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mrs_skeptik [129]
2 years ago
8

A fish swims 6 feet directly above a scuba diver. The fish suddenly dives to double its depth under the surface of the ocean. Th

e fish dives to a depth of −42 feet. What is the position of the scuba diver relative to the surface of the ocean? Choose from the drop-down menu to correctly complete the statement.
Mathematics
2 answers:
enot [183]2 years ago
4 0

Answer:

The scuba diver is 27 feet below sea level.

-

Hope this will assist you.

IRISSAK [1]2 years ago
3 0

The position of the scuba diver relative to the surface of the ocean is 27 feet under the surface.

Since a fish swims 6 feet directly above a scuba diver, and the fish suddenly dives to double its depth under the surface of the ocean, and the fish dives to a depth of −42 feet, to determine what is the position of the scuba diver relative to the surface of the ocean, the following calculation must be performed:

  • 42/2 + 6 = X
  • 21 + 6 = X
  • 27 = X

Therefore, the position of the scuba diver relative to the surface of the ocean is 27 feet under the surface.

Learn more in brainly.com/question/14746652

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I need to know the solution to this
Alex73 [517]
There are two ways to do this but the way I prefer is to make one of the equations in terms of one variable and then 'plug this in' to the second equation. I will demonstrate

Look at equation 1, -2x+y=10 this can quite easily be manipulated to show y=10+2x.

Then because there is a y in the second equation (and both equations are simultaneous) we can 'plug in' our new equation where y is in the second one 4x-y=-14 \Rightarrow 4x-(10+2x)=-14 which can then be solved for x since there is only one variable 4x-10-2x=-14 \Rightarrow 2x=-4 \Rightarrow x=-2 and then with our x solution we can work out our y solution by using the equation we manipulated y=10+2x = 10+(2 \times -2) = 10-4=6.

So the solution to these equations is x=-2 when y=6
8 0
2 years ago
Erik's disabled sailboat is floating stationary 3 miles east and 2 miles north of Kingston. A ferry leaves Kingston heading towa
sergij07 [2.7K]

Answer:

Step-by-step explanation:

Let's suppose that Ballard is an origin with coordinates (0;0)

Ballard is 8 miles south and 1 mile west of Edmonds ⇒ Edmonds is 1 mile east and 8 miles north of Ballard.

Thus, coordinates of Edmonds (0+1; 0+8) (1;8)

Edmonds is 6 miles due east of Kingston. So, is 6 miles due of Edmonds

Thus, Kingston coordinates (1-6;8) (-5:8)

Sailboat is 3 miles east and 2 miles north of kingston

So, coordinates of sailboat are (-5+3; 8+2) (-2;10)

a)

Ferry leaves Kingston towards Edmonds at mph and Edmonds is 6 miles due east of Kingston.

Initial ferry coordinates as calculated above are equal to Kingston coordinates (-5;8)

After 20 minutes the ferry turns to south.

This distance travelled (20min) is d=9mph*20/60h=3 miles

So, ferry travelled 3 miles toward east in 20 min

Then, coordinates became (-5+3;8+0) (-2;8)

Thus, we have a line connecting two points (-5;8) and (-2;8)

Line connecting them has an equation:

y-8 = (8-8)/(-2+5) * (x+5)

y-8=0

y=8 - This is the equation for the first 20 minutes of travel

Then, ferry turns due south (-2;8) and has a vertiacl line

The equation of verical line is x=a, so the equation will be x=2

b) The sailboat has a radar scope that will detect any object within 3 miles of the sailboat.

region looks like a circular disc with a center (-2;10)

(x+2)^2+(y-10)^2=3^2

(x+2)^2+(y-10)^2 <9 (interior of the circular disc)

(x+2)^2+(y-10)^2 >9 (exterior)

The equation of the line joining the Kingston and Edmonds is y=8

the point of intersection:

(x+2)^2+(8-10)^2=9

(x+2)^2=5

x is approximately 0.24; -4.24

(0.24;8) (-4.24;8) - intersection points

c) The ferry exits the radar during the trid due south long x=-2

The points of intersection of the circle and the line x=-2:

(-2+2)^2+(y-10)^2=9

0+(y-10)^2=0

y is 7.13

(-2;7)

d) Takes south turn at (-2;8), then ferry travels 0.8 miles up to point (-2;7) where it exists the radar zone

Speed is 9mph

The time taken to cover 1 mile = t=1/9hr=1/9 *60=6.667min

So, it exists after 6.67 minutes

e) Ferry enters at (-4.24;8) and takes turn due to south at (-2;8)

The distance travelled is = [-4.24+2]=2.24 miles

The time taken to cover these miles is = t=2.24/9 *60=14.93 min

After turning to south ferry remains in radar for 6.7 min

So, it remains in radar zone for 14.93+6.7=21.63min

8 0
2 years ago
In the diagram, WZ=StartRoot 26 EndRoot.
gogolik [260]

Answer:

P = 8 + 2\sqrt{26}

Step-by-step explanation:

Given

W = (-2, 4)

X = (2, 4)

Y = (1, -1)

Z = (-3,-1)

Required

The perimeter

First, calculate the distance between each point using:

d = \sqrt{(x_1 - x_2)^2 + (y_1 -y_2)^2

So, we have:

WX = \sqrt{(-2- 2)^2 + (4-4)^2 } =4

XY = \sqrt{(2- 1)^2 + (4--1)^2 } =\sqrt{26}

YZ = \sqrt{(1- -3)^2 + (-1--1)^2 } =4

ZW = \sqrt{(-3--2)^2 + (-1-4)^2 } =\sqrt{26}

So, the perimeter (P) is:

P = 4 + \sqrt{26} + 4 + \sqrt{26}

P = 8 + 2\sqrt{26}

8 0
2 years ago
Using a rounded version of a conversion ratio allows for a quick estimate of a unit conversion
dolphi86 [110]

The conversion ratio that can be illustrated will be converting 2030m to kilometers.

<h3>How to illustrate the conversion?</h3>

The unit conversion that can be illustrated based on the information can be convert 2030m to kilometers.

It should be noted that 1000 meters makes 1 kilometer. Therefore, rounding up 2030m mentally will be 2000m and the conversion to kilometers will be:

= 2000/1000

= 2 km

Learn more about ratio on:

brainly.com/question/2328454

#SPJ1

6 0
1 year ago
Rule set for 18250 , 18500 , 19000 , 20000
Rus_ich [418]
I thought doubling everytime except for the number 19000 because if you do 250 × 2 = 500 so then you do 500×2=1000.
3 0
3 years ago
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