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?

Answer:

JM = 5 mm

Step-by-step explanation:

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

JM² = 3² + 4²

JM = 5 mm

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!

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.

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.

Answer:

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

Explanation:

first term, a₁ = 1

difference between the terms: -3

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

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 :)

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

Circle KJI center L, radius LK/diamter KI?

The right is answer the left is explanation

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

Answer:

y= 2/1 + 0

Step-by-step explanation:

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

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]

Step-by-step explanation:

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.

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

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

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!

Answer: A. 64

Step-by-step explanation:

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

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.

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:

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.  

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

Answer:

84.78cube.yd

Step-by-step explanation:

Volume of cylinder= πr^2h

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 ✓

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

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.

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):

Vertical shift:

Stretching:

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

[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 !

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

Answer: C. 45 minutes before 7:00

Hope this helps! :)

Brainliest please.

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

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