the outside of the silo shown below needs to be painted.the silo is 80 feet tall and has 20 foot diameter.of one gallon of paint covers 100 square feet how many gallons of paint will be needed you can ignore the doors and windows

Answers

Answer 1

Answer:

[tex]\approx[/tex] 57 gallons

Step-by-step explanation:

Given:

Silo needs to be painted.

Height of silo = 80 feet

Diameter of silo = 20 feet

One gallon of paint covers 100 sq ft

To find:

Gallons of Paint required to paint the outside of silo = ?

Solution:

We need to first calculate the lateral surface area(LSA) of this cylinder shaped silo.

[tex]LSA = 2\pi rh[/tex]

where r is the radius and

h is the height of cylinder.

[tex]r = \dfrac{Diameter}2\\\Rightarrow r = 10\ ft[/tex]

Putting the values in formula:

[tex]LSA = 2\times 3.14\times 10\times 80\\\Rightarrow LSA = 5024\ sq \ ft[/tex]

Total surface area of cylinder = LSA + 2 [tex]\times[/tex] Area of base

Total surface area of cylinder = LSA + 2 [tex]\times[/tex] [tex]\pi r^{2}[/tex]

TSA = [tex]5024 +2 \times 3.14 \times 10^2 = 5024 +628=5652\ sq \ ft[/tex]

100 sq ft requires number of gallons = 1

5652 sq ft requires number of gallons:

[tex]\dfrac{1}{100} \times 5652 \approx 57\ gallons[/tex]


Related Questions

Which of the following functions is graphed below?
8
84
4.
24
-8
2
4
8
8
12
-2
4
-6+
-87

Answers

Answer:

Step-by-step explanation:-

-

-8239910.76

WILL GIVE BRAINLIEST THANKS AND 5 STARS... PLZ HELP

Answers

Answer:

507x223 is greater than 530 x 200

914x385 is less than 900 x 400

If f = (1,2) , (3,4) , (5,6) and g = (2,3) , (4,6) , (6,8) . Find the composite of gof. does fog exist?

Answers

Answer:

[tex]g\circ f=\{(1,3),(3,6),(5,8)\}[/tex].

[tex]f\circ g[/tex] does not exist.  

Step-by-step explanation:

It is given that,

[tex]f=\{(1,2),(3,4),(5,6)\}[/tex]

[tex]g=\{(2,3),(4,6),(6,8)\}[/tex]

We need to find the composition gof.

[tex](g\circ f)(x)=g(f(x))[/tex]

Now,

[tex](g\circ f)(1)=g(f(1))=g(2)=3[/tex]

[tex](g\circ f)(3)=g(f(3))=g(4)=6[/tex]

[tex](g\circ f)(5)=g(f(5))=g(6)=8[/tex]

So, [tex]g\circ f=\{(1,3),(3,6),(5,8)\}[/tex].

We need to check whether [tex]f\circ g[/tex] exist of not.

If range of g(x) is subset of domain of f(x), then we can say composition function [tex]f\circ g[/tex] exists.  

Now,

Range of g(x) = {3,6,8}

Domain of f(x) = {1,3,5}

Since range of g(x) is not a subset of domain of f(x), then we can say composition function [tex]f\circ g[/tex] does not exist.  

If (ax+b)(bx+a)=26x^2+ Box(x) +26, where a, b, and Box are distinct integers, what is the minimum possible value of Box, the coefficient of x?

Question in latex: If $(ax+b)(bx+a)=26x^2+\Box\cdot x+26$, where $a$, $b$, and $\Box$ are distinct integers, what is the minimum possible value of $\Box$, the coefficient of $x$?

Answers

Answer:

16.59

Step-by-step explanation:

Given:

[tex](ax+b)(bx+a)=26x^2+\Box\cdot x+26[/tex]

Expanding the left hand side, we have:

[tex](ax+b)(bx+a)=abx^2+a^2x+b^2x+ab\\=abx^2+(a^2+b^2)x+ab\\=26x^2+\Box\cdot x+26\\ab=26 \implies b=\frac{26}{a}[/tex]

Therefore:

[tex]a^2+b^2=a^2+\dfrac{26}{a} =\dfrac{a^3+26}{a}[/tex]

To find the minimum value, we take the derivative and solve for its critical point.

[tex]\frac{d}{da} (\frac{a^3+26}{a})=\frac{2a^3-26}{a^2}\\$Setting the derivative equal to zero, we have:\\2a^3-26=0\\2a^3=26\\a^3=13\\a=\sqrt[3]{13}[/tex]

Recall that:

[tex]\Box=a^2+b^2=\dfrac{(\sqrt[3]{13}) ^3+26}{\sqrt[3]{13}}\\=\dfrac{13+26}{\sqrt[3]{13}}\\\\\Box=16.59[/tex]

The minimum possible value of the coefficient of x is 16.59.

Answer:

173

Step-by-step explanation:

For sympliciy let the box equal y.

Expanding the left side we get (a*x+b)(b*x+a) = (a*b*(x)^2 + (a^2 + b^2)x + a*b). Hence we have that  (a*b*(x)^2 + (a^2 + b^2)x + a*b) = 26*(x)^2 + x*y + 26. Scince the coefficients of like terms in our equation must be equal, ab=26. Hence (a,b) = (1,26),(26,1),(-1,-26),(-26,-1),(2,13),(13,2),(-2,-13),(-13,-2). Since a^2 + b^2 = y we can see that the only 2 values of y are 677 and 173 (by simply plug in the values of (a,b)), taking the smaller of the two our answer is [173].

Classify the polynomial by its degree and the number of terms
Question: 4ab+9a
PLEASE HELP!!!

Answers

Answer:

The polynomial "4ab+9a" is a quadratic binomial

Step-by-step explanation:

It is quadratic because the degree of the term is 2. it is a binomial because it has 2 terms

The area between z = 0.41 and z = 1.93 is

Answers

Answer:

Step-by-step explanation:

0.026803

In circle C. r = 32 units.
What is the area of circle C?
A
32īt units?
c
641 units?
256TI units
1024Tt units?

Answers

Answer:

1024 pi

Step-by-step explanation:

r = 32 units.

Area = pi * r^2

Area = 3.14 * 32^2

Area = 1024 * pi

Tt = pi??

Adding to "undo" subtraction and subtracting to "undo" addition are both examples of using inverse operations to solve equations. Think of another pair of inverse operations in mathematics. How do these inverse operations "undo" each other?

Answers

Answer:

see below

Step-by-step explanation:

Multiplication and division are also inverse operations

15 * 10 = 150

150 ÷10 = 15

Divide 150 by 10 and we get 15 back

The division undoes the multiplication

This also works in reverse

150 ÷ 10 = 15

15*10 =150

The multiplication undoes the division

If f(x)=5x, what is f^-1(x)

Answers

Answer:

f^-1(x) = _x__

               5

Step-by-step explanation:

Answer:

[tex] {f}^{ - 1} (x) = \frac{x}{5} [/tex]

Step-by-step explanation:

f(x) = 5x

To find f^-1(x) equate f(x) to y

That's f(x) = y

y = 5x

Interchange the variables

x = 5y

Make y the subject by dividing both sides by 5

y = x/5

The final answer is

f^-1(x) = x/5

Hope this helps you.

What is the ratio of the Volume of the smaller pyramid to the larger pyramid

Answers

Bb nbbvv Dj hhhggvv hbvhdsyhvvvbbjkk

which shape is a parallelogram?

Answers

Answer:

A,C,and D are parralelograms

The parallelogram are shapes with figures having opposite sides which are parallel

What is a Parallelogram?

A parallelogram is a simple quadrilateral with two pairs of parallel sides. The opposite or facing sides of a parallelogram are of equal length and the opposite angles of a parallelogram are of equal measure

The sum of angles of a parallelogram is 360°

The four types are parallelograms, squares, rectangles, and rhombuses

Properties of Parallelogram

Opposite sides are parallel

Opposite sides are congruent

Opposite angles are congruent.

Same-Side interior angles (consecutive angles) are supplementary

Each diagonal of a parallelogram separates it into two congruent triangles

The diagonals of a parallelogram bisect each other

Given data ,

Let the parallelogram be represented as ABCD

Now , from the figure 1

a)

The figure is having opposite sides are parallel

where AB = CD

And , BC = AD

So , it is a parallelogram

b)

The figure does not have any sides parallel

So , it is not a parallelogram

c)

The shape is having 2 sides as parallel

And , AB = CD

So , it is a parallelogram

d)

The shape is having 2 sides as parallel

And , AB = CD

So , it is a parallelogram

Hence , the parallelogram is solved

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Please help me if you can thanks

Answers

Step-by-step explanation:

a, 3

b,

draw lines through the corresponding corners of each shape  These lines will cross at the centre of enlargement O

Find an equation that fits this graph:

Answers

y=-2/3x + 4 would be an equation that would fit

Answer:

y = -2/3x + 4

Step-by-step explanation:

Use formula for slope given two points.

m = (y2 - y1)/(x2 - x1)

The two points are (0, 4) and (6, 0)

m = (0 - 4)/(6 - 0)

m = -4/6

m = -2/3

y = -2/3x + b

The y-intercept b is 4.

Help please ASAP :) please give answers to both questions

Answers

Answer:

2 cm

10 cm

Step-by-step explanation:

14/7 = 2

This helps to find because area of rectangle = bh or base times height.

A = 1/2 bh

30 = 1/2 b 6

30 = 3b

b = 10

Answer:

b = 2 cm

b = 10 cm

Step-by-step explanation:

Area of a Rectangle: A = lw

Area of a Triangle: A = 1/2bh

We are given area and length, so simply plug it in:

14 = 7w

w = 2 cm

We are given area and height, so simply plug it in:

30 = 1/2(6)(b)

30 = 3b

b = 10 cm

HELPPP DO NOT LOOK IT UP PLS

Answers

You’re correct, it’s 16. Constant proportionality mean how much Y moves. So it’s 16!

Chloe discovers that her rectangular shed is 6 feet longer than three times the width. If the perimeter of the shed is 100 feet, find the dimensions. (Recall: the perimeter of a rectangle is given by the formula P = 2 L + 2 W .)

Answers

Answer:

11 feet by 39 feet.

Step-by-step explanation:

In this case, the perimeter, P, is 100 ft.

If the length of the shed is 6 feet longer than three times the width, that means that the length, L, is equivalent to 6 plus 3 times the width, W.

So, we have an equation: P = 2 * L + 2 * W.

100 = 2 * (6 + 3W) + 2 * W

100 = 12 + 6W + 2W

100 = 12 + 8W

8W + 12 = 100

8W = 88

W = 11

And so, we know that the width is 11 feet.

To solve for the length...

L = 6 + 3W

L = 6 + 3 * 11

L = 6 + 33

L = 39

So, the length is 39 feet.

Now, you have the dimensions of the shed: 11 feet by 39 feet.

Hope this helps!

At which root does the graph of f(x) = (x + 4) 6(x + 7)5 cross the x-axis?
-7
4
4
07

Answers

Answer:

-7 and -4

Step-by-step explanation:

The graph of the function f(x) = (x + 4)⁶ (x + 7)⁵ cross the X axis at x = -4 and x = -7.

What is Function?

A function is a relation from a set A to a set B where the elements in set A only maps to one and only one image in set B. No elements in set A has more than one image in set B.

Given is a function,

f(x) = (x + 4)⁶ (x + 7)⁵

When the function cross the X axis, the value of the function will be 0.

Let f(x) = 0

(x + 4)⁶ (x + 7)⁵ = 0

This implies that, either x + 4 = 0 or x + 7 = 0

x + 4 = 0 ⇒ x = -4

x + 7 = 0 ⇒ x = -7

Hence the roots are -4 and -7 where the function crosses the X axis.

Learn more about Functions here :

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Please help me with this. Attention all smart people!!!

Answers

Answer: CPCTC

Step-by-step explanation:

because in the step before that it was proved that the triangles were congruent and CPCTC is used after they are proved congruent.

By CPCT [Corresponding Part of congruent Triangle]

<h=<j

hope i helped

-lvr

which of the following shows the polynomial below written in descending order?

Answers

Answer:

A

Step-by-step explanation:

Descending order is where the monomials of a polynomial are arranged in decreasing exponent order so the answer is A.

Answer:

the answer is option a because all the expression in option a is written descending power form.

Square all the integers from 1 to 10 inclusive. Then, round each number to the nearest hundred. Finally, sum the numbers. What do you get?

Answers

Answer:

22.467

Step-by-step explanation:

Hello,

You just have to do the computation in XL or using a calculator, and round each number to the nearest hundred

x sqrt(x)

1 1

2 1.414

3 1.732

4 2

5 2.236

6 2.449

7 2.646

8 2.828

9 3

10 3.162

and do the sum which is 22.467

Hope this helps.

Do not hesitate if you need further explanation.

Thank you

Answer:

300

Step-by-step explanation:

First let's square all the integers from 1 to 10 inclusive. We get:

1^2 = 1

2^2 = 4

3^2 = 9

4^2 = 16

5^2 = 25

6^2 = 36

7^2 = 49

8^2 = 64

9^2 = 81

10^2 = 100.

Rounding to the nearest hundred, we get that 1, 4, 9, 16, 36, and 49 all round to 0 and 64, 81, and 100 round to 100.

Therefore, we obtain 

0+0+0+0+0+0+0+100+100+100,

or 300.

Helppp!!!! please!!!

Answers

Answer: B. rectangular pyramid

Find the total surface area of this triangular prism...

Answers

Answer:

144 cm^2

Step-by-step explanation:

8x6+4x10+4x8+4x6

48+40+32+24

80+40+24

120+24

144

Point L is located at (4, -3) and M is located at (-8, 5). Find the y value of the point that lies halfway between L and M.

Answers

Answer:

y = 1

Step-by-step explanation:

Given endpoints (x₁, y₁ ) and (x₂, y₂ ) then the midpoint is

[ [tex]\frac{1}{2}[/tex] (x₁ + x₂ ), [tex]\frac{1}{2}[/tex] (y₁ + y₂ ) ]

Here (x₁, y₁ ) = (4, - 3) and (x₂, y₂ ) = (- 8, 5), thus the y value of midpoint is

y = [tex]\frac{1}{2}[/tex] (- 3 + 5) = 0.5 × 2 = 1

Matt invested $1500 into a stock of his choice. After two years, he had received
$400 in dividends. He sold the stock and received a total of $1600. What is Matt's
rate of return on investment?

Answers

For this question, the time given confuses me.  I know the rate of return is just total return divided by divided by investment, Assuming that Matt received the $400 in dividends as cash payouts, and they weren't reinvested into buying shares of the stock, then his total return over two years was $500, Now, if Matt's dividends were reinvested into the stock - and if you have a 401(k) or IRA, that's what usually happens - then his ROI would have been only 6% because he only made a profit of $100 on an investment of $1500. Note:  In the real world, in current market conditions, Matt probably would have got about a 5% return on a good stock, and Bella would have received about 0.05% on a savings account.

hope this helped you ;)

Matt probably would have got about a 5% return on a good stock.

How to find the rate of return?

The rate of return is just the total return divided by investment.

Consider that Matt received the $400 in dividends as cash payouts, and they weren't reinvested into buying shares of the stock, then his total return over two years was $500.

Now, if Matt's dividends were reinvested into the stock then his ROI would have been only 6% because he only made a profit of $100 on an investment of $1500.

In the real, current market conditions, Matt probably would have got about a 5% return on a good stock, and Bella would have received about 0.05% on a savings account.

Learn more about investment;

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Ms. Stone decided to purchase 2 reusable bottles instead. When she got to the counter, she realized she had $10.15, only ⅝ of the money she needed for the purchase. How much does 1 bottle cost?

Answers

Answer:

One reusable bottle cost $8.12

Step-by-step explanation:

Let

x=total cost of the two reusable bottles

Ms stone has 5/8 if the total cost of the two reusable bottles

5/8 of x=$10.15

5/8*x=10.15

x=10.15÷5/8

=10.15×8/5

=81.2/5

=16.24

x=$16.24

The total cost of of the two reusable bottles=$16.24

If total cost of two reusable bottles=$16.24

Cost of one reusable bottle=$16.24/2

=$8.12

One reusable bottle cost $8.12

O aquário de Noé é um paralelepípedo retangular com dimensões 50 cm x 25 cm x 40 cm. Ele quer encher o aquário com água da torneira, mas a localização da torneira obriga-o a inclinar o aquário de um ângulo de 45°. A água flui a borda do aquário.Calcule a altura máxima da água no aquário e marque a opção correta abaixo. A) 28,5 B) 27,5 C) 26,5 D) 25,5 E) 24,5

Answers

Answer:

si

Step-by-step explanation:

• How can you tell that a point on the graph is a maximum, a minimum, or neither?

Answers

Answer:

If it is on the maximum, then the y-value of the point cannot be any higher and  still be on the graph of the function. If it is on the minimum, the the y-value of the point cannot be any lower and still be on the graph of the function. If it isn't either the maximum or the minimum, it is neither.

Determine which postulate or theorem can be used to prove that ABC =
DCB.


Pls answer fast

Answers

Answer:

B

Step-by-step explanation:

The postulate that can be used to link both triangles is AAS which means Angle Angle side

From the diagram, we can see that we have 2 equal angles and one side in between the two triangles

This means whatever proof we are bringing out is dependent on the two equal angles and the common side between the two triangles

The numbers $1,$ $2,$ $\dots,$ $10$ are to be entered into the 10 boxes shown below, so that each number is used exactly once: \[P = (\square + \square + \square + \square + \square)(\square + \square + \square + \square + \square).\]What is the maximum value of $P$? What is the minimum value of $P$?

Answers

Answer:

Maximum =  756

Minimum =  600

Step-by-step explanation:

A square is a shape that has the large areas of a defined perimeter out of available rectangles. It implies they want the two parentheses to be as similar in value. as a result, to establish the maximum value of P.

And to establish the minimum value, to have the greatest difference for them. 1 + 2 + 3 ... +10=55, which wasn't even but which can be split as similarly as possible into 27 and 28 which have a product of 756. In this question it can be done in a variety of ways, one of which is:

(1 + 3 + 5 + 8 + 10) ×  (2 + 4 + 6 + 7 + 9) = 756

At the very least, the biggest difference can be created if one term is made of the smallest numbers, while the other full of the highest, or:

(1 + 2 + 3 + 4 + 5) × (6 + 7 + 8 + 9 + 10)=600

what is the next term for this sequence: 5,7,3,9,1,11,?

Answers

-1 I think is the answer

Answer:

-1

Step-by-step explanation:

each time it moves by the next even number. (Difference between 5 and 7 is 2, difference between 7 and 3 is 4, difference between 3 and 9 is 6, etc.)

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