The cylindrical storage shed shown below is completely filled with road salt to make a town's roads safer during snow storms. About 21,000 cubic feet of road salt is used during a typical snow storm.

a. What is the total volume of the storage shed?
b. How many snow storms can the town expect to handle before the storage shed needs to be refilled with additional road salt?

the base timed by the height

Answer:

30,34,38,42,46,50,54,58,62,66,70

Answer:

Step-by-step explanation:

Check the picture below.

so let's start with 34, well a centroid is the point where all "medians" meet, well a median is half of the segment, the heck does that mean?  well, it means that CG = GD, and since CD is 34, that means that GD = 17.

let's keep in mind that a centroid cuts all medians in a 2 : 1 ratio, meaning one cut-side is twice as along as the other, that said

[tex]\stackrel{\textit{keeping in mind that BG=57}}{\cfrac{BH}{HG}=\cfrac{2}{1}\implies \cfrac{BH}{HG}=\cfrac{2\cdot \frac{57}{2+1}}{1\cdot \frac{57}{2+1}}}\hspace{10em} \cfrac{BH=38}{HG=19} \\\\\\ \cfrac{HD}{EH}=\cfrac{2}{1}\implies \cfrac{HD}{15}=\cfrac{2}{1}\implies HD=30\hspace{5em}\stackrel{15~~ + ~~30}{ED=45} \\\\\\ \stackrel{\textit{keeping in mind that CF=39}}{\cfrac{CH}{HF}=\cfrac{2}{1}\implies \cfrac{CH}{HF}=\cfrac{2\cdot \frac{39}{2+1}}{1\cdot \frac{39}{2+1}}}\hspace{10em}\cfrac{CH=26}{HF=13}[/tex]

Answer: 8

Step-by-step explanation:

Arrange the data in ascending order, and the median is the middle value. If the number of values is an even number, the median will be the average of the two middle numbers.

Rearrange 9, 9, 2, 8, 11, 6, 4 in ascending order:

2, 4, 6, 8, 9, 9, 11

The number eight appears to be in the very middle, therefore it is the median.

Answer:

The cost of a manicure set in Nina's store is $12.30.

Step-by-step explanation:

To find the cost of the manicure set in Nina's store, you can use the following formula:

Selling price = Cost + Cost * Markup percentage

Substituting the given values into this formula, you get:

Selling price = $8.36 + $8.36 * 47%

To find the value of the markup percentage, you can convert 47% to a decimal by dividing it by 100: 47/100 = 0.47

Then you can use this value in the formula to find the selling price:

Selling price = $8.36 + $8.36 * 0.47

Answer:

Step-by-step explanation:

To find the x-coordinate of the centroid of triangle ABC, we need to take the average of the x-coordinates of the three vertices of the triangle. The x-coordinates of the vertices of triangle ABC are -3, 2, and 4, so the average of these three numbers is (-3 + 2 + 4) / 3 = (3) / 3 = 1.

Therefore, the x-coordinate of the centroid of triangle ABC is 1. The correct answer is (-,1). The given answer (-,5/3) is not the correct x-coordinate of the centroid.

Answer:

Trapezoid

Step-by-step explanation:

The math

On solving the provided question we can say that - the inequality equation which will be formed is 290x [tex]\geq[/tex] -23 + y

A connection between two expressions or values that is not equal in mathematics is referred to as an inequality. Inequality results from an imbalance, thus. In mathematics, an inequality establishes the relationship between two values that are not equal. Egality is not the same as inequality. Use the not equal symbol () in most cases when two values are not equal. To contrast values, whether they are tiny or huge, different inequalities are employed. By adjusting both sides until just the variables are left, you may eliminate many straightforward inequalities. However, several factors cause inequality: Divide or add negative values on both sides. Switch the left and right.

here,

we have 290x

so the inequality equation which will be formed is

-y + 290x [tex]\geq[/tex] -23

290x [tex]\geq[/tex] -23 + y

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Answer: x is -2 and y is 4 if needed (-2,4) is the origin form

Step-by-step explanation: first we take side walk one we subtract -3x on both sides then you get 3y=-3x+6 divide both by 3 you get y=-x+2 finally we can substitute. substitute y for x+6 you get x+6 = -x+2 do the inverse of -x on both sides you get 2x+6=2 do the inverse of 6 on both sides you get 2x=-4 divide 2 on both sides you get x=-2. substitute x of  y=-x+2 to y=-(-2)+2 mult  -1 x -2 is 2, 2+2 is four so y= 4 put that together x is -2 and y is 4

Answer:

A. Adjacent  

B. Complementary

C. Complementary

Step-by-step explanation:

The z-score for the 0.75 proportion is -1.95.

The Z-score calculates the deviation of the measure from the mean in standard deviations. We seek for the p-value linked with this Z-score after locating the Z-score in the z-score database.

The likelihood that the value of the measure will be less than X, or the percentile of X, is represented by this p-value. The likelihood that the value of the measure is greater than X is obtained by deducting 1 from the p-value.

In a set with mean X and standard deviation μ, the z score of a measure X is given by:

Z=(X-μ)/σ

In this problem, we have that:

n=100,p=0.82

So,μ=E(X)=np=100×0.82=82

Therefore, √V(X)=√np×(1-p)=√100×0.82×0.18=3.841

For Finding the probability that less than 75 in the sample keypads pass inspection.

Using continuity correction, this is (P(75-0.5)<=P(74.5)), which is the p-value of Z when X = 74.5.

=>z= (74.5-82)/3.841

=>z= - 7.5/3.841

=>z= - 1.95 has a p-value to 0.

Hence, if a random sample of 100 keypads is analyzed and 75 pass inspection, then the z-score for 0.75 proportion is -1.95

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The solution for the given system of equations:

x = 6 and y = 6.

Kana is incorrect about the solutions of the given equations.

Algebraic expressions and equations follow the same set of rules as numerical expressions and equations. The order of operations is preserved, and the laws governing addition and multiplication still apply.

Associative: a + ( b + c ) = ( a + b ) + c , a ( b c ) = ( a b ) c

Identity: a + 0 = a , a ⋅ 1 = a

Inverse: a + ( − a ) = 0 , a ⋅ 1 a = 1

Distributive: a ( b + c ) = a b + a c

Given equations,

4x-2y=12        -----(a)

2x+2y=24            -----(b)

Multiplying -2 to the equation (b) like kana solution

-2 (2x+2y=24 )

By Distributive property

-2(2x+2y) = -2(24)

- 4x - 4y = - 48     ---------(c)

Now adding equation (a) and equation(c)

    4x - 2y = 12

  - 4x - 4y = - 48

__+___+____+__

         - 6y  =  -36

⇒ y = 36/6 = 6.

Putting value of y in equation (b).

2(x) + 2(6) = 24

2x + 12 = 24

2x = 24 - 12

2x = 12

x =12/2 = 6

By the above calculation,

Value of x = 6 and

value of y = 6.

Hence, for the system of equations given

the solutions are:

x = 6 and y = 6

which proves that Kana is incorrect that there are no solutions.

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Step-by-step explanation:

1

We can see that RS divides ∆PQS into two equal parts

So,

PR = RQ

Therefore

RQ = 5.1

Now

PQ = PR + RQ

=> PQ = 5.1 + 5.1

=> PQ = 10.2

2

Here

KM is the angle bisector

So

JM = ML

JM = 46

Answer:

+ 8

Step-by-step explanation:

This is an arithmetic progression (AP) as there is a common difference between successive terms.

For example, looking at the first two terms,

Difference = 2nd term - 1st term

                  = -11 -(-19)

                  = -11 + 19

                  = +8

To check,

Looking at the second and third terms,

Difference = 3rd term - 2nd term

                  = -3 -(-11)

                  = -3 + 11

                  = +8

Hence, there is a common difference of +8 between consecutive terms, making it an AP.

It is true that If tan k times 90 = 0 then k is an even integer.

An integer, pronounced "IN-tuh-jer," is a whole number that can be positive, negative, or zero and is not a fraction. Integer examples include: -5, 1, 5, 8, 97, and 3,043. 1.43, 1 3/4, 3.14, and other numbers that are not integers are some examples. All positive counting numbers, zero, and all negative counting numbers that count from negative infinity to positive infinity are included in the category of integers.

Here,

Since they include negative numbers but otherwise follow the same rules, integers add to this collection of numbers. Due to the fact that all positive integers are whole numbers, not all integers will be whole numbers (because certain integers can be negative).

To Use the unit circle

tan(x) = 0 only when x is 0 or a multiple of 180 (in degrees)

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The least common multiple of 598 and 45 is 26, 910

To find the least common multiple of 598 and 45, you can use the prime factorization method. This involves finding the prime factors of both 598 and 45 and then multiplying these prime factors when they are in their highest power.

This gives:

598 prime factorization :

2 x 13 x 23 = 598

45 prime factorization :

3 x 3 x 5 = 45

The least common multiple is;

= 2 x 13 x 23 x 3 x 3 x 5

= 26, 910

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Answer:

48.

Step-by-step explanation:

8 < 16 < 48

48 > 16 > 8

Answer:

Step-by-step explanation:

Select largest number from 16,48,8

The combined mass of the compounds is 13/12 grams

From the question, we have the following parameters that can be used in our computation:

3/4 gram sodium chloride and 1/3 gram potassium chloride

The combined mass of the compounds is then calculated as

Combined mass = sodium chloride + potassium chloride

Substitute the known values in the above equation, so, we have the following representation

Combined mass = 3/4 + 1/3

Evaluate the sum

Combined mass = 13/12

Hence, the combines mass is 13/12 grams

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Answer:

40/20 & 22/11

Step-by-step explanation:

To find an equivalent fraction to 4/2, or to any other fraction, you just need to multiply (or divide, if the fraction is not yet reduced), both the numerator and the denominator of the given fraction by any non-zero natural number. For example:By dividing the original fraction by 2, we get:4 ÷ 2 / 2 ÷ 2 = 21. By multiplying the original fraction by 2, we get:4 × 2 / 2 × 2 = 8/4. Here is the full list of equivalent fractions to 4/2. 2/1, 4/2, 6/3, 8/4, 10/5, 12/6, 14/7, 16/8, 18/9, 20/10, 22/11, 24/12, 26/13, 28/14, 30/15, 32/16, 34/17, 36/18, 38/19, 40/20...

The ratio of cats to all animals is 5:14

the ratio of dogs to cats is 9:5

Given-

Cats = 5

Dogs = 9

Total animals = cats+ Dogs

     5+9=14

so  the ratio of cats to all animals  = 5: 14

and dogs to the cats= 9:5

Ratio give the relation between quantities of to identies.

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Answer:

Add a file to it.

Step-by-step explanation:

We can't see anything.

Cannot be determined.

Linear equations help in representing the relationship between variables such as x, y, and z, and are expressed in exponents of one degree. In these linear equations, we use algebra, starting from the basics such as the addition and subtraction of algebraic expressions.

Given here  5 pizzas and 2 bags of chips cost $55 and 10 pizzas and 4 bags of chips cost $95

let the cost of one pizza be p and a bag of chips be c then we construct the following linear equations:

5p+2c=55

10p+4c=95

Clearly the equations are colinear but 10p+4c≠110=1(5p+2c0

and thus two lines don't have a unique solution.

Hence, the cost cannot be determined as the two equations have no solution in common.

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a. The exponential function to represent the spread of Ben's social media post is f(x) = 2(3)^x

b. The exponential function to represent the spread of Carter's social media post is f(x) = 10(2)^x

c. On Day 3, Ben's post will have 2(3)^3 = 227 = 54 shares, Carter's post will have 10(2)^3 = 108 = 80 shares. On Day 10, Ben's post will have 2(3)^10 = 259049 = 118098 shares, Carter's post will have 10(2)^10 = 101024 = 10240 shares.

d. Adding 45 to the function representing Amber's photo shares changes the function to f(x) = 3(4)x + 45. The new function will shift the graph upward by 45 units.

e. Based on the functions, Ben's post travels the fastest because the base of the exponent, 3, is greater than the base of the exponent, 2, for Carter's post.

f. It depends on the goal of the post. If the goal is to reach a larger audience quickly, then having more friends initially but fewer shares like Carter is preferable. But if the goal is to reach a smaller audience but with a more engaged audience, then having fewer friends initially but more shares like Amber is preferable.

An exponential function is one in which the variable is an exponent. Mathematically, it is defined as f of R in R, such that f(x) = ax, where a ϵ R, a > 0 and a ≠ 1. The graph of this function is a curve obtained by finding some ordered pairs that belong to the function and drawing this curve that passes through them.

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Answer: true

Step-by-step explanation:

Answer:

y = - [tex]\frac{1}{2}[/tex] x + 6

Step-by-step explanation:

The slope will be perpendicular to equation through A and B because of the 90 degree angle at B.

Lines that are perpendicular have opposite reciprocal slopes.

The slope of the line we know is 2 (The slope is the number before the x). The opposite reciprocal is -[tex]\frac{1}{2}[/tex].

Now that we have the slope we need a point on the line. They give us that point at (0,6)  We will use the y value of 6 and the x value of 0 from the point given to find the y-intercept.

slope (m) = -  [tex]\frac{1}{2}[/tex]

y = 6

x = 0

We will substitute all of this information into y = mx + b to solve for b (y-intercept)

y = mx + b

6 = - [tex]\frac{1}{2}[/tex] (0) + b

6 = b

Now that we have the slope (- [tex]\frac{1}{2}[/tex]) and the y-intercept (6) we can write the equation

y = - [tex]\frac{1}{2}[/tex] x + 6

Answer:

y = - [tex]\frac{1}{2}[/tex] x + 6

Step-by-step explanation:

the equation of a line in slope- intercept form is

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

y = 2x + 1 ← is in slope- intercept form

with slope m = 2

BC is perpendicular to AB

given a line with slope m then the slope of a line perpendicular to it is

[tex]m_{BC}[/tex] = - [tex]\frac{1}{m}[/tex] = - [tex]\frac{1}{2}[/tex]

the line BC has point C at (0, 6 ) ⇒ c = 6

y = - [tex]\frac{1}{2}[/tex] x + 6 ← equation of line BC

The value of the Angle A is  74.3°.

The longest side is in opposition to the longest angle, and the shortest side is in opposition to the smallest angle, respectively.

The opposite of the longest side is the greatest angle, while the opposite of the shortest side is the smallest angle. According to the sides of a triangle rule, the lengths of any two sides of a triangle must add up to more than the length of the third side.

The comparable sides are proportionate and the angles are same. The sides that are opposite the same angle are the corresponding sides. For instance, if two triangles have a 90-degree angle on each side, Triangle A's opposing side will match Triangle B's opposite side.

AB/sin(c)=AC/sin(a)=BC/sin(b)

8/sin(a)=5/Sin37°

Angle= 74.3°.

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Answer:   The total answers count 37 - it's 100%, so we to get a 1% value, divide 37 by 100 to get 0.37. Next- calculate the percentage of 31: divide 31 by 1% value (0.37), and you get 83.78% - it's your percentage grade.

The monthly amortization on the automobile loan, given the loan amount, the period, and the compounding frequency, is ₱ 18, 901.68

The monthly amortization is constant so it will be an annuity. Seeing as we have the loan amount, this means that the present value of an annuity formula can be used to find the monthly amortization.

First, find the period in months:

= 5 x 12 months a year

= 60 months

The interest in months :

= 9 . 5 % / 12 months per year

= 9.5 / 12 %

The monthly amortization is:

= Loan amount / ( Present value interest factor of annuity, 60 periods, 9.5 / 12 %)

= 900, 000 / 47.614827336156

= ₱ 18, 901.68

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