A military plane is flying directly toward an air traffic control tower, maintaining an altitude of 9 miles above the tower. The radar detects that the distance between the plane and the tower is 15 miles and that it is decreasing at a rate of 750mph. What is the ground speed of the plane

Answers

Answer 1

Answer:

-937.5 mph

Step-by-step explanation:

Assuming this takes place in a right angled triangle. With the hypotenuse side being, d, 15 miles, the opposite side being 9 miles and the adjacent being an unknown, x.

Using Pythagoras theorem, we know that

x² = 15² - 9²

x² = 225 - 81

x² = 144

x = √144

x = 12 miles.

Again, we should know that

2xx' = 2dd', this means that

xx' = dd'

From the question, we're told that it's decreasing at d' = 750 mph. On substituting, we have

x' = dd' / x

x' = (15 * -750) / 12

x' = -11250 / 12

x' = -937.5 mile per hour

The ground speed of the plane is also decreasing at 937.5 mile per hour


Related Questions

Find the value of each expression
-22-(-5)

Answers

Answer:

-17

Step-by-step explanation:

-22-(-5) = -22+5 = -17

Answer:

the answer is -17

Step-by-step explanation:

-22-(5)-22+5=-17

solve the question below

Answers

Answer:

The answer is below

Step-by-step explanation:

1) A triangle is a polygon with three sides and three angles. There are different types of triangles such as obtuse, scalene, right angle, equilateral and isosceles triangle.

Given that triangle ABC is right angled and AC = 25 cm = hypotenuse and BC = 15 cm. Using Pythagoras:

AC² = BC² + AB²

25² = AB² + 15²

AB² = 25² - 15²

AB² = 400

AB = √400

AB = 20 cm

Using sine rule:

[tex]\frac{sin(B)}{AC}=\frac{sin(A)}{BC}=\frac{sin(C)}{AB}\\\\But\ \angle B= 90^o(right\ angle)\ hence:\\\\ \frac{sin(B)}{AC}=\frac{sin(A)}{BC}\\\\\frac{sin(90)}{25}=\frac{sin(A)}{15}\\\\sin(A)=\frac{sin(90)}{25}*15\\\\sin(A)=0.6\\\\A=sin^{-1}(0.6)\\\\A=36.87^o[/tex]

2)

Using Pythagoras:

hypotenuse² = 8² + 6²

hypotenuse² = 100

hypotenuse = √100

hypotenuse = 10

Using sine rule:

[tex]\frac{sin(x)}{8}=\frac{sin(90)}{10}\\\\sin(x)=\frac{sin(90)}{10}*8\\\\sin(x)=0.8\\\\x=sin^{-1}(0.8)\\\\x=53.13 ^o[/tex]

there are 287 of toilet paper in walmart and there are 26 rolls in it math problem how many rolls of toilet paperis there




I REALLY NEED HELP LOL

Answers

Well if it’s 287 pkgs. of toilet paper and 26 rolls in each there would be 7,462 rolls

A 2-kilogram bag of birdseed costs $8.54. What is the unit price?

Answers

Answer:

$8.54÷2 kg = $4.27 for 1 kg of birdseed

Danny purchases a shirt for $30. The store charges him 8% sales tax on the purchase. How much sales tax will the store charge on the purchase?

Answers

Answer:

tax = $30.00 * 8% tax = $30.00 * 0.08 tax = $2.40

Step-by-step explanation:

18.96 x 2.03 correct to two significant figures equals​

Answers

Answer. 18.96 by 2.04 ur ans will become 0.10706751055.

k(4 - 17) in expanded form​

Answers

Answer:

I think Its k x (4 - 17)

You're Welcome =D

In the triangle below,
x= [ ? ]°. Round to the nearest
tenth.

Answers

Answer:

X = 38.7°

Step-by-step explanation:

Reference angle = x

Opposite side length = 8 cm

Adjacent side length = 10 cm

Applying trigonometric ratio formula, we have:

[tex] tan(x) = \frac{8}{10} [/tex]

[tex] x = tan^{-1}(\frac{8}{10}) [/tex]

[tex] x = 38.7 [/tex]

x = 38.7° (to the nearest tenth)

Find the slope (or grade) of the treadmill shown.

The grade of the treadmill is___%

Answers

Answer:

grade=15%

Step-by-step explanation:

For 2 ft on x-axis it has elevated 0.3 ft on y-axis

m=0.3/2=0.15 ft

grade=m x 100

grade=15%

A ball is thrown from an intial height of 5 feet with an intial upward velocity of 17 ft/s. The ball's height h in feet after t seconds is given by the following.

h=5+17t-16t^2

Find all values of t for which the ball's height is 9 feet.
Round your answer(s) to the nearest hundredth.

Answers

Answer:

-16t²+17t+7=11

==>16t²-17t+4=0

Δ=17²-4*4*16=33

==>t= (17-√33)/32=0.351732... (s)≈0.35 (s)

or t=(17+√33)/32=0.710767 (s)≈0.71 (s)

Step-by-step explanation:

plz give brainliest

Please answer i need it

Answers

It’s either a or d I think

Answer:

I think a rhombus

Step-by-step explanation:

12 The sixth grade at Johnson Middle School set a goal to raise $8,000 for their end-of -the-year field trip to Washington DC. September December March $10,000 $10,000 $9,000 $9,000 $8,000 Goal $7,000 $10,000 $9,000 $8,000 Goal $8,000 Goal $7,000 $7,000 $6,000 $5,000 $6,000 $5,000 $4,000 $3,000 $2,000 $1,000 $6,000 $5,000 $4,000 $4,000 $3,000 $3,000 $2,000 $1,000 $2,000 $1,000 60 Grade Grade 6 Grade (a) On the first day of school, Bethany's family donated $60 to the field trip fundraiser. What percent of their total goal did Bethany's family donate? F 0.75% G 75% H 2.5% J 0.25%​

Answers

Answer:

0.75%

Step-by-step explanation:

Total amount to generate at fundraiser = $8000

Amount donated by Bethany family = $60

The percentage of Bethany's donation towards the fundraiser is :

Let percentage = x

x% of 8000 = 60

x/100 * 8000 = 60

0.01x * 8000 = 60

80x = 60

Divide both sides by des by 80

80x / 80 = 60 / 80

x = 0.75

. log 3x4
Expand each expression

Answers

Answer:

12

Step-by-step explanation:

because 3x4 is 12

Farhana purchases a computer for $850. The store charges her 8% sales tax on the purchase. How much will the store charge for the purchase, including the sales tax?

Answers

Answer: it will be $670 with the tax sales

Step-by-step explanation:there you go!

please help!!! k need this answer

Answers

I would say the answer is d
Sorry if I’m wrong

In recent years, Japan's population has been declining at a rate of 0.1% per year. If you were to write an exponential equation representing the situation, what would the decay factor be?


A- .999


B- 0.99


C- .91


D- 1.001

Answers

The answer is B I think

the decay factor for the given decay rate is 0.999

Given :

In recent years, Japan's population has been declining at a rate of 0.1% per year.

we need to find the decay factor for the given exponential rate.

The rate of decay is 0.1%. To remove percentage we divide by 100

so , [tex]\frac{0.1}{100}=0.001[/tex]

The decay rate is 0.001

To find out decay factor , we subtract decay rate from 1

decay factor is 1- decay rate

Decay factor is 1-0.001=0.999

So the decay factor for the given decay rate is 0.999

Learn more :  brainly.com/question/20065566

estimate 7/8 of 4/5. I will give brainiest

Answers

0.7 I think is the answer. I just looked it up

Answer:

0.7

Step-by-step explanation: I used a calculator.

The radius of a circle is 13 in. Find its area in terms of
π

Answers

Answer:

169pi in. squared

Step-by-step explanation: 13x13xpi

2 divided by 9/10 (in fraction or mixed number form)

Answers

Answer:

decimal: 2.22 mixed number: 2 2/9

2. (- 6x + 3) + (x - 7)​

Answers

Answer:

-5x-4

Step-by-step explanation:

You first have to combine like terms. (-6x + x) + (+3 -7) = -5x-4

Answer:

-6x^2+45x-21

Step-by-step explanation:

So use the FOIL method

First- -6x*x

Outter- -6x*-7

Inner- 3*x

last- 3*-7

please help me i really need help please

Answers

Answer: it’s option 3

Step-by-step explanation:

y = -1/2x + 2 is the correct answer

Simplify 32 ⋅ 35. (4 points)

Question 3 options:

1)

37

2)

310

3)

97

4)

910

Answers

Answer:

Jul 25, 2019 — Click here to get an answer to your question ✍️ 3. Simplify 32 • 35 ... 3. Simplify 32 • 35. (4 points) 37 310 97 910. 2. See answers. Log in to ...

2 answers

Step-by-step explanation:

The polygons are similar. Solve for x.

scale factor from A to B = 3:5

Answers

Answer:

9

Step-by-step explanation:

if scale factor is 3/5, then

(x+12):35=3:5, ⇒

[tex]\frac{x+12}{35} =\frac{3}{5}; x=21-12; x=9[/tex]

pls help me no one is answering my questions T_T

Answers

Step by step explanation:

Circle numbers - 545 and 110 , 53

Underline - question - How much did they make on Tuesday?

Box - key words How Much

Evaluate and draw 545/110 = 5.95 per burger, so then you would multiply 53 x 5.95

Solve and check 53 x 5.95 = _______ your answer

Luis rides his bicycle 3/4 mile in 5 minutes along the bike trail.
Assuming he rides at a constant rate, what is his speed, in miles per hour? Use the table to help find the answer.
Enter your answer in the box.

Answers

Answer: 3 mph.

Because....

3/4 of a mile is 0.75 miles.

0.75 miles = 15 minutes

X = 15 * 1 / 0.75

X = 20 minutes takes a mile to travel

20 minutes = 1 mile

60 minutes = X

Clearing X would give:

X = 60/20

X = 3 miles per hour.

Luis rides 3 miles per hour.

* Hopefully this helps:) Mark me the brainliest!!!

Answer the questions below. Write your answers in simplest form.
(a) A square has an area of 144 ft . What is the length of each side?
(b) A square has a perimeter of 28 yd. What is the length of each side?

Answers

Answer:

a) 12 ft for the length and the width

b) 7 ft as the length for each side

Step-by-step explanation:

a) Area = length x width

Since the shape is a square, that means that the length and the width have to be the same.

Because of this you have to square root 144 and you get 12 since 12x12 = 144.

b) For perimeter, this is the sum of all sides. Since a square has 4 sides and all these sides must be the same length since the shape is a square, then you have to do 28 ÷ 4 and you get 7 as your answer

The well-known state of East Dakota spent approximately $80.8 billion in 2016. Its population at that time was about 3.203 million people. How much did East Dakota spend per capita in 2016? Round to the nearest dollar.

Answers

Answer:

$25,226

Step-by-step explanation:

We know that one billion is equal to 1,000 millions

So, we first multiply 80.8 by 1,000 so we can use millions as our unit.

Which gives you $80,800

So, East Dakota spent $80,800 million in 2016 for the 3.203 million people. Right now, we just ignore the "million" part and divide 80,800 by 3.203 which is around 25,226.35029659694

Now we just round it to the nearest dollar and since the tens place is only at 3, we round down.

Hence, our answer is $25,226

John's family visited his grandmother over the weekend. The drive to her house took 2 hours at their usual speed. The trip took 15 minutes longer because traffic was bad and they had to drive 5 mph slower. How many miles away is Johns grandmother's house?

Answers

Let the normal speed = x mph

The way to his grandmothers they drove 2x miles

Return trip was 2.25(x-5)

Set those equal and solve for x:

2x = 2.25(x-5)

Simplify:

2x = 2.25x -11.25

Subtract 2.25x from both sides:

-0.25x = -11.25

Divide both sides by-0.25:

X = 45

The usual speed is 45 mph.

So now 2 hours at 45 mph = 90 miles to his grandmothers house

Answer:

90 miles

Step-by-step explanation:

We did this in class when we were going over the hw and decided to help. Sorry if I'm too late.

Simplify the expression.
2x+)+(+1 8x - 3

Answers

If there are no parentheses then 20x-3 but it is hard to understand where u were trying to put the parentheses

Please answer this correctly without making mistakes

Answers

Answer:

16

Step-by-step explanation:

The distance is given by

d = sqrt( (x2-x1) ^2 + ( y2-y1) ^2)

Since the x values are the same

d = sqrt(  ( y2-y1) ^2)

d = sqrt(  (( -6 - 10)^2))

d =  sqrt((-16) ^2)

d = 16

We can also just find the number of squares between the points since the x value is the same.

10 - -6

10+6

16

Answer:

16

Step-by-step explanation:

10 - -6 = 10 + 6 = 16

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