Answer:
d = 80 ft
Step-by-step explanation:
Start with angle BCA, tan(BCA) = 30/15 so BCA = 63.43 degrees.
BCA = ECD since they are opposite angles.
tan ECD = d/40
40 tan(63.4degrees) = d
d = 80 ft
Alternatively, you can use similar triangles since the angles are the same, BCA = ECD, CED = CAB, and CBA = EDC. In that case use proportions to get 30/15 = d/40 so 2 = d/40 and d = 80.
Solve for q:
2 p - 1/q = r/q + 4
Bring 2 p - 1/q together using the common denominator q. Bring r/q + 4 together using the common denominator q:
(2 p q - 1)/q = (4 q + r)/q
Multiply both sides by q:
2 p q - 1 = 4 q + r
Subtract 4 q - 1 from both sides:
q (2 p - 4) = r + 1
Divide both sides by 2 p - 4:
Answer: q = (r + 1)/(2 p - 4)
N⁶ · n⁵ · n⁴ ÷ n³ · n² ÷ n
n¹¹ · n⁴ ÷ n³ · n² ÷ n
n¹⁵ ÷ n³ · n² ÷ n
n⁵ · n² ÷ n
n¹⁰ ÷ n
n⁹
Answer:
The equation of the line:
Step-by-step explanation:
Given
We know that a line perpendicular to another line contains a slope that is the negative reciprocal of the slope of the other line, such as:
slope = m = -2/3
perpendicular to m = -1/m
Using the point-slope form of the line equation
substituting the values m = 3/2 and the point (-4, 3)
Add 3 to both sides
Thus, the equation of the line:
Answer:
1110000
Step-by-step explanation:
1. We assume, that the number 3700000 is 100% - because it's the output value of the task.
2. We assume, that x is the value we are looking for.
3. If 3700000 is 100%, so we can write it down as 3700000=100%.
4. We know, that x is 30% of the output value, so we can write it down as x=30%.
5. Now we have two simple equations:
1) 3700000=100%
2) x=30%
where left sides of both of them have the same units, and both right sides have the same units, so we can do something like that:
3700000/x=100%/30%
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.
7. Solution for what is 30% of 3700000
3700000/x=100/30
(3700000/x)*x=(100/30)*x - we multiply both sides of the equation by x
3700000=3.33333333333*x - we divide both sides of the equation by (3.33333333333) to get x
3700000/3.33333333333=x
1110000=x
x=1110000
now we have:
30% of 3700000=1110000
