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professor190 [17]
3 years ago
6

An air traffic controller is tracking two planes. To start, Plane A is at an altitude of 4385 feet and Plane B is at an altitude

of 5000 feet. Plane A is gaining altitude at 55.5 feet per second and Plane B is gaining altitude at 45.25 feet per second.
How many seconds will pass before the planes are at the same altitude?
seconds
What will their altitude be when they're at the same altitude?
feet
Mathematics
1 answer:
Fantom [35]3 years ago
4 0

Answer:

60 seconds, 7715 feet

Step-by-step explanation:

Plane A and B start out 615 feet apart, and we find this by subtracting the height of plane A from plane B, getting 5000-4385=615. Now we have to find how many more feet of altitude plane A is gaining per second over plane B.

To find this we subtract 45.25 from 55.5 and get 10.25 feet per second. Now to find out how many seconds until they'll be at the same altitude we simply divide 615 by 10.25, getting 60 seconds.

For the second part, to find the altitude at this point, we simply multiply the altitude gain of one of the planes per second by the time of 60 seconds to get how much altitude they gained over that time, and add it to the starting altitude. Doing this with plane B we get 45.25*60=2715, and we add that to 5000 to get the final answer of 7715.

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Blababa [14]

Answer:

Radius = 9

Step-by-step explanation:

Circumference = 2πr

2πr = 18 ×3.14

2πr = 56.5

6.28r = 56.5

r = 56.5/6.28

r = 9.04 round off , 9

3 0
3 years ago
What is the value of g(0)<br> a. 1<br> b. 0<br> c. 8<br> d. 4
uysha [10]

Answer:

c. 8

Step-by-step explanation:

1)  g(x)=8(\frac{1}{2} )^{x}

2)  g(0)=8(\frac{1}{2} )^{0}

3)  g(0)=8*1

4)  g(0)=8

4 0
3 years ago
70% of kids who visit a doctor have a fever, and 40% of kids who visit a doctor have a sore throat. If the probability that a ki
krek1111 [17]

Answer:

52.5%

Step-by-step explanation:

Let A be kids who have a fever, and B be kids who have a sore throat, so

Based on the given information we have

P(A) = 70%, P(B) = 40%, and P(B|A) = 30%   (B|A is read as "B given A", which means probability of B happening given that A has already happened)

We are asked to find P(A|B), the probability of a kid having a fever given that we already know he has a sore throat.

Step 1:  First find P(A and B), this is the probability of a kid having both a fever and a sore throat.  We use the formula

        P(B|A) = P(A and B)/P(A)    

We have 2 of these values listed above, so we plug them in...

       30% = P(A and B)/70%

 This give us a value for P(A and B) which equals 21%  [multiply both sides by 70% to isolate P(A and B), (30%)(70%) = 21%]

Now we flip the equation to P(A|B), which is

     P(A|B) = P(A and B)/P(B)

We have 2 of the values, so we plug them in...

     P(A|B) =  21%/40%

  This gives us a value of 52.5%   (divide 21% by 40%)  

6 0
3 years ago
An Olympic-sized swimming pool holds 2,500,000 liters of water. How many gallons of water does an Olympic-sized swimming pool ho
tankabanditka [31]

Answer:

The Olympic sized swimming pool hold 660501.9 gallons of water.

Step-by-step explanation:

Given that:

Water hold by an Olympic sized swimming pool = 2500000 liters

We know that;

1 gallon = 3.785 liters

Therefore,

We will divide the total number of water in liters by 3.785 to find the number of gallons.

Gallons of water in pool = \frac{2500000}{3.785}

Gallons of water in pool = 660501.9 gallons

Hence,

The Olympic sized swimming pool hold 660501.9 gallons of water.

5 0
3 years ago
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andrew-mc [135]

Answer:

Part 1) The volume of the storage body is 576 cubic feet

Part 2) To find out how many boxes can she fit in the storage body, divide the volume of the storage body by the volume of each box

Part 3) Sheila can fit 64 boxes into the truck

Step-by-step explanation:

step 1

Find the volume of the storage body

we know that

The volume of the of the storage body is equal to the volume of two rectangular prism

The volume of a rectangular prism is equal to

V=LWH

First rectangular prism (top)

V=(15)(6)(8-6)=180\ ft^3

Second rectangular prism (bottom)

V=(15-4)(6)(6)=396\ ft^3

The volume of the storage body is

V=180+396=576\ ft^3

step 2

we know that

To find out how many boxes can she fit in the storage body, divide the volume of the storage body by the volume of each box

step 3

substitute the given values

\frac{576}{9}= 64\ boxes

therefore

Sheila can fit 64 boxes into the truck

7 0
3 years ago
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