She worked as a carpenter for 12 hours and as a blacksmith for 18 hours.
Assuming you mean she earned $20 as a carpenter and $25 as a blacksmith per hour, with a total of 30 hours for $690,
let c represent carpenter hours and b for blacksmith hours.
20c + 25b = 690
c + b = 30
Subtract b from each side so that c = 30 - b
Plug this value into the first equation
20(30 - b) + 25b = 690
600 - 20b + 25b = 690
600 + 5b = 690
5b = 90
b = 18
To find c, plug this value of b into the other equation
c + 18 = 30
c = 12
You do the reverse and divide the 2 values to find out the last one
72/9 = 8
Do you get it?
Answer:
Step-by-step explanation:
Assuming this is in degrees, it is actually 0.
Answer:
Option 3 - 
Step-by-step explanation:
Given : Perpendicular to the line 
; containing the point (4,4).
To Find : An equation for the line with the given properties ?
Solution :
We know that,
When two lines are perpendicular then slope of one equation is negative reciprocal of another equation.
Slope of the equation
Converting into slope form 
,
Where m is the slope.
The slope of the equation is 
The slope of the perpendicular equation is 
The required slope is 
The required equation is 
Substitute point (x,y)=(4,4)
Substitute back in equation,
Therefore, The required equation for the line is
So, Option 3 is correct.
Answer:
10.3 units
Step-by-step explanation:
Recall: SOHCAHTOA
Reference angle = 69°
Side length Opposite to reference angle = x
Hypotenuse length = 11
Thus, apply the trigonometric ratio, SOH:
Sin 69 = Opp/Hyp
Substitute
Sin 69 = x/11
11 × Sin 69 = x
10.2693847 = x
x = 10.3 units (nearest tenth)
