5345.40 is what percent of 45300
5345.40=45300x
0.118=x --divide both sides by 45300
andrews net federal income tax rate is C) 11.8%
<span>(x – 8)² + (y – 9)² = 3
(x – 8)² + (y – 9)² = 14
</span>are the correct answers
Answer:
765 J
Step-by-step explanation:
We are given;
Mass of bucket = 30 kg
Mass of rope = 0.3 kg/m
height of building= 30 meter
Now,
work done lifting the bucket (sand and rope) to the building = work done in lifting the rope + work done in lifting the sand
Or W = W1 + W2
Work done in lifting the rope is given as,
W1 = Force x displacement
W1 = (30,0)∫(0.2x .dx)
Integrating, we have;
W1 = [0.2x²/2] at boundary of 30 and 0
W1 = 0.1(30²)
W1 = 90 J
work done in lifting the sand is given as;
W2 = (30,0)∫(F .dx)
F = mx + c
Where, c = 30 - 15 = 15
m = (30 - 15)/(30 - 0)
m = 15/30 = 0.5
So,
F = 0.5x + 15
Thus,
W2 = (30,0)∫(0.5x + 15 .dx)
Integrating, we have;
W2 = (0.5x²/2) + 15x at boundary of 30 and 0
So,
W2 = (0.5 × 30²)/2) + 15(30)
W2 = 225 + 450
W2 = 675 J
Therefore,
work done lifting the bucket (sand and rope) to the top of the building,
W = 90 + 675
W = 765 J
Answer:
<u>CF = 7</u>
Step-by-step explanation:
Given: Δ ABC
Altitudes ⇒ AD = 12 , BE = 14 and CF = ?
The area of the triangle = 0.5 AD * BC ⇒ (1)
OR area = 0.5 BE * AC ⇒ (2)
OR area = 0.5 CF * AB ⇒ (3)
By equating (1) and (3)
∴ 0.5 CF * AB = 0.5 AD * BC
∴ 
⇒ (4)
By equating (1) and (2)
0.5 BE * AC = 0.5 AD * BC
∴ 
(5)
We should know that about the relation between the sides of the triangle:
The sum of two sides will be greater than the third side
So, AB < BC + AC ⇒ divide both sides by BC
∴ 
By substitution from (5) with AC/BC
∴ 
∴ 
∴ 
⇒ (6)
By substitution from (6) at (4)
∴ CF > 12 * 7/13
CF > 6.46
But CF is a positive integer
<u>∴ CF = 7</u>
