What is the sum of the interior angles of the polygon shown below?

Volume is a three-dimensional scalar quantity. The amount of water that the tub can hold is 4,981.75 litres.

A volume is a scalar number that expresses the amount of three-dimensional space enclosed by a closed surface.

Given the circumference of the tub is 25.12 feet, therefore, the radius of the circumference of the tub will be,

Circumference = 2πr

25.12 = 2×π×r

r = 3.9979ft ≈ 4ft

Now, the volume of the tub will be,

Volume = πr²h = π×(4²)×3.5 = 175.929 ft³

Since 1 ft³ is equal to 28.3168 litres, therefore, the amount of water that a tub can store is

Volume of water = 175 × 28.3168 = 4,981.75 litres

Hence, the amount of water that the tub can hold is 4,981.75 litres.

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Magnitude and direction of u + v + w is equals to 57.871 and 19°.

"Vectors are those quantity of which represents both direction as well magnitude."

According to the question,

As shown in diagram we have,

u + v + w

   = (wcos30°)[tex]\^{i}[/tex] + (wsin30°)[tex]\^{j}[/tex] +(vcos20°)[tex]\^{j}[/tex] - (vsin40°)[tex]\^{i}[/tex] -(ucos40°)[tex]\^{i}[/tex] -(usin40°)[tex]\^{j}[/tex]

  = ( wcos30° - vsin40° - ucos40°)[tex]\^{i}[/tex] + (wsin30°+ vcos20° - usin40°)[tex]\^{j}[/tex]

Substitute the value of ║w║ = 40 ,║v║=60,and ║u║= 90 we get,

u + v +w

= (  40cos30° - 60sin40° - 90cos40°)[tex]\^{i}[/tex] + (40sin30°+ 60cos20° - 90sin40°)[tex]\^{j}[/tex]

= (20√3 - 20.5212 - 68.9440)[tex]\^{i}[/tex] + ( 20 +56.3816 - 57.8509)[tex]\^{j}[/tex]

= ( -54.8242)[tex]\^{i}[/tex] + (18.5307)[tex]\^{j}[/tex]

Therefore,

Magnitude = √(-54.8242)² +(18.5307)²

                  =√3349.0798

                  = 57.8712

   tanθ = ( 0.3380)

⇒θ = tan⁻¹ (0.3380)

     = 18.67

    ≈ 19°

Hence, magnitude and direction of u + v + w is equals to 57.871 and 19°.

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Answer:

m<1 = 48 m<2=12.6 m<3= 48

Step-by-step explanation:

96 ÷ 2 =48

38÷3= 12.6

48

Step-by-step explanation:

[tex] - \frac{a}{3} = 18 \\ [/tex]

[tex] - a = 18 \times 3 = 54[/tex]

Now change the sign of both side of the equation...

[tex]a = - 54[/tex]

Answer:

Step-by-step explanation:

Discussion

This should be answered with the mean. The lower the mean, the lower the  score it took to get the mean. So B is the answer.

IT IS B OK LETS GO YES

Answer:

if it is a 6 sided cube, then 50

Step-by-step explanation:

300/6=50

The large fishbowl hold 5.6 gallons of water. The volume of the large. fishbowl is denoted by y in the given problem.

The term “volume” refers to the amount of three-dimensional space taken up by an item or a closed surface. It is denoted by V and its SI unit is in cubic cm.

The volume of the small fishbowl is x

The volume of the large fishbowl is y

From the problem, the large fishbowl holds up to [tex]\rm 2\frac{1}{3}[/tex] times as much water as the small fishbowl.

[tex]\rm y = 2\frac{1}{3} x\\\\\ x= 2\frac{2}{5} =2.4\\\\ y= 2.333\times 2.4 \\\\\ y=5.6 \ gallon[/tex]

Hence, the large fishbowl hold 5.6 gallons of water.

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Answer:

For the child 8  in.,

for the image(B) 9 1/4in

Step-by-step explanation:

Answer:

B. 9 1/4

Step-by-step explanation:

Covert 1/2 into 4ths.

3 2/4 + 5 3/4= 7 5/4 = 9 1/4

Hope this helps

Answer:

4-4

Step-by-step explanation:

Substitute the actual values of the points into the distance formula.

[tex]f(x) = x^2 +x (2a+2b) +4ab-x\\\\f'(x) = 2x+x \cdot 0 + 2a+2b + 0 -1\\\\~~~~~~~~=2x+0+2a+2b-1\\\\~~~~~~~~=2x+2a+2b-1[/tex]

From the definition of the derivative,

[tex]f'(x) = \displaystyle \lim_{h\to0} \frac{f(x+h) - f(x)}h[/tex]

We have

[tex]f(x) = x^2 + x(2a+2b) + 4ab - x = x^2 + (2a+2b-1)x + 4ab[/tex]

and so

[tex]\displaystyle f'(x) = \lim_{h\to0} \frac{\left((x+h)^2 + (2a+2b-1)(x+h) + 4ab\right) - \left(x^2 + (2a+2b-1)x + 4ab\right)}h[/tex]

[tex]\displaystyle f'(x) = \lim_{h\to0} \frac{x^2 + 2xh + h^2 + (2a+2b-1)x + (2a+2b-1)h + 4ab - x^2 - (2a+2b-1)x - 4ab}h[/tex]

[tex]\displaystyle f'(x) = \lim_{h\to0} \frac{2xh + h^2 + (2a+2b-1)h}h[/tex]

[tex]\displaystyle f'(x) = \lim_{h\to0} (2x + h + 2a+2b-1)[/tex]

[tex]\displaystyle f'(x) = \boxed{2x + 2a + 2b - 1}[/tex]

Answer:

0.015

Step-by-step explanation:

We want to know that probability that we draw a green marble for the first AND the second AND the third draws. The act of drawing each marble changes the probabilities of the next draw, so we say that these events (drawing green marbles) are dependent. Mathematically, this means we'll be multiplying the probabilities of each event to get the probability of the whole thing. I'll denote the first, second and third green marble drawing events as A, B, and C.

For our first drawing, we have 5 possible green marbles to pick from out of 4 + 8 + 5 = 17 total marbles, so P(A), the probability of drawing a green marble, is 5/17.

Now, A, B, and C all represent the event of drawing a green marble, but the way they depend on one another is important here. If we want B to be our second draw, it'll depend on what happens in our first draw, A. We call this kind of probability conditional, and we write it as P(B | A), the conditional probability of event B after event A's occurred.

Here, event A is "drawing a green marble." What happens during event A? Well, we draw a green marble, so we have one fewer green marble, and one fewer marble altogether. Our chance of drawing a green marble after event A, P(B | A), is 4/16 or 1/4 then, since we now have 4 green marbles and 16 total marbles.

Using that same reasoning, P(C | B), the probability of event C (drawing a green marble) after event B has occurred, is 3/15, or 1/5, since we'll have 3 green marbles out of 15 total after drawing our second during event B.

Multiplying these all together, we have

Answer:

I think it would be 2,8

Step-by-step explanation:

hope it helps u

Answer:

4.1 units

Step-by-step explanation:

A( -2,3)

B( 2,5)

C( 8.6)

Answer:

Your answer is 11CM

Step-by-step explanation:

The height of cylinder b is 11 cm.

The volume of the cylinder is related to the capacity of this geometric figure. Remember that the cylinder or circular cylinder is an elongated and rounded geometric solid.

The formula for the volume of a cylinder is given by:

[tex]V = \pi.r^2.h[/tex]

Where:

In this case, as the cylinders are congruent, both will have the same radius, thus:

[tex]V = \pi.r^2.h\\176\pi=\pi(4)^2(h)\\h=11[/tex]

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Answer:

y = -3x

Step-by-step explanation:

Equation of the line going through the origin: y = mx

Substitute any point in the above equation.

Here, Chosen point( 1 ,-3)

-3 = m*1

m = -3

Equation of the line: y = -3x

The final expression 2|x+3| shows a vertical compression by 2 units and a horizontal translation to the left by 3units

Transformation is a means of changing the size and shape of an object in a xy-plane.

For the given function, its parent function is f(x) = |x|

The expression f(x) = 2|x| shows that the function is vertically stretched by 2 units.

The final expression 2|x+3| shows a vertical compression by 2 units and a horizontal translation to the left by 3units

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Answer:

y300

Step-by-step explanation:

line graph start at y300

Answer:

15.7cm

Step-by-step explanation:

the circumference of x=L1=2π =15cm

L2=2π =20cm

L2-L1

=20π-15π

=5π

=5×3.14

=15.70cm

Answer:

The monthly payment will be $54.75

Step-by-step explanation:

Hope this helps!

Answer:

x >/= 8.6

Add 9.5 to 42.1 then divide by 6

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

[tex]( {2 x})^{ \frac{1}{3} } - 7 = \sqrt[3]{2x} - 7[/tex]

Therefore the percentage difference in profit realized will be 66.67 % .

Profit, is net income earned after subtracting all dollar costs from total revenue.

In effect, it shows the amount of money a firm has left over after deducting the explicit costs of running the business.

Suppose all the charges for making the shoes is x (other than the labour charge)

Labor charge in Asia is y

And as given in the question Labor Charge in United States is 5y

The final cost off the shoes is $65

Profit in asia = (65-x-y)

Profit in United States = (65-x-5y)

Let's use trial and error method to understand this

suppose the making cost is x = $10  and the labor charge in asia is $5 per shoes so

Profit in Asia = 65-10-5 = $50

Profit in United Stated = 65- 10-25 = $30

the percentage difference in profit realized

= (50-30) * 100 /30

= 2000/30 = 200/3 = 66.67%

Therefore the percentage difference in profit realized will be 66.67 % .

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Answer:

9π cm

Step-by-step explanation:

Given diameter of circle (d) = 6cm

radius (r) = d/2 = 6/2 = 3cm

Area of circle = πr²

= π × 3²

= π × 9

= 9π

The area of the circle in pi units when the diameter of this circle is 6 centimeters is 9π centimeters.

The area of the circle is the space occupied by it. It is the product of pi and square of its diameter divided by 4. The area of the circle can be given as,

[tex]A=\pi\dfrac{d^2}{4}[/tex]

Here (d) is the diameter of the circle. The diameter of the circle is 6 cm.

[tex]d=6[/tex]

Put this value in the above formula to find the area of the circle as,

[tex]A=\pi\dfrac{6^2}{4}\\A=\pi\dfrac{36}{4}\\A=\pi\times9\\A=9\pi\rm\; cm[/tex]

Thus, the area of the circle in pi units when the diameter of this circle is 6 centimeters is 9π centimeters.

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Answer:

A-B = {2,8,10]

this is the correct answer

i hope my answer was helpful to you

Answer:

The answer is option A

Step-by-step explanation:

The solution is in the image

Answer:

7 1/4

Step-by-step explanation:

7+16/4*(1/2)*4

7+16/4*(1/16)

7+4*1/16

7+1/4=7 1/4

I think this is correct

Answer:

4π/2

Step-by-step explanation:

Any one full pattern in the graph is called a cycle, and the length of an interval over which a cycle occurs is called the period.

so the distance between the top of the first 2 waves is 4π/2 so thats the peroid

First note the intersections of each pair of lines.

x = 3   ⇒   y = 2•3 + 1 = 7   ⇒   (3, 7)

y = -3   ⇒   -3 = 2x + 1   ⇒   x = -2   ⇒   (-2, -3)

y = -3 and x = 3   ⇒   (3, -3)

Using the disk method, we consider disks with thickness ∆y and radius equal to the horizontal distance between the line y = 2x + 1 (or x = (y - 1)/2) and the axis of revolution, x = 3. Each disk will then contribute a volume of

∆V = π (radius)² (thickness) = π/4 (y - 1)² ∆y

As we let ∆y go to zero and let the number of disks go to infinity, the total volume of the resulting cone will be given by the integral

[tex]\displaystyle \frac\pi4 \int_{-3}^7 (y-1)^2 \, dy[/tex]

Answer:

x = 14

Step-by-step explanation:

The different types of angle relationships:

Based off of these three angle relationships we can identify the two angles as supplementary angles as the two angles shown form a line therefore we know the sum of those two angles is 180 degrees. Knowing this we can create an equation.

Creating an equation:

We know that the two angles are supplementary angles and we also know that supplementary angles add up to 180 degrees. So the sum of the two expressions represented by the two given angles must equal 180.

In other words 9x - 14 + 5x - 2 = 180

Solving for x

Know that we have created an equation we can solve for x algebraically.

9x - 14 + 5x - 2 = 180

==> combine like terms

14x - 16 = 180

==> add 16 to both sides

14x = 196

==> divide both sides by 14

x = 14

And we are done!

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[tex]\qquad\qquad\huge\underline{{\sf Answer}}[/tex]

[tex] \textbf{Let's solve for x } [/tex]~

[tex] \textsf{As we can see, the sum of measures of the} [/tex][tex] \textsf{ marked two Angles is equal to 180° } [/tex]

[tex] \texttt{[ by linear pair property ]} [/tex]

[tex]\qquad \sf  \dashrightarrow \:9x - 14 + 5x - 2 = 180[/tex]

[tex]\qquad \sf  \dashrightarrow \:9x + 5x - 14 - 2 = 180[/tex]

[tex]\qquad \sf  \dashrightarrow \:14x - 16 = 180[/tex]

[tex]\qquad \sf  \dashrightarrow \:14x = 180 + 16[/tex]

[tex]\qquad \sf  \dashrightarrow \:14x = 196[/tex]

[tex]\qquad \sf  \dashrightarrow \:x = 196 \div 14[/tex]

[tex]\qquad \sf  \dashrightarrow \:x = 14[/tex]

[tex] \texttt{Therefore, the value of x is 14} [/tex]

I Hope you understood the whole procedure ~