Designing a Silo
As an employee of the architectural firm of Brown and Farmer, you have been asked to design a silo to stand adjacent to an existing barn on the campus of the local community college. You are charged with finding the dimensions of the least expensive silo that meets the following specifications.

The silo will be made in the form of a right circular cylinder surmounted by a hemi-spherical dome.
It will stand on a circular concrete base that has a radius 1 foot larger than that of the cylinder.
The dome is to be made of galvanized sheet metal, the cylinder of pest-resistant lumber.
The cylindrical portion of the silo must hold 1000π cubic feet of grain.
Estimates for material and construction costs are as indicated in the diagram below.

The design of a silo with the estimates for the material and the construction costs.

The ultimate proportions of the silo will be determined by your computations. In order to provide the needed capacity, a relatively short silo would need to be fairly wide. A taller silo, on the other hand, could be rather narrow and still hold the necessary amount of grain. Thus there is an inverse relationship between r, the radius, and h, the height of the cylinder.


The cylinder of the silo is to have a volume of V=1000π. Thus πr^2 h=1000π. Rework that equation to express h in terms of r.

h = __________

Answer:

72 / period  of time which is 2 = 36

36 / 3% = 36 / 0.03 = 1200

1200 is your answer

Now double check

1200 x 0.03 = 36

36 x 2 = 72

Hope this helps 1200 is your answer

Step-by-step explanation:

Answer: 6.71, and 6.7

Step-by-step explanation:

In order to write to two decimal places, we must first calculate the square root of 45.

The square root of 45 is 6.708

Therefore, when we round, we get 6.71

In order to write to two sig figs, we remember that sig figs are the number digits without zeros on the end.

Therefore, all we take is the 6.7

Answer:

a) 6.71

b) 6.7

Step-by-step explanation:

Perpendicular (p) = a

base (b) = 6

tan 45° = p/b

1 = a / 6

Cross multiply

a = 6

Hope it will help :)

Jim will have to pay $795 out-of-pocket if he has an accident that costs $3,000 in medical expenses. Option b is correct.

Let’s calculate the amount Jim has to pay out-of-pocket. Jim has an accident that costs $3,000 in medical expenses, so the total cost is $3000.Jim’s health insurance policy has the following provisions:

Deductible = $300

Co-pay = $50

Coinsurance = 70/30

Since the coinsurance provision is 70/30, this means that Jim's insurance will pay 70% of the remaining expenses after deductibles and co-pays and Jim will pay the remaining 30%.

Thus, Jim will pay 30% of the remaining expenses after deductibles and co-pays. Out of the total $3000 medical expenses, Jim has to pay the first $300 (deductible).

The remaining amount is $3000 – $300 = $2700.

He has a copay of $50, thus reducing the remaining amount to $2650.

So, Jim has to pay 30% of $2650 which is equal to:

$2650 × 0.3 = $795

Therefore, Jim has to pay out-of-pocket $795. The correct option is option B.

Learn more about expenses https://brainly.com/question/29850561

#SPJ11

Answer:

Two hours later his brother leaves from first and maple and comes after him on a moped travelling 27 mph, His uphill speed was 8 miles per hour slower than his downhill speed.

Step-by-step explanation:

\(\huge\fbox{Hello!}\)

A Quick Guide to Classifying Polynomials

\(\bigstar\) Look at the number of terms and the exponent.

1 term, exponent of 1 -1st degree monomial

Example: 4r

2 terms, exponent of 2 - 2nd degree binomial

Example: 4r²+9

3 terms, exponent of 3 - 3rd degree trinomial

Example: 4r³+9r²+1

4 terms, exponent of 4 - 4th degree polynomial

Example: 4r⁴+9r³+r²+8

8x is a 1st degree monomial.

Hope it helps.

Feel free to ask if you have any doubts.

\(\bf{-MistySparkles^**^*\)

Answer:

NO

1,2,3,6

Step-by-step explanation:

THOSE ARE CORRECT

√8=2.8

Answer:

c

Step-by-step explanation:

Answer:it is d because on the chart it is 5 and 2 and your round

Step-by-step explanation:7 times 5 28 equal 30 hope helped correct if wrong

Answer:

28.05

Step-by-step explanation:

According to the division property of equality, if both sides of an equation are divided by a common real integer that is not zero, the quotients remain equal.

Commutative property, associative property, distributive property, and identity property are the four number properties. Only the algebraic operations addition, subtraction, multiplication, and division are linked with number characteristics.

The four key terminology used in the division process are dividend, divisor, quotient and remainder. Dividend Divisor = Quotient + Remainder is the formula for dividing two numbers.

Commutative property, associative property, distributive property, and identity property are the four number properties. Only the algebraic operations addition, subtraction, multiplication, and division are linked with number characteristics.

For more questions on Division

https://brainly.com/question/28119824

#SPJ4

Answer:

Your other answers all look good - I think the word in the blank is producer, which means an organism that makes its own food. Green plants do so through photosynthesis.

Answer:

producer

Step-by-step explanation:

Because it makes sense

Answer:

This means that, when the price of book from publisher is $60, the bookstore will sell it $88 to the students.

Step-by-step explanation:

Solution:

The cost of book from publisher = 40%

Sales tax = 7.5%

Price of books to the student = p(x) = 1.075x + 0.40x

Where, x is cost of book.

P (60) =?

We know that,

P(x) = 1.075 + 0.40

       = 1.475%

        =148

Given, Cost of book, x = 60

P (60) = 148 – 60

       = 88

This means that, when the price of book from publisher is $60, the bookstore will sell it $88 to the students.

The area of the patch on which Derrick is growing vegetables is equal to 804.25 m².

Given to us

Derrick grows vegetables on a circular patch of land.

The radius of the patch is 16 meters.

We know that the area on which Derrick is growing vegetables is circular in shape, therefore, the area of which Derrick is growing vegetables is equal to the area of the circle,

Area of the patch of land = Area of circle = πR²

As the radius of the patch land is given,

Area of circle = π x 16² = 804.2477 m² ≈804.25 m²

Hence, the area of the patch on which Derrick is growing vegetables is equal to 804.25 m².

Learn more about Circle:

https://brainly.com/question/11833983

The length of the segment when J is between H and K will be HJ = 21 and JK = 12.

From the information given, J is between H and K and we want to use the segment addition Postulate to solve for x.

It should be noted that:

HJ=4x+9,

Jk=3x+3,

HK=33

Therefore, we will equate the values. This will be:

4x + 9 + 3x + 3 = 33

7x + 12 = 33

Collect like terms

7x = 33 - 12

7x = 21

Divide

x = 21 / 7

x = 3

HJ=4x+9, = 4(3) + 9 = 21

Jk=3x+3 = 3(3) + 3 = 12

Therefore, the length of the segment when J is between H and K will be HJ = 21 and JK = 12.

Learn more about length on:

brainly.com/question/2217700

#SPJ1

The null hypothesis is rejected on the basis of p- value and test statistic.

A hypothesis test is a formal statistical test we use to reject or fail to reject a statistical hypothesis.

The null hypothesis, denoted as H0, is the hypothesis that the sample data occurs purely from chance.The alternative hypothesis, denoted as HA, is the hypothesis that the sample data is influenced by some non-random cause.

Decide on a significance level. Common choices are .01, .05, and .1.

Use the sample data to calculate a test statistic and a corresponding p-value. If the p-value is less than the significance level, then you reject the null hypothesis. If the p-value is not less than the significance level, then you fail to reject the null hypothesis.

You can use the following clever line to remember this rule: “If the p is low, the null must go.”

To know more about null hypothesis:

https://brainly.com/question/28920252

#SPJ4

Ancbbbnm,..vbnm,.

Step-by-step explanation:

Answer:Thanks!

Step-by-step explanation:

Answer: thx

Step-by-step explanation:

The maximum value of the product is 2500 if the sum of two positive values, x and y, is 100.

The sum of two positive numbers x and y is 100.

x + y = 100

Subtracting y from each side of the equation.

x + y - y = 100 - y

x = 100 - y

The product of x and y is maximum.

Let P be the product.

Then,

P = xy

The product will be maximum when dP/dy = 0.

P = ( 100 - y )y

P = 100y - y²

Differentiating the equation.

dP/dy = 100 - 2y

100 - 2y = 0

Adding 2y on each side of the equation.

100 - 2y + 2y = 0 + 2y

2y = 100

Dividing each side of the equation by 2

y = 50

Then,

x + y = 100

x + 50 = 100

x = 50

Then, the product is:

P = xy = 50 × 50 = 2500

If the sum of two positive numbers x and y is 100, then the maximum value of the product is 2500.

Learn more about positive numbers here:

brainly.com/question/28169844

#SPJ4

Answer:

Step-by-step explanation:

As per Provided Information

AB & AC are tangent to the circle O.

we have been asked to determine the length of AC ( tangent) .

This question is quite easy if you know the following Theorem which states that

Tangent drawn from an external point to the circle are equal in length

Therefore

Therefore,

Option (D) 23 cm

Answer:

D) 23 cm

Step-by-step explanation:

it passes the quiz

Answer: 10 inches

Step-by-step explanation:

1. multiply 14 by 2 to get 28.

2. Subtract 28 from 48 to get 20

3. Divide 20 by 2 to get 10

your answer is 10

Answer: 10 inches

Step-by-step explanation:

a worksheet is usually a rectangle

the formula for the perimeter of a rectangle is 2x + 2y

Lets say that x = the length and y = the height

it already gives you x = 14, so plug everything in to find y

P = 2x + 2y

48 = 2(14) + 2y

48 = 28 + 2y            plug in x = 14 and multiply

20 = 2y                    subtract 28 from both sides to get this

y = 10                       then divide both sides by 2 to get the answer

Answer:

(-2,1)(-1,1)(0,1)(1,1) or y=2 x=[-2,1]

Step-by-step explanation:

Brainliest Please

Therefore, the answer is option C: theta = pi/2 and theta = 3pi/2.

To determine when tan(theta) is undefined on the unit circle, we need to remember the definition of the tangent function.
Tangent is defined as the ratio of the sine and cosine of an angle. Specifically, tan(theta) = sin(theta)/cos(theta).

Now, we know that cosine can never be equal to zero on the unit circle, since it represents the x-coordinate of a point on the circle and the circle never crosses the x-axis. Therefore, the only way for tan(theta) to be undefined is if the cosine of theta is equal to zero.
There are two values of theta on the unit circle where cosine is equal to zero: pi/2 and 3pi/2.

At theta = pi/2, we have cos(pi/2) = 0, which means that tan(pi/2) = sin(pi/2)/cos(pi/2) is undefined.
Similarly, at theta = 3pi/2, we have cos(3pi/2) = 0, which means that tan(3pi/2) = sin(3pi/2)/cos(3pi/2) is also undefined.
Therefore, the answer is option C: theta = pi/2 and theta = 3pi/2.

To know more about theta visit:-

https://brainly.com/question/21807202

#SPJ11

The number of bacteria after 3 months is 7500.

The equation is y = 60,000 x \(0.5^3\).

An equation is a mathematical statement that is made up of two expressions connected by an equal sign.

Example:

2x + 3 = 8 is an equation.

We have,

Number of bacteria initially = 60,000

After one month,

The number of bacteria = 30,000

This means,

60,000 - 30,000 = 30,000

The percentage decreased.

= 30,000 / 60,000 x 100

= 1/2 x 100

= 50%

Now,

The equation for the number of bacteria after x months.

y = 60,000 x \(0.5^x\)

For x = 3,

y = 60,000 x \(0.5^3\)

y = 60,000 x 0.125

y = 7500

Thus,

The number of bacteria after 3 months is 7500.

Learn more about equations here:

https://brainly.com/question/17194269

#SPJ1

Answer:

rectangle

6 faces

12 edges

8 vertices

10ft height

hope this helps

cos(4x + π/5) - sin(2x) = 0

Since cos(x + π/2) = -sin(x), we can write

cos(4x + π/5) = cos(4x + π/2 - 3π/10) = -sin(4x - 3π/10)

Then we can absorb the negative signs into either sin expression, using the fact that sin(-x) = -sin(x):

-sin(4x - 3π/10) - sin(2x) = 0

sin(3π/10 - 4x) + sin(-2x) = 0

Recall that

• sin(a + b) = sin(a) cos(b) + cos(a) sin(b)

• sin(a - b) = sin(a) cos(b) - cos(a) sin(b)

==>   • 2 sin(a) cos(b) = sin(a + b) + sin(a - b)

We can further condense the left side in our equation if there exists a solution to

{ 3π/10 - 4x = a + b

{ -2x = a - b

We have

(a + b) + (a - b) = (3π/10 - 4x) + (-2x)

==>   2a = 3π/10 - 6x

==>   a = 3π/20 - 3x

(a + b) - (a - b) = (3π/10 - 4x) - (-2x)

==>   2b = 3π/10 - 2x

==>   b = 3π/20 - x

So in our equation, we have

sin(3π/10 - 4x) + sin(-2x) = 0

2 sin(3π/20 - 3x) cos(3π/20 - x) = 0

sin(3π/20 - 3x) cos(3π/20 - x) = 0

Solve for x :

sin(3π/20 - 3x) = 0   or   cos(3π/20 - x) = 0

[3π/20 - 3x = arcsin(0) + nπ   or   3π/20 - 3x = π - arcsin(0) + nπ]

  or   [3π/20 - x = arccos(0) + nπ   or   3π/20 - x = -arccos(0) + nπ]

[3π/20 - 3x = nπ   or   3π/20 - 3x = π + nπ]

  or   [3π/20 - x = π/2 + nπ   or   3π/20 - x = -π/2 + nπ]

[3x = 3π/20 - nπ   or   3x = -17π/20 - nπ]

  or   [x = -7π/20 - nπ   or   x = 13π/20 - nπ]

[x = π/20 - nπ/3   or   x = -17π/60 - nπ/3]

  or   [x = -7π/20 - nπ   or   x = 13π/20 - nπ]

(where n is any integer)

Answer:

y = 2x + 2

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope (gradient) and c the y- intercept )

Here m = 2 , then

y = 2x + c ← is the partial equation

To find c substitute (1, 4) into the partial equation

4 = 2 + c ⇒ c = 4 - 2 = 2

y = 2x + 2 ← equation of line

Answer: y=2x+2

Step-by-step explanation:

The missing parts in the figure are

d. x = 42

e. x = 53

f. x = 119

To find x we use the principle that opposite angles of a parallelogram are equal

d.

(3x + 12) = 138

3x = 138 - 12

3x = 126

x = 42

e

2x + 21 = 127

2x = 127 - 21

2x = 106

x = 53

f.

This is a trapezoid, the principle used here is trapezoid contains two pairs of consecutive interior angles that are supplementary

61 + x = 180

x = 180 - 61

x = 119

Learn more about trapezoid at

https://brainly.com/question/1463152

#SPJ1