We make a drawing to find the relationship between the angle and the sides
given
dh/dt=4m/sec
we get
tan(x)=h/40
where x is the angle and h is the height
take the derivitive of both sides
1/cos²(x)(x)dx/dt=
1/cos²(x)dx/dt=
1/cos²(x)dx/dt=
solve for dx/dt
times both sides by cos²(x)
dx/dt=
remember that dh/dt=4
also, solve for the angle at that time
h=40 and base=40 so x=45 degrees (pi/4 radians)
input that
dx/dt=
dx/dt=
dx/dt=0.05
A is the answer
Answer:
(600 mi) × (5280 ft/mi) × (12 in/ft)
Step-by-step explanation:
A "unit multiplier" is a multiplier that has a value of 1. That is, the numerator and denominator have the same value. For units conversion problems, the numerator quantity has the units you want, and the denominator quantity has the units you're trying to cancel.
You have units of miles. You know that ...
1 mile = 5280 feet
1 foot = 12 inches
You want to get to units of inches. With these conversion factors, you can do it in two steps (as the problem requests). The first conversion is from miles to feet using the unit multiplier (5280 feet)/(1 mile). This gives you a number of feet.
Then the second conversion is from feet to inches, so you use the one that lets you put inches in the numerator and feet in the denominator:
(12 inches)/(1 foot)
When you multiplie these all out, units of miles and feet cancel, and you're left with inches.
_____
With the above conversion factors, you can write unit mulipliers of either ...
(5280 ft)/(1 mi) . . . to convert to feet
or
(1 mi)/(5280 ft) . . . to convert to miles.
Answer:
False
Step-by-step explanation:
<em>Is the following statement true or false? </em>
<u>The intersection of a plane and a ray can be a line segment.</u>
- It is false. Correct one is the point.
-1
29
-46
-46
27
-28
13
-1
-16
38
15
86
-63
-20
-17
-60
87
-36
-16
-42
18
-9
-63
-49
22
-15
-20
-74
27
53
Goes by row, up to down
<span>Option D. Total number of traffic accidents per year, by means of a bar chart that shows the difference of given values and that are represented by size, length and color. This to know the number of accidents that occur as first information. Also the option C. The decrease number of traffic accidents per year, the same with a bar chart that represents the data and its different results thrown. This is to determine the decrease, after knowing the annual number of accidents. This also helps to know the number of current accidents, increase, decrease and the main causes of accidents in large cities.</span>