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Vladimir79 [104]
3 years ago
13

Is the square root of 10 rational

Mathematics
1 answer:
den301095 [7]3 years ago
7 0
Yes it is rational because u can't times something to equal 10
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A crawling tractor sprinkler is located as pictured below, 100 feet South of a sidewalk. Once the water is turned on, the sprink
deff fn [24]

Answer:

  a) see below

  b) 32 minutes after turn-on

  c) 52 minutes after turn-on

  d) 20 minutes

  e) 6856.6 ft²

Step-by-step explanation:

a) We have elected to put the origin at the point where the hose crosses the south edge of the sidewalk. Units are feet. Then the sprinkler starts at (0, -100). After 1 hour, 3600 seconds, the sprinkler is 1800 inches, or 150 ft north of where it started, so stops at (0, 50).

The lines forming the sidewalk boundaries are y=0 and y=10.

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b) Water will first strike the sidewalk when the sprinkler is 20 feet south of it, or 80 feet north of where it started. The sprinkler travels that distance in ...

  (80 ft)(12 in/ft)/(1/2 in/s)(1 min/(60 s)) = 32 min . . . time to start sprinkling sidewalk

__

c) The sprinkler has to travel to a point 130 ft north of its starting position for the water to fall north of the sidewalk. That distance is traveled in ...

  (130 ft)(2/5 min/ft) = 52 min . . . time until end of sprinkling sidewalk

Note that we have combined the scale factors in the expression of part b into one scale factor of (2/5 min/ft).

__

d) The difference of times in parts b and c is the time water falls on the sidewalk: 20 minutes.

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e) In one hour, the sprinkler travels a distance of ...

  (60 min)(5/2 ft/min) = 150 ft

Of that distance, 10 feet is sidewalk. So, the sprinkler covers an area of grass that is a 140 ft by 40 ft rectangle and a circle of 20 ft radius. The total area of that is ...

  A = LW + πr² = (140 ft)(40 ft) +π(20 ft)² = (14+π)(400) ft² ≈ 6856.6 ft²

The area of grass watered in 1 hour is about 6856.6 ft².

5 0
3 years ago
Calculate the length of the unknown edges 6•6•H=288
Fynjy0 [20]
H =8
6 times 6 is 36 and times 8 is 288.
7 0
3 years ago
MAKING TRIANGLE WITH AB=6CM m angle A =90degrees, m angle B45degrees , what is AC
Artyom0805 [142]
It will be 160 degrees by doing multiple
3 0
3 years ago
If £25 = 650 rubles, how many £ are in 780 rubles?
masya89 [10]

Answer:

30

Step-by-step explanation:

25£ : 650 rubles

x£ : 780 rubles

25/x = 650/780

(cross multiply)

650x = 25×750

650x = 18 750

divide 18 750 by 650

which is = 30

thus x = 30

3 0
3 years ago
Question 8
daser333 [38]

9514 1404 393

Answer:

  42.9 ft

Step-by-step explanation:

The relevant trig relation is ...

  Tan = Opposite/Adjacent

where Opposite in this case is the height of the tree, and Adjacent is the distance to the tree.

  tan(47°) = height/(40 ft)

  height = (40 ft)·tan(47°) . . . . . multiply both sides by (40 ft)

  height ≈ 42.9 ft

The tree is about 42.9 feet tall.

7 0
3 years ago
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