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Scilla [17]
3 years ago
6

Find the exact value of tan (arcsin (2/5)).

Mathematics
1 answer:
Leya [2.2K]3 years ago
7 0
Tan ( arcsin (2/5) ) = tan ( arc sin (0.4) ) =
= tan ( 23.57817) = 0.43643578
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(4m-1)(m+2) Find Products<br> (With Work Please!)
katrin2010 [14]

Answer:

3m times 2m = 1m

Step-by-step explanation:

because 4m- 1 =3m and m+2 =2m

5 0
2 years ago
a small table is 2 feet by 3 feet a large table is twice as long and rwice as wide as the small table. Whats the area of the lar
Scorpion4ik [409]

Answer:

The area of larger table is 24 square feet.

Step-by-step explanation:

Given are the length and width of small table

l_s = 2\ ft\\w_s = 3\ ft

The area of a rectangular table is calculated by multiplying the length and width. It is also given that the length and width of the larger table is double the length and width of small table

So the length and width of larger table will be:

l_l = 2*2 = 4\ feet\\w_l = 3*2 = 6\ feet

The area of larger table will be:

A_l = l_l*w_l\\= 4 * 6\\=24\ ft^2

Hence,

The area of larger table is 24 square feet.

7 0
3 years ago
The fastest a human has ever run is 27 miles per hour. How many miles per minute did the human run
Kay [80]

(27 mi/hr) x (1 hr / 60 min)  =  (27/60) (mi/min)  =  0.45 mile/minute

Using the same kind of calculation, we can see
that the world record times for other distances
correspond to:

200 meters                  23.31 mph
400 meters                   20.72 mph
800 meters                   17.73 mph
1000 meters                 16.95 mph
1500 meters                 16.29 mph
1 mile (1,609 meters)    16.13 mph
2,000 meters                 15.71 mph
10,000 meters               14.18 mph
30,000 meters               12.89 mph
Marathon  (42,195 meters)    13.10 mph

Except for that one figure at the end, for the marathon,
which I can't explain yet and I'll need to investigate further,
it's pretty obvious that a human being, whether running for
his life or for a gold medal, can't keep up the pace indefinitely.

8 0
3 years ago
Read 2 more answers
Find the number of meters each record holder ran in one second of each event. Round to the nearest tenth.
eimsori [14]
<span>To find the answers to each you have to divide the total distance by the total time to get the answer in meters/sec, which would be distance run per sec.
A. 200m/19.30sec = 10.36 meters per second
B. 400m/43.18sec = 9.26 meters per second
C. 100m/9.69sec = 10.32 meters per second</span>
3 0
3 years ago
The radius, r, of a sphere is increasing at 0.03 meters per second. The rate of increase is constant.
Vladimir79 [104]
A)
Given: dr/dt = .03 m/s and r = 18 m
Volume of a sphere = (4/3)*PI*r^3
Take the derivative of both sides, so
dv/dt = 4*PI*r^2*dr/dt
Plug in the givens and you have the rate of increase of the volume
B)
Given: V = 288 m^3 and I'm going to assume that r and dr/dt are the same as in part A
Surface Area = 4*PI*r^2
Take the derivative on both sides, so
dA/dt = 8*PI*r*dr/dt
Again, plug in the givens and you'll have the rate of increase in the surface area
C)
This part, it's been awhile since I've done related rates, so it may take me awhile, but perhaps the next person can answer it before I finish.

3 0
3 years ago
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