1. Potential Energy = mgh
h = U_g / (mg) = 14 / (17 * 9.81) = <u>0.084 m above the ground.</u>
2. Kinetic Energy = 1/2 mv^2
m = 2K_e / (v^2) = <u>2.45 kg</u>
3. U_g = mgh = (1200)(9.81)(24) = <u>282528 J</u>
4. U_g = mgh = (478)(9.81)(150) = <u>703377 J</u>
5. U_g = mgh = (100)(9.81)(12.5) = <u>12262.5 J</u>
6. h = U_g / (mg) = 14 / (17 * 9.81) = <u>0.084 m above the ground.</u>
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7. m = U_g / (gh) = 1500 / (9.81 * 35) = <u>4.37 kg</u>
Answer:
8.3 meters
Step-by-step explanation:
58.1 / 7 =8.3
Answer:
21 weeks
Step-by-step explanation:
In this question, we are to use proportionality to find the solution to the question.
We were made to know that the time taken to build the highway is varied directly with the length and inversely with the number of workers.
Let us make a mathematical representation for this.
Let the time be t, number of workers be w and length be l
t is directly proportional to l and inversely proportional to w
Mathematically;
t = kl/w
Where k is the constant of proportionality.
Let’s find the value of k
150 workers built 12 miles of highway in 14 weeks ; plug these in the equation to get k
14 = k * 12/150
k = 150 * 14/12 = 175
Now we want to get t given w and l
from ;
t = kl/w
We can get t; where l = 15 and w = 125
t = 175 * 15/125
t = 21 weeks
Answer:
P = (18a+10b+13) cm
Step-by-step explanation:
Given that,
A triangle has the lengths of (10a+9) cm, (8a—3) cm and (10b+7) cm.
We need to find an expression that represents the perimeter of the triangle.
Perimeter = sum of all sides
P = (10a+9) + (8a-3) + (10b+7)
Taking like terms together,
P = (10a+8a)+10b+(9-3+7)
= 18a+10b+13
Hence, the epresssion for the perimeter is (18a+10b+13) cm.
Answer:
6
Step-by-step explanation:
so if she has $65 and she spent 38.50 you find the difference which is $26.50 then you divide it by 4 which is 6.62 so yes your right its 6 if you round it
