = 1
Adding, we have
sin(a)^2 +cos(a^2) +2(cos(a)cos(b) +sin(a)sin(b)) +sin(b)^2 +cos(b)^2 = 2 2/3
Of course, the first and last pairs of terms are 1 and 1, and the middle product is 2cos(a-b), so you have
1 + 2cos(a-b) +1 = 2 2/3
cos(a-b) = 1/3
