Find the approximate volume of the figure. Round to the nearest tenth if
necessary. Use 3.14

Answer:

Step-by-step explanation:

Option C is the correct answer

Answer:

Step-by-step explanation:

Answer:

Volume of smallest container = 3141.6 cm³

Volume of middle sized container = 6283.2 cm³

Volume of largest container = 9424.8 cm³

Step-by-step explanation:

The formula to find the volume of a cylinder = πr²h

The height of each cylinder in a set of food-storage containers is 30 cm.

The radius of the largest container is 10 cm.

Step 1

We can find the volume of the largest cylinder

= r = 10cm

h = 30cm

Volume of largest cylinder = π × 10² × 30

= 9424.8 cm³

Step 2

We find the volume of the smallest container

We are told in the question:

The volume of the smallest container is one-third the volume of the largest container.

Hence

Volume of Smallest container = 1/3 (9424.8 cm³)

= 3141.6 cm³

Step 3

The volume of the middle-sized container is two-thirds the volume of the largest container.

Hence,

Volume of the middle sized container =

2/3 (9424.8 cm³)

= 6283.2 cm³

Therefore, the volume of each container is

Volume of smallest container = 3141.6 cm³

Volume of middle sized container = 6283.2 cm³

Volume of largest container = 9424.8 cm³

Answer:

c

Step-by-step explanation:

Which ordered pair would form a proportional relationship with the point graphed below?

HOPE IT WILL HELP YOU

Answer:

C is the correct answer

From the graph we can see that at the given interval [-6,0] the graph decreases from left to right.

Initially the y-values is a little over 3 and then it decreases to about 0.5 at the end of the interval.

Thus, the graph of the function over the interval [-6,0] is decreasing.

Answer:

y = 5/2x - 11

Step-by-step explanation:

y = 5/2x + b

9 = 5/2 (8) + b

9 = 20 + b

-11 = b

y = 5/2x - 11

Answer:

we have :

(a+b+c)² = a² + b² + c² + 2(ab+bc+ca)

a+b+c= 9

and

ab+bc+ca = 26

Substituting the values in the above formula,

We get,

9² = a² + b² + c² + 2×26

81 = (a² +b² +c²) + 52

(a² +b²+c²) = 81-52

(a²+ b² + c²) = 29 is a required answer.

Answer:

46

Step-by-step explanation

11 x 22 and 9 x 18 then add them then do 450 - 404

The sales team must sell 8 more computers than they sold last month to receive the bonus.

Last month the sales team of Electronic Mania sold 27 computers.

If they sold 30% more computer than they sold last month, they would get a bonus.

First we find the 30 percent if 27

27 × 30/100

= 8.1

Let m be the total number of computers sold.

So, the total number of computers sold would be,

m = 27 + 8.1

m = 35.1

m ≈ 35

Therefore, they need to sell 35 computers in total.

Learn more about percentage here:

https://brainly.com/question/16797504

#SPJ4

The two companies will be equal in cost when 21.428 miles are driven.

How do you calculate the cost of rent?

The weekly rental amount is divided by 7 to determine the daily rental rate, then multiplied by 365 (days per year) to determine the yearly rate, and finally divided by 12 to determine the monthly rental amount. For example, a property is advertised as $200 per week, ($200 divided by 7) is $28.57 for the daily rate.

We can set up an equation to represent the cost of renting a car from each company in terms of the number of miles driven, and then solve for the number of miles at which the cost is the same for both companies.

Let x be the number of miles driven.

The cost of renting from Sunshine Rental Company is given by:

Cost1 = 17 + 0.5x

The cost of renting from Rent Me company is given by:

Cost2 = 20 + 0.36x

We can set the two equations equal to each other, and solve for x:

17 + 0.5x = 20 + 0.36x

0.14x = 3

x = 21.428 miles

Hence, the two companies will be equal in cost when 21.428 miles are driven.

To learn more about the cost of rent visit,

https://brainly.com/question/27902123

#SPJ4

Answer:

the answer would be 19 because these are congruent shapes

Hope this helps:)

Step-by-step explanation:

So the only boundary point of [0,∞) and (0,∞) is 0 itself. It is in [0,∞), so that set is closed. It is not in (0,∞), so that set is open.

In mathematics, a (real) interval is a set of real numbers that contains all real numbers lying between any two numbers of the set. For example, the set of numbers x satisfying 0 ≤ x ≤ 1 is an interval which contains 0, 1, and all numbers in between. Other examples of intervals are the set of numbers such that 0 < x < 1, the set of all real numbers

the set of nonnegative real numbers, the set of positive real numbers, the empty set, and any singleton (set of one element).

Real intervals play an important role in the theory of integration, because they are the simplest sets whose "length" (or "measure" or "size") is easy to define. The concept of measure can then be extended to more complicated sets of real numbers, leading to the Borel measure and eventually to the Lebesgue measure.

Intervals are central to interval arithmetic, a general numerical computing technique that automatically provides guaranteed enclosures for arbitrary formulas, even in the presence of uncertainties, mathematical approximations, and arithmetic roundoff.

So the only boundary point of [0,∞) and (0,∞) is 0 itself. It is in [0,∞), so that set is closed. It is not in (0,∞), so that set is open.

To learn more about intervals:

https://brainly.com/question/13708942

#SPJ4

Answer:

9) C: x=4, y=2rt3

10) A: XY/YZ

11) A: XY/XZ

Step-by-step explanation:

9 - that is a 30, 60, 90 triangle so the ratios will be a, root3a, 2a

10 - tan = opposite / adjacent

11 - cos = adjacent/hypotenuse

Answer:

9. (c)

10. (a)

11. (a)

................

Step-by-step explanation:

Use photo math in the AppStore

Answer: y=1/4x-6

Step-by-step explanation:

The slope formula is y=mx+b

M- represents the rise over run.

B- represents where the line crosses over the y-axis.

So once you input the numbers you get 1/4 for m and -6 for b.

Answer:     [tex]\frac{3}{8}[/tex]➗[tex]\frac{3}{4}[/tex]

Step-by-step explanation:  Are you looking to work out and calculate how to multiply 3/8 by 3/4? In this really simple guide, we'll teach you exactly what 3/8 times 3/4 is and walk you through the step-by-process of how to multiply two fractions together.

Answer:

6

Step-by-step explanation:

5 × 24= 120 and 24 - 4 = 20 and 120 ÷ 20 = 6

I hope this helps!!

Answer:

The answers is called the x-axis and the vertical number line is called the y-axis

Step-by-step explanation:

Hope this helps

Answer:

x-axis

Step-by-step explanation:

Answer:

ye

Step-by-step explanation:

Answer: Yes

Step-by-step explanation:

A perfect square is a number from a number system that can be shown as the square of the number in the given number system. 4 can be written as 2 x 2 Making 4 a perfect square. In other words, if a number can be multiplied by its self and equal the number you are trying to square, then it is a perfect square.

Answer:

Step-by-step explanation:

9 - 3 = 6

6/10 = 3/5

Answer:

6/10 and/or 3/5(this is the answer simplified

Step-by-step explanation:

Subtract: 9/10 - 3/10

= 9 - 3/10

= 6/10

= 2 · 3/ 2 · 5

= 3/5

It is suitable to adjust both fractions to a common (equal, identical) denominator for adding, subtracting, and comparing fractions. The common denominator you can calculate as the least common multiple of both denominators - LCM(10, 10) = 10. It is enough to find the common denominator (not necessarily the lowest) by multiplying the denominators: 10 × 10 = 100. In the following intermediate step, cancel by a common factor of 2 gives 3/5. In other words - nine tenths minus three tenths is three fifths.

Answer:

13.67

Step-by-step explanation:

The angle of elevation of the ramp is 28.6 degrees.

Tan = (Change in Height) / (Length of Ramp)

Therefore, using the given information, the angle of elevation of the 23-foot ramp is:

Tan = (6 feet) / (23 feet)

Tan = 0.26

= 14.5° (to the nearest tenth of a degree)

Therefore, the angle of elevation of the 23-foot ramp is 14.5°.

To learn more about the angle of inclination refer to:

https://brainly.com/question/4598225

#SPJ4

The coefficient of the expression 3x² is the number 3 and constant term is 20

What are the coefficients?

The coefficients are the numbers on the left side or before each variable.

What is an algebraic expression?

Is a set of numbers and letters that make up an expression that has a meaning, the letters are variables and the numbers are coefficients or independent terms, algebraic expressions can be part of an equation and model mathematical processes.

If the expression of a single term is:. 3x²

Then the only coefficient will be the number that is placed before it and it is:

Number 3

Learn more about algebraic expression in:

brainly.com/question/21856579

#SPJ4

Solved equation is, x = 4/3 + 2y/3

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

here we have,

Write equation

6x - 4y = 8

Then,

Solve for x

Add 4y to both sides: 6x = 8 + 4y

Divide both sides by 6: x = 8/6 + 4y/6

Simplify: x = 4/3 + 2y/3

To learn more on equation click:

brainly.com/question/24169758

#SPJ1

The coeficient of y² in the expression is the number 3

What is an algebraic expression?

An algebraic expression is a set of numbers and letters that make up an expression that has a meaning, the letters are variables and the numbers are coefficients or independent terms, algebraic expressions can be part of an equation and model mathematical processes.

In the given expression we have the following:

3y² + 4x

As we are asked for the coefficient of the variable "y" then we must take the number that is just before the letter which in this case is the number 3.

3 is the coefficient of y²

Learn more about  expression in:

brainly.com/question/21856579

#SPJ4

Answer:

3d^2

Step-by-step explanation:

First, find the GCF of 6 and 27, which is 3.

Factors of 6: 1, 2, 3, 6

Factors of 27: 1, 3, 9, 27

Then, find the greatest value of the variable d^3 and d^2, which is d^2. Since this is a variable, we just need to take out the highest degree accompanying the variable.

27(d^2)

6d(d^2)

Combine both of your findings to get 3d^2.

[tex]~\hspace{7em}\textit{rational exponents} \\\\ a^{\frac{ n}{ m}} \implies \sqrt[ m]{a^ n} ~\hspace{10em} a^{-\frac{ n}{ m}} \implies \cfrac{1}{a^{\frac{ n}{ m}}} \implies \cfrac{1}{\sqrt[ m]{a^ n}} \\\\[-0.35em] ~\dotfill\\\\ (-243)^{\frac{1}{5}}\implies \sqrt[5]{(-243)^1}\implies \sqrt[5]{(-3)(-3)(-3)(-3)(-3)} \\\\\\ \sqrt[5]{(-3)^5}\implies -3[/tex]

Answer:

A. 45.7

Step-by-step explanation:

Side a = 8

Side b = 7.8

Side c = 11.17318

Angle ∠A = 45.725° = 45°43'31" = 0.79806 rad

Angle ∠B = 44.275° = 44°16'29" = 0.77274 rad

Angle ∠C = 90° = 1.5708 rad = π/2

=======================================================

Explanation:

Apply the tangent ratio and inverse tangent function (aka arctangent) to get the following

tan(angle) = opposite/adjacent

tan(x) = 8/7.8

x = arctan(8/7.8)

x = 45.7252242990592

x = 45.7

Be sure that your calculator is in degree mode.