find RY if RV=8 and VW=12

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:

[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)

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

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 zero of the function g(x) is x = -4

A function is a relationship between inputs where each input is related to exactly one output. A function is generally denoted by f(x) where x is the input.

It should be noted that based on the information, we want to find the value of x. This will be illustrated thus:

To find the zeros of a function g(x), we solve the equation g(x) = 0 for x. That is:

g(x) = (x + 4) / (x - 6)

0 = (x + 4) / (x - 6)

0(x - 6) = (x + 4)

0 = (x + 4)

x + 4 = 0

x = -4

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The diameter of the circular fountain is 13.6 feet, while its circumference is 21.352 feet to the nearest hundredth.

The diameter is the line drawn that divides the circle into two while the circumference is the perimeter of the circle. Both are a measure of the radius of a circle.

Diameter, D = 2r

where r is the radius of the circle

Circumference = 2πr = πD

where π = 3.14

Given that the circular fountain has a radius of 6.8 feet

Diameter =  2 × 6.8 feet = 13.6 feet

Circumference = 3.14 × 13.6 feet

Circumference = 21.352 feet (to the nearest hundredth)

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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:

120

Step-by-step explanation:

The equation for the variable G after changing the subject of the formula is; G = (T/MF) - (4/F)

The subject of a formula is defined as the variable that is being worked out. It can be recognized to be the letter that is on its own on one side of the equal sign. For example, in the formula for the area of a rectangle given as;

A = b * h

area = base × height , the subject of the formula is A.

We are given the formula;

T = M(4 + FG)

Divide both sides by M to get;

T/M = 4 + FG

Subtract 4 from both sides to get;

(T/M) - 4 = FG

Divide both sides by F to get;

G = (T/MF) - (4/F)

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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:

Answer:

D.

Step-by-step explanation:

y - 12 means that 12 is being subtracted from y.

Subtracting 12 from y means decreasing y by 12.

Answer: D.

On solving the provided question, we can say that angles MOP + NOP = MON; x = 140/4 = 35 and MOP = NOP = 2(35) +1 = 71

An angle is a form in Euclidean geometry made composed of two rays, called the angle's sides, that meet at a point in the middle known as the angle's vertex. In the plane where the rays are placed, two rays can produce an angle. An angle is also produced when two planes intersect. They're known as dihedral angles. In plane geometry, an angle is the form that two rays or lines with a common termination might take. The Latin word "angulus," which means "horn," is where the English word "angle" comes from. The two rays, also known as the sides of the angle, have a common termination known as the vertex.

here, angles

MON = 142°, m MOP= 2x+1, and  NOP = 2x+1

so, MOP + NOP = MON

2x+1 + 2x + 1 = 142

4x = 140

x = 140/4 = 35

MOP = NOP = 2(35) +1 = 71

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Answer:

27540

Step-by-step explanation:

yes

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

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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Answer: x ∈ {-0.0107639, 10.3225694}

Answer:

Right

Step-by-step explanation:

because the biggest angle of the triangle is equal 90

Answer:

C. Right angled triangle

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 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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Answer:

Step-by-step explanation:

so you have 1/2 times 3 = 1.5

Answer:

A is correct answer I guess but if you hhj have been able to worked something out put me on

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:

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

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:

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

We are aware that a Kites two opposite angles are equal. We are aware that a quadrilateral's total number of angles equals 360 degrees. As a result, x and y have values of 80° and 110°.

The space a kite encloses is known as the area of the kite. A quadrilateral with two sets of neighbouring sides that are equal is referred to as a kite. A kite is made up of four angles, four sides, and two diagonals.

The product of the lengths of a kite's diagonals divides its area in half. A kite's area is calculated using the formula Area = 12 (d)1 (d)2.

Important Notes

By subtraction of known angle measurements from 180 degrees, one can determine the value of X in triangles. If you know at least two angles, you can subtract them from 180 to discover the third angle that is lacking since the sum of all the angles in a triangle must equal 180 degrees.

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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.

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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