A fuel tank is in the shape of a right circular cylinder. The radius of the base and height of the tank are

10

feet and

25

feet, respectively. Due to safety measures, the tank can be filled to only

80

%

of its capacity.


If

100

cubic feet of fuel are equal to

2. 78

gallons, what is the maximum number of whole gallons of fuel the tank can contain due to safety measures?

Answers

Answer 1

The maximum number of whole gallons of fuel the tank can contain due to safety measures is 174.584 gallons

Volume of a cylinderv = πr²h

r = radius

h = height

Therefore,

r = 10 ft

h = 25 ft

The tank can only be 80% filled due to safety measures. Therefore,

v = 3.14 × 10² × 25

v = 3.14 × 100 × 25

v = 3.14 × 2500

v = 7850 ft³

80% capacity of 7850 ft³  is as follows:

80 / 100 × 7850 = 628000 / 100 = 6280 ft³

100 ft³ = 2.78 gallons

6280 ft³ = ?

cross multiply

maximum number of whole gallons  = 6280 × 2.78 / 100 = 17458.4 / 100 = 174.584 gallons

Therefore, the maximum number of whole gallons of fuel the tank can contain due to safety measures is 174.584 gallons

learn more on cylinder here: https://brainly.com/question/1780981


Related Questions

PLS HELP WILL GIVE BRAINLIEST

Answers

Answer:

y = 1/2x - 1

Step-by-step explanation:

The x value is divided by 2 and then has 1 subtracted from it.

also for future posts, put the question in the title that way people know what you need and can click if they know the answer.

can you please help me, i really need it.

Answers

The right is answer the left is explanation

Download GAUTH MATH ( math only ) don't report my answer just delete it thank you !

Sue gets 4 texts every 10 minutes. How many texts does she get in a week

Answers

Answer:

she gets 280 texts in a week

Step-by-step explanation:

just multiply 4 times 10 then multiply that answer which is 40 then multply 40 times 280

What factors of 12 would add to be 7

Answers

Hey there!

These are the factors of 12:

1, 2, 3, 4, 6, 12

These are the factors that add up to 7:

6+1

3+4

These are the factors of 12 that add up to 7 and multiply to 12:

3 & 4

Hope everything is clear.

Let me know if you have any questions!

Always remember:  Knowledge is power!

please help me with segment addition and midpoints

Answers

Answer:

3

Step-by-step explanation:

Since we know QR and RS are the same, we can add them together

6 + 6 = 12

Since the whole line is 15 we subtract 12 from 15

15 - 12 = 3

What is the coefficient b makes the equation true for any real number x -3 (2x-3) + 5x = bx + 9

Answers

Answer:

b = 0

Step-by-step explanation:

x -3 (2x-3) + 5x = bx + 9

x - 6x +9 + 5x = bx + 9

-9 -9

x - 6x + 5x = bx

-5x + 5x = bx

0 = bx

b/x 0/x

b = 0

12 , − 7 , − 20 , − 9 , − 5 , 6 , 2 , − 12 , 15 , 16 State the median.

Answers

To find the median, we must order the numbers from least to greatest and find the middle number which will be the median.

     List in order: -20, -12, -9, -7, -5, 2, 12, 15, 16

The number in the middle position is -5 <-- median

Hope that helps!

Tamara attends a cycling class that starts at 6:00. The class lasts 45 minutes. What time does class end?
Group of answer choices

A.15 minutes before 7:00

B.15 minutes after 6:00

C.45 minutes before 7:00

D.45 minutes after 7:00

Answers

Answer: C. 45 minutes before 7:00

Hope this helps! :)

Brainliest please.

Which would be the best trend line for the given data set? ​

Answers

do you have a pictureso i can tell it would help

The numbers in any column row or diagonal in the gird below multiply to give an answer of 1 complete the grid

Answers

Step-by-step explanation:

Let’s just start with rows. I’m going to use a, b, and c for the missing numbers (a in the first row, b in the second, c in the third).

Row 1 — 5 × 4 × a = 1

20 × a = 1 → a = 1/20

Row 2 — b × 1 × 100 = 1

b × 100 = 1 → b = 1/100

Row 3 — 20 × 1/4 × c = 1

5 × c = 1 → c = 1/5

Check Columns:

5×1/100×20 = 5(20)/100 = 100/100 = 1 ✓

4 × 1 × 1/4 = 1 ✓

1/20×100×1/5 = 100/(20*5) = 100/100 = 1 ✓

Check Diagonals:

5 × 1 × 1/5 = 5/5 = 1 ✓

20 × 1 × 1/20 = 20/20 = 1 ✓

5. Simplify the expression,
(-2 - 5i) - (-4+6i)
2 - 11i
-2+i
-6 + 11i
-5i

Answers

[tex]\qquad\qquad\huge\underline{{\sf Answer}}♨[/tex]

Let's simplify ~

[tex]\qquad \sf  \dashrightarrow \:( - 2 - 5i) - ( - 4 + 6i)[/tex]

[tex]\qquad \sf  \dashrightarrow \: - 2 - 5i + 4 - 6i)[/tex]

[tex]\qquad \sf  \dashrightarrow \: - 2 + 4 - 5i- 6i)[/tex]

[tex]\qquad \sf  \dashrightarrow \:2 - 11i[/tex]

Therefore, A is the Correct choice !

8) Simplify.
5(3x – 3) + 4(6x - 12)

Answers

Answer:

39x - 63

Step-by-step explanation:

5(3x - 3) + 4(6x - 12) ← distribute both parenthesis

= 15x - 15 + 24x - 48 ← collect like terms

= 39x - 63

James has 13. 7 ounces of trail mix. He shares the trail mix equally with his sister. How much trail mix does each person get?
6. 35 oz
6. 85 oz
7. 35 oz
7. 7 oz

Answers

Answer: 6.85 ounces

Step-by-step explanation:

13.7 divide by 2 because he and his sister are sharing the trail mix.13.7 = 2x6=12 so 13-12=1 and bring down the 7 so 2x8=16 17-16=11 so 2x5=10 11-10=1. But don't put 6.851 put 6.85 ounces.

A ball is hit from the ground. When that ball has traveled a horizontal distance of d meters, its height, h, in meters, can be modeled by the function (d) =-1/1125d2+d.

what is the horizontal distance from the point where the ball is hit to the point whitch ball lands on the ground.

Answers

Answer:

I'll assume the equation is h(d) = -(1/1125)d^2 + d  

Please check, the (1/1125) term is disturbing.

Step-by-step explanation:

When the ball hits the ground, the height, h(d) is 0.  We want the value of d, the distance the ball has travelled horizontally, that would give the function a value of 0.

h(d) = -(1/1125)d^2 + d

0 = -(1/1125)d^2 + d

(1/1125)d^2 - d = 0

Solve using the quadratic equation:  I get 0 and - 1125 seconds.  I conclude that the factor (1/1125) is incorrect, or some other error in the equation.

The horizontal distance from the point where the ball is hit to the point at which the ball lands on the ground is 1125.

What is a quadratic equation?

A quadratic equation is the second-order degree algebraic expression in a variable. the standard form of this expression is  ax² + bx + c = 0 where a. b are coefficients and x is the variable and c is a constant.

When the ball hits the ground, the height, h(d) is 0.  We need to find the value of d, the distance the ball has traveled horizontally, which would give the function a value of 0.

Solve using the quadratic equation

h(d) = -(1/1125)d^2 + d

0 = -(1/1125)d^2 + d

(1/1125)d^2 - d = 0

(1/1125)d^2 = d

d = 1125

Thus,  the horizontal distance from the point where the ball is hit to the point at which the ball lands on the ground is 1125.

Learn more about quadratic equations;

brainly.com/question/13197897

CAN SOMEBODY SOLVE THE PROBLEM IVE BEEN STUCK ON IT I WILL GIVE BRAINIEST


The diameter of a cylinder is 3 yd. The height is 12 yd.Find the volume of the cylinder.

Answers

Answer:

84.78cube.yd

Step-by-step explanation:

Volume of cylinder= πr^2h

3.14 × 1.5 × 1.5 × 1284.78 cube.yd

Please help me complete this chart. No URLS

Answers

Answer
y-intercept= 10
zeros= -2and4
vertex= (1,12)
Maximum Value
(negative) downward opening
axis of symmetry = x=1

Hope this helps! : )

I bought a 4 pack of tissues for $8.80. What was the unit rate?

Answers

Answer: 2.2 and/or 2.20 the zero doesn't matter

Step-by-step explanation:

4 goes into 8, 2 times bring the 2 up (4x2=8)

8-8=0

Bring down the next 8

4 goes into 8, 2 times bring the 2 up (4x2=8)

8-8=0

4 goes into 0, 0 times

0-0=0 bring up the 0 or don't

you should get 2.2 and/or 2.20

Note: Images may not be drawn to scale
Square A'BC V' is a ditation of square ABCD.
What is the scale factor?
Enter your answer in the box
C
Be
7
8
9
11
4
5
6
6
1
2
3
V
:
$
0
*

Answers

Answer:

  1/3

Step-by-step explanation:

The scale factor is the ratio of image lengths to original lengths. For this pair of figures, the scale factor is ...

  A'B'/AB = 2/6 = 1/3

The scale factor is 1/3.

Are all relations functions

Answers

Answer:

no

Step-by-step explanation:

well

it's because in function one element of first is only associated with one element of second set

but in relation one element of first set may be associated with many elements of set second

(PLS help I’ll give brainliest to whoever can answer right nobody has been able to. )

A company makes piñatas for special events such as birthday parties. One of their piñatas is in the form of a cone-shaped hat. How much space do they have inside the piñata for candy if the piñata is 2 feet tall and 1.5 feet wide? Round to the nearest hundredth.

Answers

Volume of a cone = 3.14 x 0.75^2 x 2/3
= 3.14 x 0.5625 x 2/3
= 1.76625 x 2/3
= 1.1775 = 1.18 feet^3

Which of the following is true? there is a phase shift to the left. there is a phase shift to the right. the graph is reflected across the x-axis the graph is stretched horizontally. the graph is compressed horizontally.

Answers

Answer:

a. There is a phase shift to the left

Step-by-step explanation:

The correct statement for the graph of y = cos (x + pi/6) compared to the graph of y = cos(x) is given by: Option A: There is a phase shift to the left.

How does transformation of a function happens?

The transformation of a function may involve any change.

Usually, these can be shift horizontally (by transforming inputs) or vertically (by transforming output), stretching (multiplying outputs or inputs) etc.

If the original function is y = f(x), assuming horizontal axis is input axis and vertical is for outputs, then:

Horizontal shift (also called phase shift):

Left shift by c units: [tex]y=f(x+c)[/tex]output, but c units earlier)Right shift by c units:  [tex]y=f(x-c)[/tex]  (same output, but c units late)

Vertical shift:

Up by d units: f(x) + dDown by d units: y = f(x) - d

Stretching:

Vertical stretch by a factor k: [tex]y = k \times f(x)[/tex]Horizontal stretch by a factor k: [tex]y = f(\dfrac{x}{k})[/tex]

For this case, the parent function y = cos(x) is transformed to make the function y = cos (x + pi/6)

Thus, there is left shift of the graph of the function y =cos(x).

The graphs of both functions (parent function in red color and transformed function in blue color) is given below.

Thus, the correct statement for the graph of y = cos (x + pi/6) compared to the graph of y = cos(x) is given by: Option A: There is a phase shift to the left.

Learn more about transforming functions here:

https://brainly.com/question/17006186

In the following figure, the square ABCD is inscribed in the circle centered at point P. What is the area of the circle?

Answers

Answer:

[tex]A_{Circle} \approx 39.24\: units^2[/tex]

Step-by-step explanation:

Square ABCD is inscribed in a circle with center P such that BC = 5 units.

BD will be diagonal of the square as well as diameter of the circle.

[tex]BD = BC\times\sqrt 2[/tex]

[tex]\implies BD = 5\sqrt 2[/tex]

-> Diameter of the circle [tex](d) = 5\sqrt 2[/tex]

-> Radius of the circle [tex](r) = 2.5\sqrt 2=3.535\: units[/tex]

[tex]A_{Circle} =\pi(r)^2[/tex]

[tex]\implies A_{Circle} =3.14(3.535)^2[/tex]

[tex]\implies A_{Circle} =3.14(3.535)^2[/tex]

[tex]\implies A_{Circle} =39.2381465[/tex]

[tex]\implies A_{Circle} \approx 39.24\: units^2[/tex]

What is 8 * 8?
8*8 =
A. 64
B. 24
C. 91
D. 8

Answers

Answer: A. 64

Step-by-step explanation:

8 + 8 + 8 + 8 + 8 + 8 + 8 + 8 = 64

I need the assistance of smarter beings than I..... I'm so lost.....

Answers

Answer:

[tex]\sf \bold{ 1 * (-3)^{n-1}}[/tex]

Explanation:

first term, a₁ = 1

difference between the terms: -3

used geometric formula : [tex]\bold{\sf a_1 * (r)^{n-1}}[/tex]

where "a₁ is first term" and "r refers to common difference"

formula for this nth term: [tex]\sf \bold{ 1 * (-3)^{n-1}}[/tex]

Please help me with my work

Answers

Answer:

JM = 5 mm

Step-by-step explanation:

Δ JMK is the right angled triangle ⇒ JM² = JK² + KM²

JM² = 3² + 4²

JM = 5 mm

can u please help me? im super confused​

Answers

Answer:

25

Step-by-step explanation:

what is 35 divided by 1.4?

25.

25 x 1.4 (140%) = 35

you are looking for more than 100% of an unknown number so you can use this method to find the answer

hope that helped :)

Name the circle
Will give a lot of points!!! ASAP

Answers

Circle KJI center L, radius LK/diamter KI?

solve this system of equations using substitution, show your work (ANSWER QUICK PLEASE)

Answers

Answer:

[tex]\boxed{\sf{y=-50 \quad x=3}}[/tex]

Step-by-step explanation:

Isolate the term of x and y from one side of the equation.

y=-15x-5 and 11x+y=-17

First, you have to substitute.

[tex]\sf{y=-15x-5=11x-15x-5=-17}[/tex]

Then, you solve.

[tex]\sf{-4x-5=-17}[/tex]

Add by 5 from both sides.

-4x-5+5=-17+5

Solve.

-17+5=-12

-4x=-12

Divide by -4 from both sides.

-4x/-4=-12/-4

Solve.

-12/-4=3

x=3

y=-15*3-5


Solve.

PEMDAS stands for:

ParenthesisExponentsMultiplyDivideAddSubtract

15*3=45

Rewrite the problem down.

y=-45-5

Solve.

y=-50

Therefore, the correct answer is y=-50 and x=3.

I hope this helps you! Let me know if my answer is wrong or not.  

Write x=2 in Slope intercept form

Answers

Answer:

y= 2/1 + 0

Step-by-step explanation:

If there's not a y-int. it'll be 0.

b -5 ≥ -45 answer and steps

Answers

Answer:

-50

Step-by-step explanation:

b-5 [tex]\geq -45[/tex]

b-5 = -45 ( collect like terms)

b = -45 + -5

b = -45 -5  b = -50

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