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
marishachu [46]
2 years ago
9

An oil tank has to be drained for maintenance. The tank is shaped like a cylinder that is 4 ft long with a diameter of 1.6 ft. S

uppose oil is drained at a rate of 1.7 ft³ per minute. If the tank starts completely full, how many minutes will it take to empty the tank?
please answer if you know how to do this question. Thank you :)
Mathematics
1 answer:
oee [108]2 years ago
6 0
It will take 4.7 minutes to empty the tank. This is because you first would have to find the area of the tank. In order to do that you would have to find the area of just the flat circle, so to do that you do the radius squared times pi. So take the diameter divide it by 2 And get 0.8 (radius) and then square it (multiply it by itself) and get 0.64 than multiply it by 3.14. Than take the answer to that and multiply it by the height (4) and than divide by 1.7 .

Hope that helped :)
You might be interested in
Yvette earns $3 for every 1/4 hour she works. what is her hourly rate of pay
Lunna [17]
Yvette's hourly rate of pay is $12.
3+3+3+3=12
7 0
2 years ago
Given tan theta =9, use trigonometric identities to find the exact value of each of the following:_______
Ludmilka [50]

Answer:

(a)\ \sec^2(\theta) = 82

(b)\ \cot(\theta) = \frac{1}{9}

(c)\ \cot(\frac{\pi}{2} - \theta) = 9

(d)\ \csc^2(\theta) = \frac{82}{81}

Step-by-step explanation:

Given

\tan(\theta) = 9

Required

Solve (a) to (d)

Using tan formula, we have:

\tan(\theta) = \frac{Opposite}{Adjacent}

This gives:

\frac{Opposite}{Adjacent} = 9

Rewrite as:

\frac{Opposite}{Adjacent} = \frac{9}{1}

Using a unit ratio;

Opposite = 9; Adjacent = 1

Using Pythagoras theorem, we have:

Hypotenuse^2 = Opposite^2 + Adjacent^2

Hypotenuse^2 = 9^2 + 1^2

Hypotenuse^2 = 81 + 1

Hypotenuse^2 = 82

Take square roots of both sides

Hypotenuse =\sqrt{82}

So, we have:

Opposite = 9; Adjacent = 1

Hypotenuse =\sqrt{82}

Solving (a):

\sec^2(\theta)

This is calculated as:

\sec^2(\theta) = (\sec(\theta))^2

\sec^2(\theta) = (\frac{1}{\cos(\theta)})^2

Where:

\cos(\theta) = \frac{Adjacent}{Hypotenuse}

\cos(\theta) = \frac{1}{\sqrt{82}}

So:

\sec^2(\theta) = (\frac{1}{\cos(\theta)})^2

\sec^2(\theta) = (\frac{1}{\frac{1}{\sqrt{82}}})^2

\sec^2(\theta) = (\sqrt{82})^2

\sec^2(\theta) = 82

Solving (b):

\cot(\theta)

This is calculated as:

\cot(\theta) = \frac{1}{\tan(\theta)}

Where:

\tan(\theta) = 9 ---- given

So:

\cot(\theta) = \frac{1}{\tan(\theta)}

\cot(\theta) = \frac{1}{9}

Solving (c):

\cot(\frac{\pi}{2} - \theta)

In trigonometry:

\cot(\frac{\pi}{2} - \theta) = \tan(\theta)

Hence:

\cot(\frac{\pi}{2} - \theta) = 9

Solving (d):

\csc^2(\theta)

This is calculated as:

\csc^2(\theta) = (\csc(\theta))^2

\csc^2(\theta) = (\frac{1}{\sin(\theta)})^2

Where:

\sin(\theta) = \frac{Opposite}{Hypotenuse}

\sin(\theta) = \frac{9}{\sqrt{82}}

So:

\csc^2(\theta) = (\frac{1}{\frac{9}{\sqrt{82}}})^2

\csc^2(\theta) = (\frac{\sqrt{82}}{9})^2

\csc^2(\theta) = \frac{82}{81}

4 0
3 years ago
Describe a graph of the height of the object over time.
s344n2d4d5 [400]

Answer: Projectile motion involves objects that are dropped, thrown straight up, ... pjm1. bracketleft. y = height t = time in seconds a = acceleration due to gravity ... Notice that this formula is a quadratic function, which means its graph will be a parabola.

Step-by-step explanation:

7 0
3 years ago
Parker is testing 2 different types of ant killer in his yard. He purchases Brand A and Brand B from the home improvement store.
NNADVOKAT [17]

Answer:

 

He did not wait as long between each treatment of ant killer.

Step-by-step explanation:

He did one on monday and another on saturday then checked them on sunday

8 0
3 years ago
% is the correct percentage conversion for 2/5
denis-greek [22]

Answer:

%40

Step-by-step explanation:

<u>Step 1:  Divide 2/5</u>

2/5 = 0.4

<u>Step 2:  Convert to Decimal by multiplying by 100</u>

0.4 * 100 = %40

Answer:  %40

6 0
3 years ago
Read 2 more answers
Other questions:
  • For what values of a is the value of the binomial 2a−1 smaller than the value of the binomial 7−1.2a by 7?
    11·1 answer
  • What is 3 1/4 x 6 3/4 = i need help i will mark you the brainiest to!!!!!!!!
    5·1 answer
  • 30) Find the 29th term of the following sequence. <br><br> 27, 24, 21, 18, . . .
    13·1 answer
  • Factor x3 ‒ 11x2 ‒ 7x + 77 by grouping. What is the resulting expression?
    15·1 answer
  • Someone pleaseee help♡ <br><br> Graph y &lt; 1 - 3x
    7·1 answer
  • The perimeter of a rectangle measures 24 inches. One side measures 7 inches. What does the missing length measure?
    5·2 answers
  • Whats the answer for 6×6​
    9·2 answers
  • Please helpp pleasee!!!
    10·1 answer
  • Each employee in a company is either right-handed or left-handed.
    11·1 answer
  • 200x - y + 500= 0<br><br>Put it in Y=mx + b form<br><br><br><br>​
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!