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tresset_1 [31]
3 years ago
8

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)?
Mathematics
1 answer:
Ierofanga [76]3 years ago
7 0

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

 

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Iteru [2.4K]

Answer:

They will be able to.

Step-by-step explanation:

You first want to make sure the first three families have enough to eat.

6\frac{1}{2} - 2\frac{7}{8} = 3\frac{5}{8}

For further explanation look at the first image.

3\frac{5}{8} > 2\frac{7}{8}

Just to make sure

3\frac{5}{8} - 2\frac{7}{8}=\frac{3}{4}

For further explanation look at the second image.

The rest of the images show a model solution.

7 0
3 years ago
PLEASE HELP! SUPER EASY QUESTION! THANK YOU!
kobusy [5.1K]

Answer:

Step-by-step explanation:

a+pR^2-2pr^2, since R=15 and r=7.5

A=225p-112.5p

A=112.5p

a= 353.25ft^2

8 0
3 years ago
Read 2 more answers
Part A
romanna [79]

The amount earned hourly by Ryan and the number of work hours required to cover his vacation cost are $29.75 and 63 hours respectively.

<u>Given the Parameters</u> :

  • Total amount earned = $238

  • Number of hours worked = 8 hours

Hourly earning = Total earning ÷ number of hours worked

Hourly earning = $238 ÷ 8 = $29.75

B.)

Vacation cost = $1850

Hourly earning = $29.75

<u>Number of work hours required</u> :

  • Vacation cost ÷ Hourly earning

  • $1850 ÷ $29.75 = 62.18

Therefore, Ryan will need to work for 63 hours to cover his vacation expenses.

Learn more : brainly.com/question/18796573

4 0
3 years ago
What is the explicit rule for the geometric sequence?<br> 600, 300, 150, 75, ...
pochemuha

Answer:

Step-by-step explanation:

Hello, this is a geometric sequence so we are looking for a multiplicative factor.

a_0=600\\\\a_1=a_0 \cdot \boxed{\dfrac{1}{2}} = 300 = 600 \cdot \boxed{\dfrac{1}{2}}\\\\a_2=a_1 \cdot \boxed{\dfrac{1}{2}} = 150= 300 \cdot \boxed{\dfrac{1}{2}}\\\\a_3=a_2 \cdot \boxed{\dfrac{1}{2}} = 75 = 150 \cdot \boxed{\dfrac{1}{2}}

So, the explicit formula is for n

\boxed{a_n=a_0\cdot \left(\dfrac{1}{2}\right)^n=600\cdot \left(\dfrac{1}{2}\right)^n}}

Hope this helps.

Do not hesitate if you need further explanation.

Thank you

5 0
3 years ago
Please answer quickly
scZoUnD [109]

f(x)=(x+a)/b

or bf(x)=x+a

let f(x)=y

by=x+a

flip x and y

bx=y+a

or y=bx-a

or f^{-1}(x)=bx-a

also g(x) is inverse of f(x)

bx-a=cx-d

so b=c,a=d

again let g(x)=y

y=cx-d

flip x and y

x=cy-d

cy=x+d

y=(x+d)/c

or g^{-1}(x)=(x+d)/c

also f(x) is inverse of g(x)

so (x+a)/b=(x+d)/c

so a=d,b=c

so in either case a=d,b=c

take b=c=1

a=d=2

f(x)=(x+2)/1=x+2

g(x)=1x-2=x-2

so f(x) and g(x) are two parallel lines f(x) with y- intercept=1 and slope 0

g(x) with y-intercept -2 and slope 0

if we take b=c=2,a=d=3

f(x)=(x+3)/2=x/2+3/2

g(x)=2x-3

here f(x) is of slope 1/2 and y-intercept 3/2

g(x) is of slope 2 and y intercept -3

part 3.

f(f(x))=g((x+a)/b)=c[(x+a)/b]-d=(c/b)(x+a)-d

5 0
2 years ago
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