Answer:
A (2,-2.5)
Step-by-step explanation:
Is 2 units right and 2.5 units down, right where point C is.
Answer:
a. 11/5 pi; -9/5 pi
Step-by-step explanation:
Coterminal angles are those which have a common terminal side. For example 30° is coterminal with −330° and 390° (see figure).
From the example we can see that the following expressions must be fulfilled:
positive angle - reference angle = 360°
reference angle - negative angle = 360°
where positive angle is 390°, reference angle is 30° and negative angle is -330°. In this problem reference angle is pi/5. Also, we have to change 360° for its equivalent in radians, i. e., 2 pi. So,
positive angle - pi/5 = 2 pi
positive angle = 2 pi + pi/5
positive angle = 11/5 pi
pi/5 - negative angle = 2 pi
negative angle = pi/5 - 2 pi
negative angle = -9/5 pi
Answer:
$1,956.80
Step-by-step explanation:
For amounts over $6000, the commission can be computed as ...
0.14s -300 . . . . . . for sales (s) ≥ 6000
So, for $16,120 in sales, the commission is ...
0.14×$16,120 -300 = $2,256.80 -300 = $1,956.80
__
The commission schedule suggests that for larger amounts, you divide the problem into two parts: calculate the commission on $6000, and separately calculate the commission on the amount over $6000.
0.14(s -6000) + 0.09(6000)
= 0.14s - 0.14·6000 +0.09·6000
= 0.14s -300 . . . . the formula used above for s ≥ 6000
Answer:
The given equation having only one solution i.e., "w = 3". A further explanation is provided below.
Step-by-step explanation:
The given equation is:
⇒ 
By opening the brackets, we get
⇒ 
⇒ 
On adding "83" both sides, we get
⇒ 
⇒ 
⇒ 
⇒ 
This probability is the same as 1-(two different suited cards). Your first card can be any of the 52 cards. Your second card must be any of the 39 different suited remaining 51 cards. So the answer is 1 - (52/52)(39-51). Note: I assumed there was no replacement.