All categories

3 years ago

Can you guys help me

Mathematics

1 answer:

Akimi4 [234]3 years ago

7 0

Answer:

Step-by-step explanation:

You might be interested in

A plane flying horizontally at an altitude of 1 mile and a speed of 510 mi/h passes directly over a radar station. Find the rate

sdas [7]

Answer:

442 miles

Step-by-step explanation:

Given

To properly solve this question, I illustrate some given parameters using attached image

From the image, apply Pythagoras theorem

$x^2 + 1^2 = y^2$

Differentiate w.r.t time (t)

$2x\frac{dx}{dt} + 0 = 2y\frac{dy}{dt}$

$2x\frac{dx}{dt} = 2y\frac{dy}{dt}$

Divide both sides by 2

$x\frac{dx}{dt} = y\frac{dy}{dt}$

From the question, we have that the plan travels are 510mi/h.

This implies that:

$\frac{dx}{dt} = 510mi/h$

So, we then calculate the value of x when the distance (y) is 2mi i.e.:

$y = 2mi$

Apply Pythagoras theorem

$x^2 + 1^2 = y^2$

$x^2 + 1^2 = 2^2$

$x^2 + 1 = 4$

$x^2 = 4-1$

$x^2 = 3$

$x = \sqrt 3$

So, the expression becomes:

$x\frac{dx}{dt} = y\frac{dy}{dt}$

$\sqrt 3 * 510 = 2* \frac{dy}{dt}$

$\frac{\sqrt 3 * 510}{2} = \frac{dy}{dt}$

$\sqrt 3 * 255 = \frac{dy}{dt}$

$\frac{dy}{dt} = 255\sqrt 3$

$\frac{dy}{dt} = 255 * 1.7321$

$\frac{dy}{dt} = 441.655$

$\frac{dy}{dt} = 442$

Hence, the distance is 442 miles

7 0

3 years ago

If you answer this you will get brainless

Yanka [14]

Answer:

Step-by-step explanation:

A doesn't repeat at all
B just repeats on the 3
C repeats on the 1 and 3
D repeats on the 5, 1, and 3

6 0

2 years ago

Read 2 more answers

Which function is the inverse of g(x)3x-15

Korolek [52]

Answer:

Inverse of g(x)=x+15/3

Step-by-step explanation:

g(x)=3x-15

Let, g(x) be y

y=3x-15

Interchange x and y

x=3y-15

x+15=3y

y=x+15/3

5 0

3 years ago

Penelope goes to work after school for 4.5 hours on Mondays, Tuesdays, and Fridays. She doesn’t have classes on Wednesdays or Th

iVinArrow [24]

Answer:

Her hourly rate is $14.

Step-by-step explanation:

Given:

Penelope goes to work after school for 4.5 hours on Mondays, Tuesdays, and Fridays.

She works 8 hours each on Wednesdays or Thursdays.

Now, to find her hourly rate.

So, total hours Penelope work on Mondays, Tuesdays, and Fridays:

$4.5+4.5+4.5=13.5\ hours.$

And, total hours she work on Wednesdays and Thursdays:

$8+8=16\ hours.$

Now, the total hours each week she work:

$13.5+16=29.5\ hours.$

Total money she makes each week = $413.

Now, to get the hourly rate we divide the total hours each week she work by total money she makes each week:

$413\div 29.5$

$=\$14.$

Therefore, her hourly rate is $14.

6 0

3 years ago

12dogs to 92 cats whats the ratio as a fraction in simplest form

DedPeter [7]

12 dogs to 92 cats.

12/92

Both 12 and 92 are divisible by 4.

12/4=3

92/4=23

Simplified ratio: 3/23

There are 3 dogs for every 23 cats.

4 0

3 years ago