The image of this question is missing and so i have attached it.
Answer:
dd/dt = 4.47 ft/s
Step-by-step explanation:
From the image attached, let's denote the following;
d = horizontal distance beneath pulley
h = height of pulley
l = diagonal from the pulley to the head of the person
v = velocity of rope rising
Using pythagoras theorem;
l² = d² + h²
Differentiating with respect to time and considering h = c^(te) gives;
2l(dl/dt) = 2d(dd/dt)
We are given;
d = 20 ft
h = 10 ft
v = 4 ft/s
We know that velocity in this case is change in diagonal distance with time. Thus;
v = dl/dt = 4 ft/s
From earlier, we saw that;
2l(dl/dt) = 2d(dd/dt)
Thus, reducing it gives
(dl/dt)(l/d) = dd/dt
Now, l² = d² + h²
l = √(d² + h²)
Also, v = dl/dt = 4
Thus;
4(√(d² + h²))/d = dd/dt
4(√(20² + 10²))/20 = dd/dt
dd/dt = 4.47 ft/s
Answer:
1/15625 I am pretty sure it is right but please double check.
Step-by-step explanation:
5^2=25
5^8=390625
Know this? Add apples to apples and oranges to oranges.
This problem becomes much easier if the fractions are converted to decimal fractions for comparison purposes:
<span>2⁄3 , 7⁄6 , 1⁄8 , 9⁄10
are approx equal to 0.67, 1.17, 0.125, 0.90
So, rearranging these numbers in increasing order, we get
0.125, 0.67, 0.90, 1.17.
We could go back to the originals: 1/8, 2/3, 9/10, 7/6.</span>
Answer:
29.24 grams
Step-by-step explanation:
It is given that,
Rachel's chocolate bar is 43% cocoa
The weight of the chocolate bar is 68 grams
We need to find how many grams of cocoa does it contain. It means it will contain 43% of 68 grams. It can be solved as follows :

Hence, it will have 29.24 grams of cocoa.
First off, Parallel lines are two lines that lie within the same plane and never intersect, So the undefined terms that are needed to define a parallel line are Lines, planes.