Answer: 4 1/3 or 13/3
Step-by-step explanation:
Answer:
a =
and b =
Step-by-step explanation:
As we know, the radius of the unit circle is 1 unit (it is the hypotenuse in the right triangle, the blue line)
We use trigonometric formulas to find out a and b
- Sin(45) = opposite side / hypotenuse
<=> Sin(45) = b / 1
<=> b= Sin(45)*1 =
- Cos(45) = adjacent side / hypotenuse
<=> Cos(45) = a / 1
<=> a = Cos(45)*1 = 
So: a =
and b =
Marcario should use 4 pounds of macadamia nuts and 8 pounds of almonds.
Explanation
given
cost of macadamia nuts per pound=$9
cost of almond nuts per pound=$5.25
cost of the mixture per pound=$6.5
total pounds of the mixture to be made=12
let the pounds of macadamia nuts=x
pounds of almond nuts=y
total pounds of nuts=x+y=12

solving (1) and (2)
x=4
y=8
6+8+5=19
Probability= 8/19=0.42= 42% of picking green.
Answer:
b) y - 8 is one of the factor of the given expression
Step-by-step explanation:
<u><em>Explanation</em></u>:-
Given expression y² - 16 y + 64
⇒ y² - 8 y - 8 y + 64
⇒ y ( y- 8) - 8 ( y - 8)
⇒ (y-8)(y-8)
Therefore (y -8) is one of the factor