1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
butalik [34]
3 years ago
9

Plane A leaves Tulsa at 2:00 p.m., averaging 300 mph and flying in a northerly direction. Plane B leaves Tulsa at 2:30 p.m., ave

raging 225 mph and flying due east. At 5:00 p.m., how far apart will the planes be?

Mathematics
2 answers:
kherson [118]3 years ago
6 0

Answer:

At 5:00 p.m. the planes will be 1061.323 miles apart.

Step-by-step explanation:

To solve this problem, I add a picture of the situation.

We know that speed is distance over time  ⇒

Speed=\frac{distance}{time} (I)

The first step to solve this exercise is to graph the situation. We can draw a right triangle which vertices will be ''Tulsa'', and the planes ''A'' and ''B'' at 5:00 p.m.

In order to know the measures of the sides, we are going to calculate them using the equation (I)

Plane A leaves Tulsa at 2:00 p.m.

Therefore, at 5:00 p.m. it will have flown 3 hours ⇒

300\frac{mi}{h}=\frac{distance}{3h} ⇒

distance=(300\frac{mi}{h}).(3h)

distance=900mi

At 5:00 p.m. the distance from the plane A to Tulsa is 900 mi

Plane B leaves Tulsa at 2:30 p.m.

Therefore, at 5:00 p.m. it will have flown 2.5 hours ⇒

225\frac{mi}{h}=\frac{distance}{2.5h}

distance=(225\frac{mi}{h}).(2.5h)

distance=562.5mi

At 5:00 p.m. the distance from the plane B to Tulsa is 562.5 mi

Finally, we can find the distance between the plane A and the plane B using the Pythagorean theorem :

(900mi)^{2}+(562.5mi)^{2}=(Distance_{A-B})^{2}

810000mi^{2}+316406.25mi^{2}=(Distance_{A-B})^{2}

(Distance_{A-B})^{2}=1126406.25mi^{2}

Distance_{A-B}=\sqrt{1126406.25mi^{2}}

Distance_{A-B}=1061.322877mi ≅ 1061.323mi

At 5:00 p.m. the planes will be 1061.323 miles apart.

Musya8 [376]3 years ago
4 0

Answer 1061

Step-by-step explanation:

You might be interested in
Mr. van der westhuizen wants to visit his grandchildren In France. he has heard that it is very expensive for South Africans to
Tomtit [17]

Answer:

u got it right

Step-by-step explanation:

3 0
3 years ago
Please help will give brainliest
Eddi Din [679]

Answer:

-6

Step-by-step explanation:

The equation is in slope intercept form

y = mx+b where m is the slope and b is the y intercept

The y intercept is the value when x = 0

The y value is -6 when the x value is 0

y = -4x+ (-6)

3 0
2 years ago
15. Choose the graph of 3x + y = -2.<br> A.<br> 41<br> -6<br> -4<br> -2
lana [24]

Answer:-6

Step-by-step explanation:

4 0
3 years ago
Write an equation in slope-intercept form for the line with slope -6 and y-intercept 5​
algol [13]

Answer:

y=-6+5

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
72 ounces in 6 steaks
svet-max [94.6K]
12 ounces for each steak ..............
6 0
3 years ago
Read 2 more answers
Other questions:
  • Please hurry simplify the problem a i b 5i c -i
    7·1 answer
  • (-0.3) + 0.9 find the sum
    6·2 answers
  • Use this tax table to find how much tax you need to pay on a taxable income of $25,000.
    7·1 answer
  • What is the square root of 586
    15·1 answer
  • please ingore wirthing im struggleing and thats all that is but i need help i didnt catch range and i cant figure it out
    8·1 answer
  • I don't get prime and composite please send me an example
    7·2 answers
  • Write an expression so that the product of a whole number and a decimal is 0.32.
    9·1 answer
  • Use the distributive property to expand the following expression (9m-6)7
    11·1 answer
  • 4 Move the digits in 625,134 to create a new number.Move the 2 so it is worth 1_10as much.Move the 3 so it is worth 10 times as
    8·1 answer
  • What does solution of a system of linear equation mean??<br> PLEASE GET THIS RIGHT!!!!!
    6·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!