An osprey flying horizontally 100 feet above a lake spots a fish below. It tilts its flight path downward by 45°. If the osprey is diving at 45 mph, at what rate is its altitude changing (rounded to the nearest foot per second)?

Answers

Answer 1

Answer: the rate at which its altitude is changing is -47 ft/s

Step-by-step explanation:

Given that;

ds/dt = 45 mph =  45 × 5280/3600 = 66 ft/sec

no we have to determine dx/dt

so

cos∅ = dx/dt / ds/dt

cos45° = dx/dt / 66  

dx/dt = 0.7071 × 66

dx/dt = 46.6686 ≈ 47 ft/s ( as altitude is decreasing, its negative - )

so the rate at which its altitude is changing is -47 ft/s

 


Related Questions

5,1,0,4,0 what is the range?

Answers

Answer:

range: 4

Step-by-Step Explanation:

The two dot plots compare ages of girls and boys in a pottery class.
Which group has a greater median?

Answers

Answer:

you didn't post a picture :/

The data shows the number of salad wraps sold on each day for two weeks at a sandwich shop.


Week 1: 15, 13, 14, 14, 13, 12, 13

Week 2: 18, 3, 15, 15, 16, 14, 16


Which statement about the data is true?


a. The mean of Week 1 data is a good estimate of the sandwich shop's daily sales.



b. The mean of Week 2 data is a good estimate of the sandwich shop's daily sales.



c. Both the mean of Week 1 data and the mean of Week 2 data are good estimates of the sandwich shop's daily sales.



d. Neither the mean of Week 1 data nor the mean of Week 2 data is a good estimate of the sandwich shop's daily sales.

Answers

Answer:

Did you find the answer?

Step-by-step explanation:

a package of nine pens cost 3.60 how much is one pen

Answers

Answer:

Step-by-step explanation:

40 cents

Answer:

40 cents.

Step-by-step explanation:

If you take 3.6 and divide it by nine, you get 0.4. To check, if you multiply 0.4 times 9, you get 3.6. Hope this helps :)

A chemist has a solution of 65% pure acid and another solution of 30% pure acid. How many gallons of each will make 350 gallons of 55% pure acid solution?

Answers

Answer:

250 of 65% acid

100 gallons of 30% acid

Really sorry if this is incorrect, I had this question on my Lesson 16 test, and I don't know if it's correct or not...

Answer:

250 of 65% acid

100 g of 30% acid

Step-by-step explanation:

Dave leaves his house and bikes directly east for 3 miles. He then turns and bikes directly
south for 4 miles. How many miles is Dave from his house?

Answers

Answer:

12

Step-by-step explanation:

Rewrite in simplest terms: -2(3g-8g+8)-9g−2(3g−8g+8)−9g

Answers

Answer: 2g - 32

Step-by-step explanation:

-2 (3g - 8g + 8) - 9g - 2 (3g - 8g + 8) - 9g

First step is to use the distributive property to distribute 2.

The expression is now:

-6g + 16g - 16 - 9g - 6g + 16g - 16 - 9g

Now you put the like terms together..

-6g + 16g - 9g - 6g + 16g - 9g -16 - 16

All that is left to do is combine them!

(-6g + 16g - 9g - 6g + 16g - 9g) + (-16 - 16)

2g + (-32)

2g - 32

Hope that helped!

Is this a function?

Answers

No I don’t believe it is


Determine what type of sequence this is:
6.5, 5.3.5, 2....
Arithmetic or
Geometric

What is the common difference or common ratio of this sequence?
6.5, 5.3.5. 2....

Answers

Answer:

6.5=30, 5.3.5.2=150

It is a geometric series.

30, 150,......

a1=30

common ratio

r= 150/30= 5

an=ar^(n-1)

What is the least common multiple of 40 and 30

Answers

Answer:

120

Step-by-step explanation:

Martin's car had 86,456 miles on it. Of that distance, Martin's wife drove 24,901 miles,
and his son drove 7,997 miles. Martin drove the rest. How many miles did Martin drive?
Show work.

Answers

Answer:

Martin drove 53,558 miles.

Step-by-step explanation:

If you add up the amount of miles his son and wife drove, you get 32,898. To get the answer, you would subtract that from the total number of miles to get 53,558.

Onii-Chan help me whit 5-8

Answers

the answer to 5-8 is 3

What is the decimal equivalent of the fraction 2?
0 2.125
0 2.4
O 2.1
O 2.18

Answers

Answer:

2 .1 because its closes to two

Noah fills a soap dispenser from a big bottle that contains 2 1/3 liters of liquid soap. That amount of soap will fill 3 1/2 dispenser. How many liters of soap fit into one dispenser

Answers

Answer:

i have no more money to buy a candle shop full of dogs with cats and people

Step-by-step explanation:

ur mae

Answer:

None

Step-by-step explanation:

When 3a? – 7a+ 6 is subtracted from 4a? - 3a +4,
the result is

Answers

Step-by-step explanation:

(3a-7a+6)-(4a-3a+4)

(-4a+6)-(1a+4)

Add the remaining a's together, as well as the 6 and 4.

you get,

-3a+10

A store owner paid $15 for a book. She marked up the price of the book by 40% to determine its selling price.



A.) What is the selling price, in dollars, of the book?



B.) A customer buys a different book that has an original selling price of $38. The book is discounted 25%. The customer must pay a 6% sales tax on the discounted price of the book. What is the total amount, in dollars, the customer pays for the discounted book?

Answers

Answer:

First, find 75% of 38. Then multiply that number by 1.06. That should give you the answer. Your welcome if your still confused just answer back!

Step-by-step explanation:

Answer:

21

Step-by-step explanation:

If two parents, one with brown eyes (a dominant trait) and the other with blue eyes (the recessive trait) produce one twin boy with blue eyes, what is the probability that a fraternal twin will transmit the blue eye allele to his or her offspring

Answers

Answer:

50 percent

Step-by-step explanation:

It is given that one of the parent with a dominant trait have brown eyes and the other parent with a recessive trait has blue eyes. They produce a twin boy with eyes that is blue in color. So the probability of the fraternal twin to transmit his allele of blue eye to his or her offspring is 50 percent.

And also the probability of the offspring to pass the allele on to his or her offspring is 50 %.

The product rule is used : 0.5 x 0.5 = 0.25 or 25%.

I need this it’s due today

Answers

answer
a=9

hope this helps and have a wonderful day :)

i think the answer is 9

Step-by-step explanation:

step 1. simplify both sides of the equation

step 2. add 17 to both sides

step 3. multiply both sides by 3

answer a =9

my teacher would like you to solve this using fraction ex:(345/x=727/2355) (just a heads up!!) please help :)​

Answers

Answer:

84

Step-by-step explanation: (edited)

52% problems are pointless i.e. 48% are NOT pointless.

Recall that 1% = 1/100.

Therefore 48% = 48/100 = 12/25.

Let x be the number of problems that are not pointless.

x/175 = 12/25

x = 84

Answer:

84

Step-by-step explanation:

According to the question

175×48%

175×48/100

7×48/4

7×12

84

Hi please help me answer this :)

Explain answer

Will give braisnlt

Answers

Answer:

There are no solutions

Step-by-step explanation:

No intersections or points that apply for the equations.

Any intersection between both lines is a solution. As these lines are parallel they have no solution. If they met at any point, 90 degree or not, there is  solution, the solution will be a point. If they are on the same line, hitting all the same points, the solutions are infinite.

Plz help me will put Brainiest
The maximum weight allowed per car on The Wildcat carnival ride is 297 pounds. Your friend weighs 99 pounds.
able to ride in a car together, how much can you weigh? Write and solve an inequality.

X + 99 S 198, at most 297 pounds

X + 99 5 297, at most 198 pounds

X-99 < 297, at most 99 pounds

x + 198 5 297, at most 99 pounds


Answers

Answer:

161 + 60 inequality-lessthanorequalto 221; at most 161 pounds

221 - 60 =161

Step-by-step explanation:

SOMEONE PLEASE HELP!!! THIS IS MY LAST QUESTION!!!

Answers

Answer:

The answer to the question provided is 30.

Step-by-step explanation:

[tex] \frac{18}{27} = \frac{20}{x} \\ \\ \frac{540}{18} = \frac{18x}{18} \\ \\30 = x[/tex]

Happy to help!

Answer:  x = 30

=====================================================

Explanation:

Due to the parallel lines, we have two similar triangles. So the sides are proportional.

18/27 = 20/x

2/3 = 20/x

2x = 3*20

2x = 60 .... cross multiply

x = 60/2

x = 30

---------------

Another way you can approach it is to say

18/(18+27) = 20/(20+x)

18/45 = 20/(20+x)

2/5 = 20/(20+x)

2(20+x) = 5*20

40+2x = 100

2x = 100-40

2x = 60

x = 60/2

x = 30

If 4 movie tickets cost $28, how much would it cost to buy 9 movie tickets

Answers

Answer:

$63

Step-by-step explanation:

First, divide 28 by 4 to get 7

Now we know that one ticket cost $7.

Do 7 times 9 to get 63

9 tickets costs $63

9 movie tickets would cost $63.

Since 4 movie tickets cost $28, you can divide 28 by 4 to get 7. From here, you can multiply 7 by 9 to get 63.

May I have brainliest please? :)

Simplify: 5w^5-(-4w^5)

Answers

Answer:

9w^5

Step-by-step explanation:

Find the value of x. 1) m angle2=3x-6 120° 2 B) 10 D) 6 A) 12 C) -11​

Answers

dmdkd bdkdnsndnxnfndksndnxjxkdndkdkd disks

The system shown has (blank)
solution(s).
y= -x+1
2y - x = 2

Answers

Answer:

x=0 and y=1

Step-by-step explanation:

can someone fact check this to make sure its correct

Answers

All your answers look good!

Answer:

looks good

Step-by-step explanation:

PLEASE HELPPPP ME!!!!!

Answers

Answer:

Problem 1: No

Problem 2: Yes

Step-by-step explanation:

Problem 1:

{(-2, 1), (-2, 3), (0, -3), (1, 4), (3, 1)}

This relation is not a function because there are two y-values, 1 and 3, related to one x-value, -2.

Thus, for a relation to be a function, every x-value must be related to exactly 1 y-value.

Problem 2:

{(0, 2), (3, 4), (-3, -2), (2, 4)}

In this relation, each x-value (domain) has exactly one y-value (range) that it is related to. Therefore, this is a function.

Find the x-Intercept and the y-Intercept of the line below. Click on "None" if applicable.
None

Answers

Answer: X-intercept is (2,0)

Y-intercept is (0,-2)

Step-by-step explanation:

Answer:

X-intercept is (2,0)

Y-intercept is (0,-2)

Step-by-step explanation:

The x intercept is the point at which the line hits the x-axis

in this picture, you can see that the given line hit the x-axis at (2,0)

The y intercept is the point at which the line hits the y-axis

so in this case you can see the the line hits the y-axis at (0,-2)

Bonus: if a line is horizontal it will not have an x intercept, and if a line is vertical, it will not have ay intercept

Simplify the expression:
Question 20 options:

A)



B)

2

C)

4

D)

Answers

Whats the expression?
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