Answer:
we should know that :
sin ( a + b ) = sin a * cos b + sin b cos a
For the given equation :
sin (π + q) = sin π * cos q + sin q * cos π
sin π = zero and cos π = -1
∴ sin (π + q) = 0 * cos q + sin q * (-1) = - sin q
<u>Another solution:</u>
The angle (π + q) lies in the third quarter ⇒ (1)
(π + q) and (-q) are supplementary angles ⇒ (2)
From (1) and (2)
sin(π + q) = -sin q
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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<em>Answer</em>
a. Vertical shrink by a factor of 1/3
<em>Step-by-step explanation</em>
Function transformation
• a,f(x) vertically compresses f(x) when 0 < a < 1
Given the function:
Multiplying f(x) by a = 1/3, we get:
Then, f(x) is vertically shrunk by a factor of 1/3
Answer:
the answer is written in the picture.
Answer:
0.75
Step-by-step explanation:
The equation representing direct proportion is
y = kx ← k is the constant of proportionality
s = 0.75u ← is in this form
with k = 0.75
