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zalisa [80]
3 years ago
15

- What is the range of the following set of points: {(3, 4), (7, - 2), (11, – 8)}?

Mathematics
1 answer:
konstantin123 [22]3 years ago
3 0

Answer:

B) {-8,-2,3,4,7,11}

Step-by-step explanation:

range is y

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A tree struck by lightning in a storm breaks and falls over to form a triangle with the ground. The tip of the tree makes a 36°
liraira [26]

Answer: approximately 49 feets

Step-by-step explanation:

The diagram of the tree is shown in the attached photo. The tree fell with its tip forming an angle of 36 degrees with the ground. It forms a right angle triangle,ABC. Angle C is gotten by subtracting the sum of angle A and angle B from 180(sum of angles in a triangle is 180 degrees).

To determine the height of the tree, we will apply trigonometric ratio

Tan # = opposite/ adjacent

Where # = 36 degrees

Opposite = x feets

Adjacent = 25 feets

Tan 36 = x/25

x = 25tan36

x = 25 × 0.7265

x = 18.1625

Height of the tree from the ground to the point where it broke = x = 18.1625 meters.

The entire height of the tree would be the the length of the fallen side of the tree, y + 18.1625m

To get y, we will use Pythagoras theorem

y^2 = 25^2 + 18.1625^2

y^2 = 625 + 329.88

y^2 = 954.88

y = √954.88 = 30.9 meters

Height of the tree before falling was

18.1625+30.9 = 49.0625

The height of the tree was approximately 49 feets

5 0
3 years ago
What is the middle of 1 and 6
devlian [24]

Answer:

The middle between two numbers is the average of those numbers. So we add those two numbers together and divide by two. And the answer is (1 + 6) / 2 = 3.5

5 0
2 years ago
Read 2 more answers
Solve for c.<br><br> a(c−b)=d
tatiyna

Answer:

c= ab + d/ a

Step-by-step explanation:

Let's solve for c.

a(c-b)=d

Step 1: Add ab to both sides.

-ab + ac + ab = d+ ab

ac = ab + d

Step 2: Divide both sides by a.

ac / a = ab + d / a

c = ab + d/ a

Answer:

c= ab + d/ a

Hope this helps ☝️☝☝

3 0
3 years ago
A boat can travel 112 miles on 14 gallons of gasoline. How much gasoline will it need to go 96 miles?
Oksi-84 [34.3K]

12. Divide 112 by 14 which comes to 8. Then take 96 and divide 96 by 8. Then you get 12

5 0
3 years ago
Read 2 more answers
A raft and a motorboat simultaneously leave from the same point and move down the river. After 2 hours the motorboat turns aroun
lesya692 [45]

Answer:

2 hours

Step-by-step explanation:

Let x mph be the speed of motorboat in still water and y mph be the speed of current.

A raft and a motorboat simultaneously leave from the same point and move down the river, then speeds down the river are:

        motorboat =  x + y mph

        raft = y mph

In two hours they will cover:

        motorboat = 2(x+y) miles

        raft = 2y miles

After 2 hours the motorboat turns around and starts moving towards the raft (against the current), so its speed is now x - y mph.

Let t be the time they move towards each other. In t hours, they cover

        motorboat = t(x - y) miles

        raft = ty miles

The distance from the starting point to the turning point is the same as the sum of the distances the raft covers and the motorboat covers after turning around, so

2(x+y)=2y+t(x-y)+ty \\ \\2x+2y=2y+tx-ty+ty\\ \\2x=tx\\ \\t=2\ hours

6 0
3 years ago
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