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
Ket [755]
2 years ago
15

Derek is hang gliding on a clear day at an altitude of a feet. His visibility, v, is 67.1 mi. Use the formula v = 1.225 to find

the altitude at which Derek is hang gliding.

Mathematics
2 answers:
maksim [4K]2 years ago
8 0

Step-by-step explanation:

since the equation is v = 1.225 × sqrt(a)

we can plug in the known values to find the altitude.

so:

(67.1/1.225)^2 = a

a = 3000

Margaret [11]2 years ago
6 0

Base on the visibility formula v = 1.225√a, the altitude at which Dereck is hang gliding is 7.4 miles

<h3>How to find altitude using visibility formula?</h3>

The visibility formula is given as follows:

v = 1.225√a

where

  • a = altitude
  • v = visibility

Therefore,

v = 67.1 miles

v = 1.225√a

67.1 = 1.225√a

divide both sides by 1.225

√a = 67.1 / 1.225

√a = 54.7755102041

square both sides

√a² = √54.7755102041

a = 7.40104789878

a = 7.4 miles

learn more on visibility here: brainly.com/question/16166215

You might be interested in
The time t (in minutes) for a small plane to climb to an altitude of h feet is given by t = 50 log10 (18000/(18000-h)) where 180
Arlecino [84]
Domain = x<18000(You cant og a negative number)
Am I actually supposed to graph it? enter the equation on desmos.com
It takes longer to make the same altitudinal gain
t=50log(18000/(18000-4000))=50log(18000/14000)=5.457
5 0
3 years ago
How to factor out this equation<br>16c^4 +64c +39<br><br>show steps
Zepler [3.9K]
I hope this helps you



16c^2+64c+39


4c +13


4c +3


(4c+13)(4c+3)

4 0
3 years ago
The height of one solid limestone square pyramid is 21 m. A similar solid limestone square pyramid has a height of 30 m. The vol
Elina [12.6K]

Answer:

Part a) The scale factor of the smaller pyramid to the larger pyramid in simplest form is \frac{7}{10}

Part b) The ratio of the volume of the smaller pyramid to the larger pyramid is \frac{343}{1,000}

Part c) The volume of the smaller pyramid is 4,116\ m^{3}

Step-by-step explanation:

Part a) The scale factor of the smaller pyramid to the larger pyramid in simplest form

we know that

If two figures are similar, then the ratio of its corresponding sides is equal and this ratio is called the scale factor

so

Let

z----> the scale factor

x----> the height of the smaller pyramid

y----> the height of the larger pyramid  

z=\frac{x}{y}

substitute the values

z=\frac{21}{30}

Simplify

z=\frac{7}{10} -----> scale factor in simplest form

Part b) Ratio of the volume of the smaller pyramid to the larger pyramid

we know that

If two figures are similar, then the ratio of its volumes is equal to the scale factor elevated to the cube

so

Let

z----> the scale factor

x----> the volume of the smaller pyramid

y----> the volume of the larger pyramid  

z^{3}=\frac{x}{y}

we have

z=\frac{7}{10}

substitute

\frac{7}{10}^{3}=\frac{x}{y}

Rewrite

\frac{x}{y}=\frac{343}{1,000} -----> ratio of the volume of the smaller pyramid to the larger pyramid

Part c) The volume of the smaller pyramid

we know that

If two figures are similar, then the ratio of its volumes is equal to the scale factor elevated to the cube

so

Let

z----> the scale factor

x----> the volume of the smaller pyramid

y----> the volume of the larger pyramid  

z^{3}=\frac{x}{y}

we have

z=\frac{7}{10}

y=12,000\ m^{3}

substitute the values and solve for x

(\frac{7}{10})^{3}=\frac{x}{12,000}

x=\frac{343}{1,000}(12,000)=4,116\ m^{3}

8 0
3 years ago
Javier used the equivalent ratios to find the number of millimeters in 8 inches. StartFraction 8 inches Over question mark milli
joja [24]

Answer:

203.20 millimeters

Step-by-step explanation:

StartFraction 8 inches Over question mark millimeters EndFraction = StartFraction 40 inches Over 1,016 millimeters

8 inches / ? Millimeters = 40 inches / 1,016 millimeters

8 × 1,016 = ? × 40

8,128 = 40?

Divide both sides by 40

? = 8,128 / 40

= 203.20

? = 203.20 millimeters

There are 203.20 millimeters in 8 inches

7 0
3 years ago
Read 2 more answers
Using the quadratic formula to solve 7x2 -x = 7, what are the values of x?
Sunny_sXe [5.5K]

Answer:

x=-7

Step-by-step explanation:

7x2-x=7

7x2=14.

14-x=7

When you finished the last step, you will subtract 14 to both sides.

14-x=7

14-14-x=7-14

this will cancel out the 14 on the left.

And will leave you with:

-x=7-14

7-14 is -7.

and this will get you to

-x=-7

To finish this off, you have to turn the negative x/variable, into a positive x/variable.

So, you will divide both sides of the equation by the same term.

-x = -7

into

\frac{-x}{1} =\frac{-7}{1}

and it will be -7.

I hope this helps      :)

8 0
3 years ago
Other questions:
  • How many ways are there to assign six jobs to five different employees if every employee is assigned at least one job?
    6·1 answer
  • Katie bought 2 1/2 lb of green apples and 3 2/3 lb of red apples to make pies. How many pounds of apples did Katie buy? HELP PLZ
    5·1 answer
  • the Vikings play 36 games this year at midseason they had won 16 games. How many of the remaining games must they win in order t
    9·1 answer
  • If a person with a height of 58 inches takes 2,601 steps per mile, a person with a height of 64 inches takes 2,357 steps per mil
    6·1 answer
  • I dont get this at all somebody help
    12·1 answer
  • Help! Thanks in advance!<br> Screenshotted question!
    11·1 answer
  • I’m not sure how to solve this. Please show how you solve this problem, thank you.
    11·1 answer
  • Does anyone have the answers for this?!
    12·1 answer
  • Please hurry I will mark you brainliest
    5·2 answers
  • Solve for x<br>7x = 2<br>Give your answer as a fraction in its simplest form​
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!