Does this appear to be a regular polygon? Explain.

Answer:[tex]\sqrt{61}[/tex]

Step-by-step explanation:

Using the Pythagorean theorem,

[tex]\sqrt{5^{2} +6^{2} } =\sqrt{25+36}=\sqrt{61}[/tex]

The distance between A and B = [tex]\sqrt{61}[/tex]

Answer:

The completed table is given below and the equation for the given situation is 15=4a+0.50s.

Given that, it costs $0.50 to download an individual song and $4 to download an album.

What is an equation?

In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.

Jada has $15 to spend downloading music.

Let s be number of songs and a be number of albums

So an equation for the given situation is 15=4a+0.50s

From table, in row 1

Given number of songs is 6

15=4a+0.50(6)

⇒ 15=4a+3

⇒ 4a=12

⇒ a=3

From table, in row 2

Given number of albums is 1

15=4(1)+0.50s

⇒ 0.50s=11

⇒ s=11/0.50

⇒ s=22

From table, in row 3

Given number of albums is 30

15=4a+0.50(30)

⇒ 15-15=4a

⇒ a=0

Hence, the completed table is given below and the equation for the given situation is 15=4a+0.50s.

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Step-by-step explanation:

We can compute the integral of the velocity function's absolute value. In other words, the area under the velocity function's curve's absolute value equals the distance a particle travels.

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Answer:

210

Step-by-step explanation:

Let number be x, 63 is 30% of x would be:

[tex] \displaystyle{63 = \dfrac{30}{100}x}[/tex]

**30% = 30/100**

Solve the equation for x, multiply both sides by 100 to get rid of the denominator:

[tex] \displaystyle{63 \times 100= \dfrac{30}{100}x \times 100} \\ \\ \displaystyle{6300 = 30x}[/tex]

Divide both sides by 30:

[tex]\displaystyle{ \dfrac{6300 }{30}= \dfrac{30x}{30}} \\ \\ \displaystyle{ 210= x}[/tex]

Therefore, that number is 210. Hence, 63 is 30% of 210

Answer:

27540

Step-by-step explanation:

yes

To fill up the water tower, the liters of water needed, based on the volume of the water tower, is 982, 000 liters

To find the amount of water it would take to fill up the water tower, you need to convert the water tower volume from cubic meters to liters.

As per the conversion table, the cubic meters can be converted as such:

1 cubic meter = 1, 000 liters.

This means that a volume of 982 m ³ will be:

= 982 x 1, 000

= 982, 000 liters

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The volume of the given cylinder is 8358.68 m³.

Volume is the measure of the capacity that an object holds.

Formula to find the volume of the object is Volume = Area of a base × Height.

Given that, radius of a cylinder is 11 m and height of a cylinder is 22 m.

We know that, the volume of a cylinder is πr²h.

Now, volume =3.14×11²×22

= 3.14×121×22

= 8358.68 m³

Therefore, the volume of the given cylinder is 8358.68 m³.

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"Your question is incomplete, probably the complete question/missing part is:"

r=11 m and h=22 m what is the volume of a cylinder?

Answer:

Right

Step-by-step explanation:

because the biggest angle of the triangle is equal 90

Answer:

C. Right angled triangle

Answer:

0.5

Step-by-step explanation:

Density Formula

P = m/V

Density = mass / volume

Gram is a mass (80)

Volume is 160

P = 80/160

80/60 = 0.5

Answer:

120

Step-by-step explanation:

Answer:

The numbers are 6 and 7.

Step-by-step explanation:

4² = 16

5² = 25

6² = 36

7² = 49

√36 = 6

√42 = ?

√49 = 7

The numbers are 6 and 7.

Answer:

84,480 pennies!

Step-by-step explanation:

The static thrust of the rocket is 129800 N and the static thrust in the turbojet will be 20000 N.

Given,

mass flow rate, m = 40 kg/s

Exhausts  velocity, Ve = 3000 m/s

Pressure, Pe = 0.15 MPa

Ambient pressure, Pa = 0.101 MPa

Area, Ae = 0.2 m²

We know that, the expression for static thrust for the rocket

T = mVe + (Pe - Pa)Ae

= 40 x 3000 + (0.15 - 0.01) x 0.2 x 10⁶

T = 129800 N

Now applying mass conservation to the engine

ma + mf = me

Now, thrust force

T = (ma + mf)Ue + (Pe + Pa)Ae

T = meUe + (Pe + Pa)Ae

and me = 40 kg/sec

Ue = 500 m/s

Pe = Pa

T = meUe = 40 x 500

T = 20000 N

Therefore, the static thrust of the rocket is 129800 N and the static thrust in the turbojet will be 20000 N.

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The complete question is:

Calculate the static thrust of the rocket and turbojet engines. The thrust T is the force necessary to prevent the horizontal movement of the engine. Both engines exhaust a mass flow of 40 kg/s. The ratio of air and fuel mass flowing into the turbojet is 50:1, and in its exhaust plane the velocity is 500 m/s and the pressure is the same as the ambient pressure. The rocket propellant exhausts at a velocity of 3000 m/s through an area of 0.2 m2. The pressure in the exhaust plane of the rocket is 0.15 MPa and the ambient pressure is 0.101 MPa.

Answer: x ∈ {-0.0107639, 10.3225694}

Answer:

[tex]x= 8\sqrt{2}[/tex]

Step-by-step explanation:

This is a 45, 45, 90-degree triangle.

You can tell because whenever there is a 90 degree angle (right angle) and a 45-degree angle, the last angle must be 45, too, making it 45, 45, 90.

In such a triangle, the hypotenuse is equal to some number (x) times the square root of 2.

To get 16, you must eliminate that radical 2, so you have to multiply by a square root. We know that the square root of 2 times the square root of 2 is 2, so then now we only need to get a constant to multiply it by 16.

This constant would be 8.

We know this because sqrt(2) times 8(sqrt 2) gives us 2 times 8, or 16.

Now that we know what x is, we have the solution.

The legs of a 45,45,90 degree triangle are equal to the number we need to multiply the square root of 2 by to get 16, 8(sqrt 2)

That is our answer: 8(sqrt 2)

The intervals in the function increase will be (1, 2). Then the correct option is A.

A function is an assertion, concept, or principle that establishes an association between two variables. Functions may be found throughout mathematics and are essential for the development of significant links.

The function is shown on the graph. Then we have

In the interval (−∞, 0), the function is decreasing function.

In the interval (0, 1), the function is decreasing function.

And in the interval (1, 2), the function is increasing function.

Similarly in the interval (2, ∞), the function is decreasing function.

The intervals in the function increase will be (1, 2). Then the correct option is A.

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The function f(x, y) = sqrt(4 - 4x^2 - y^2) is defined over a disk of radius 2 centered at the origin in the xy-plane. The z-value of the function is always non-negative and reaches its maximum value of 2 at the origin (0,0).

This can be confirmed by noting that the partial derivatives of the function at the origin are both negative, indicating that it is a maximum. The traces of the function in the xy, yz, and xz planes are circles with radius 2 centered at the origin, with the range of the function being limited to the upper semi-circle in each of these planes.

When these traces are combined with the domain of the function, we get the graph of a paraboloid of revolution that opens downward, with a saddle point at the origin (0,0) and a maximum value of 2.

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A = P * (1 - r)^(t/n)

Where:

A = the final value of the account

P = the initial value of the account ($56,700)

r = the annual interest rate (6.3%)

t = the number of years

n = the number of compounding periods per year (4)

So, the equation would be:

A = 56,700 * (1 - 0.063)^(t/4)

A = 56,700 * (1 - 0.063)^(14/4)

A = $24,988.18

So, the account will be worth $24,988.18 after 14 years, if the rate of loss stays 6.3% compounded quarterly.

Answer:

Step-by-step explanation:

so you have 1/2 times 3 = 1.5

Tthe probability that the difference in the diameters of the two ball bearings is less than 0.06 mm is 0.0478

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

Mean = 11.5

Standard deviation = 0.05

Let the diameters be X and Y

So, we have

P(|X - Y| < 0.06)

Using this information, we have

P(|X - Y| < 0.06) = P( -0.06 < X - Y < 0.06)

= P(X - Y < 0.06) - P(X - Y < -0.06)

= 0.0478

Hence, the probability is 0.0478

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The perimeter of given rectangle is [tex]$8 \frac{1}{6}$[/tex] feet.

We are given the following information in the question:

Width of rectangle=

[tex]$1 \frac{3}{4}$[/tex] feet

Length of rectangle =

[tex]$2 \frac{1}{3}$[/tex]feet

Formula:

Perimeter of rectangle =

[tex]2 \times($ Length $+$ Width)[/tex]

Putting the values:

[tex]& 2 \times\left(1 \frac{3}{4}+2 \frac{1}{3}\right) \\[/tex]

[tex]& =2 \times\left(\frac{7}{4}+\frac{7}{3}\right) \\[/tex]

[tex]& =2 \times\left(\frac{21+28}{12}\right)[/tex]

[tex]& =2 \times \frac{49}{12} \\[/tex]

[tex]& =\frac{49}{6} \\[/tex]

[tex]& =8 \frac{1}{6}[/tex]

Hence, the perimeter of given rectangle is [tex]$8 \frac{1}{6}$[/tex] feet.

The complete question is,

A rectangle has side lengths of 1 3/4 feet and 2 1/3 feet. Find the perimeter of the rectangle. Write your answer as a mixed number in simplest form.

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The perimeter of given rectangle is  feet.

What is Perimeter of rectangle?

A perimeter is a closed path that encloses, surrounds, or delimits a one-dimensional length, a two-dimensional shape, or both. The circumference of a circle or an ellipse is its perimeter.

There are numerous practical uses for calculating the perimeter. The circumference of a shape is known as its perimeter. The lengths of all four sides must be added in order to get a rectangle's or square's perimeter.

We are given the following information in the question:

Width of rectangle=

feet

Length of rectangle =

feet

Formula:

Perimeter of rectangle =

Putting the values:

Hence, the perimeter of given rectangle is  feet.

The complete question is,

A rectangle has side lengths of 1 3/4 feet and 2 1/3 feet. Find the perimeter of the rectangle. Write your answer as a mixed number in simplest form.

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Coordinates is computed that:

a = 0

b = -0.8

c = 0

d = 0

e = 0

Calculating the missing coordinate in such a way that the three vectors for R3 are orthogonal:

[tex]\left[\begin{array}{ccc}0.6&a&b\\0.8&c&0.6\\1&-1&e\end{array}\right][/tex]

Any two vectors' dot product is zero and their norm is one on an orthogonal basis.

⇒ (-0.6, a, b)  (0.8, b, c, -0.6)

⇒ -0.48 + ac - 0.6b = 0  →  (1)

Similarly,

(0.8, c, -0.6) (d, -1, e)

⇒ 0.8d - c - 0.6c = 0  →  (2)

Similarly,

(-0,6, a, b) (d, -1, e)

⇒ -0.6d - a + be = 0  →  (3)

First Norm:

(0.6)² + a² + b² = 1

⇒ 0.36 + a² + b² = 1

⇒ a² + b² = 0.64  →  (4)

Second Norm:

(0.8)² + c² + (-0.6)² = 1

⇒ 0.64 + c² + 0.36 = 1

⇒ c² + 1 = 1

⇒ c = 0

Now from equation (1), we can compute that:

(-0.48 + a) * (0 - 0.6b) = 0

⇒ -0.48 - 0.6b = 0

⇒ - (0.48 + 0.6b) = 0

⇒ 0.6b = -0.48

⇒ b = -0.48 / 0.6 = -0.8

∴ b = -0.8

From equation (4) we can compute that:

a² + b² = 0.64

⇒ a² + (-0.8)² = 0.64

⇒ a² = 0

∴ a = 0

Third Norm:

d² + 1 + e² = 1

d² + e² = 0  →  (5)

From equation (3) we can infer that:

-0.6d - 0 + (-0.8e) = 0

⇒ -0.6d = 0.8e

⇒ d = -0.8e / 0.6

∴ e = -0.75d

Now we'll put this value in equation (5):

d² + (-0.75d)² = 0

⇒ d² + 0.5625d² = 0

⇒ d² (1 + 0.5625) = 0

⇒ d = 0

∴ e = 0

Therefore,

[tex]\left[\begin{array}{ccc}-0.6&0&-0.8\\0.8&0&-0.6\\0&-1&0\end{array}\right][/tex]

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Answer:

Step-by-step explanation:

Mp, Lp, and NQ are indeed the central lines of a large briangle MNL, according the problem. Particles entersect at point P.This is referred to as a baryc enter of a friangle.And has the quality Np= 2PQ, therefore we can obtain it.   When you are aware, the point p is indeed the barycenter of a large triangle, and this is an important trait. 

The drawbacks of early forms of money include their propensity to be easily divided and to crumble.

The unit technique is a method of problem-solving where you first calculate the value of a specific unit, then expand that value to get the answer. Simply expressed, a minimum unit value is extracted from a specified multiple using the unit method.  The method used to accomplish this might be standardized. a solitary nation. anything has a distinguishing component. (Mathematics, Algebra) Its adjoint and reciprocal are equivalent. (Linear Algebra, Logical Analysis, Mathematics of Matrix or Operators)

given

then you multiply and cross.

so,18x6= 4x

4x/4=108/4

x=27

The drawbacks of early forms of money include their propensity to be easily divided and to crumble.

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Answer:

Dz = (14 - 1) 30

Step-by-step explanation:

We know

Dz represents distance travel

She starts with 14 gallons of gas

1 gallon of gas = 30 miles

So, our equation will be Dz = (14 - 1) 30

Given that it is a second-order polynomial equation, the algebraic fundamental theorem ensures that it has at least one solution.

A quadratic equation is a second-order polynomial equation in one variable that goes like this: x ax2 + bx + c=0, where a 0.Given that it is a second-order polynomial equation, the algebraic fundamental theorem ensures that it has at least one solution.Real or complicated solutions are both possible.

Option A , x = 7/5 and x= -1

Formula: Let ax² + bx + c = 0 be the quadratic equation,

x = [-b±√(b²-4ac)]/2a

The given quadratic equation be

5x² -2x = 7

⇒ 5x² -2x - 7 = 0  

a = 5, b = -2 and c = -7

Therefore x = [-b±√(b²-4ac)]/2a

x=[-(-2) ±

√((-2)²-4*5*(-7))]/2*5

x =[2 ± √144)]/10

x =[2 ± 12)]/10

x = (2+12)/10 and x = (2-12)/10

x = 14/10 = 7/5 and x= -12/10 = -1

Therefore,the correct answer is Option A , x = 7/5 and x= -1.

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Answer:

The correct answer is 8 miles

Step-by-step explanation:

. If Yasmin runs at a pace of 7 miles per hour ... to run will always reduce down to the same fraction on a straight line

Given that tan alpha = -24/10 and pi < alpha < 2pi, we can use the trigonometric identities to find the value of sin alpha.

To what does sin equate?

In contrast to the cosine of an angle, which corresponds to the ratio of the nearby side to the hypotenuse, the sine of an angle is the ratio of the opposite side to the hypotenuse.

Since tan alpha = -24/10, we know that sin alpha / cos alpha = -24/10

We can find the value of cos alpha by using the fact that pi < alpha < 2pi, so 0 < alpha - pi < pi.

Therefore, cos alpha = cos (alpha - pi) = -cos (alpha - pi)

We can substitute this into the equation above:

sin alpha / (-cos (alpha - pi)) = -24/10

We can then solve for sin alpha:

sin alpha = (-24/10) * (-cos (alpha - pi))

We can simplify the expression, but we cannot determine the exact value of sin alpha without knowing the value of alpha.

Note that tangent is negative in the second and third quadrant, so the angle is in the third quadrant.

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