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Dovator [93]
3 years ago
6

It would take an hour for plane A to meet plane B which is flying towards it. If the distance between them will be 200 miles aft

er 45 minutes, how far apart are they now?
Mathematics
2 answers:
sammy [17]3 years ago
3 0
Let a = speed of the plane A, and b = speed of plane B.
(Assume that the net effect of the wind is negligible.)
From the first sentence, the distance between A and B after each travels for 1 hour is a + b miles. From the second sentence, after 45 minutes, or 0.75 hour, the distance between A and B is 200 miles. Plane a has traveled 0.75a, while plane B has traveled 0.75b.
Hence a + b = 0.75a + 0.75b +200
==> 0.25(a + b) = 200.
==> a + b = 800.
Therefore planes A and B are 800 miles apart now.
Umnica [9.8K]3 years ago
3 0

Answer:

<u>800 miles apart</u>

Step-by-step explanation:

0.75a+0.75b=200

0.25(a+b)=200

a+b=800 miles apart

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Line l is the perpendicular bisector of AB. What is the perimeter of ABC
saveliy_v [14]

Answer:

Perimeter = 60

Step-by-step explanation:

because l bisects AB:

3y+1 = 5y-5

reduce:

2y = 6

y = 3

and:

2x+4 = 4x-12

reduce:

2x = 16

x = 8

AB = (3y+1) + (5y-5)

AB = 8y-4

substitute for y

AB = 8(3)-4

AB = 20

Perimeter = (2x+4) + (4x-12) + 20

reduce:

perimeter = 6x+12

substitute for x:

Perimeter =6(8)+12

reduce:

Perimeter = 60

3 0
2 years ago
A venue plans to host trucking events regularly throughout the year. The expected revenue from each event is $100,000. The cost
NikAS [45]

Answer:

47 meetings

Step-by-step explanation:

1. You know the company generates 100,000 dollars in profits, and pays 50,000 dollars to host the event, therefore, subtract both numbers to determine how much profit they make.

100,000 - 50,000 = 50,000 dollars

2. You now know that company generates 50,000 dollars in profits for each meeting

3. You also know that the company is aiming for a profit of 2.35 million, so you would divide the the goal by the total profits per meeting

2,350,000/50,000 = 47

It takes 47 meetings for the company to reach their goal.

4 0
3 years ago
A 14 foot ladder is placed against a wall. It is placed 5 feet from the base of the wall.
Vladimir [108]

Answer:

c = 18.47

Step-by-step explanation:

This would create a triangle in which the length of the wall would be the missing side. We can use the Pythagorean Theorem to find this:

1. a^{2} + b^{2} = c^{2}

2. 5^{2} + 14^{2} = c^{2}

3. 25 + 196 = c^{2}

4. 221 = c^{2}

5. \sqrt{221} = c

6. 18.47 = c

4 0
3 years ago
A bag contains 32 red​ blocks, 47 green​ blocks, 21 yellow​ blocks, and 25 purple blocks. You pick one block from the bag at ran
Studentka2010 [4]

Answer:

P(green or purple​) = 0.576

Step-by-step explanation:

A probability is the number of desired outcomes divided by the number of total outcomes.

In this problem, we have that:

32 + 47 + 21 + 25 = 125 blocks.

Of those, 47 + 25 = 72 are green of purple

​P(green or purple​) = 72/125 = 0.576

8 0
4 years ago
Just make sure to help me out when I need it. Thx!
Mnenie [13.5K]

Answer:

okay i will

Step-by-step explanation:

5 0
3 years ago
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