if the whole is 55 and the percent is 22% what is the part

The length of the arc defined by the central angle of 312 degrees is 26π cm.

The formula for the arc length of a circle is given by:

L = (θ/360) × 2πr

where L is the length of the arc, θ is the central angle in degrees, and r is the radius of the circle.

Substituting the given values, we get:

L = (312/360) × 2π(30)

L = (26/30) × π × 30

L = 26π cm

Therefore, the length of the arc defined by the central angle of 312 degrees is 26π cm.

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Answer:

Below

Step-by-step explanation:

Angle 4 + 60 + 61 = straight line = 180 °

angle 4 = 180 - 60 - 61 = 59°

Answer:

a. 125.0714; 11.1835.

b. 109.4375; 10.4612.

Step-by-step explanation:

Given the following data;

70, 65, 71, 78, 89, 68, 50, 75.

Mean = 70.75

The deviation for the mean of the data is -0.75, -5.75, 0.25,7.25,18.25,-2.75,-20.75, and 4.25.

We would then find the square of this deviation;

\(=(-0.75)^2+(-5.75)^2+( 0.25)^2+(7.25)^2 +(18.25)^2+(-2.75)^2+(-20.75)^2 +(4.25)^2\)

\(=0.5625+33.0625+0.0625+52.5625+333.0625+7.5625+430.5625+18.0625\)

= 875.5

Next is to find the population variance;

\(V = \frac{875.5}{8}\)

Variance, V = 109.4375

The population standard deviation is the square root of the population variance;

\(Sd = \sqrt{109.4375}\)

Standard deviation, Sd = 10.4612

To find the sample variance;

\(V = \frac{875.5}{8-1}\)

\(V = \frac{875.5}{7}\)

Variance, V = 125.0714

The sample variance is;

\(Sd = \sqrt{125.0714}\)

Standard deviation, Sd = 11.1835

Therefore,

a. The sample variance is 125.0714 and the sample standard deviation is 11.1835.

b. If this is a population data, the population variance is 109.4375 and the population standard deviation is 10.4612.

Answer:

C. 20.67

Step-by-step explanation:

I got it right on edge :)

The solution which one gets using the quadratic formula for; –4x² – 12x – 9 = 0 is; Choice A; -3/2.

The vertex of the graph is such that; Choice D; The vertex is on the x-axis.

Recall the formula method for solving a quadratic equation is such that;

x = ( -b ± √(b² - 4ac) ) / 2a

By observation; a = -4, b = -12 and c = -9;

Therefore, we have that;

x = {-(-12) ± √( (-12)² - (4 × -4 × -9))} / (2 × -4)

x = (12 ± √0) / -8

x = -3/2.

Ultimately, the value of x is; Choice A; -3 / 2.

Part B; Also, since the graph has one solution only, it can be inferred that the vertex of the graph of; f(x) = –4x2 – 12x – 9 is; Choice D; The vertex is on the x-axis.

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1) The set of equations that represent 3-dimensional incompressible flow cases: u = x² + 2y + z²; v = x − 2y + z; w = − 2xz + y² + 2z

2) The set of equations that represent three-dimensional steady flow cases:  u = 2y² +2xz; v = − 2xy + 6x²yz; w = 3x²z² + x³y⁴

and u = xyzt; v = − xyzt²; w = z²(xt² - yt)

We know that the continuity equation for an incompressible flow in rectangular coordinates:

\(\frac{ \partial u}{ \partial x}+\frac{ \partial v}{ \partial y} + \frac{ \partial w}{ \partial z}=0\)

consider a) u = 2y² +2xz; v = − 2xy + 6x²yz; w = 3x²z² + x³y⁴

\(\frac{ \partial u}{ \partial x}+\frac{ \partial v}{ \partial y} + \frac{ \partial w}{ \partial z}\\\\\)

= ( 0+2z)+(-2x+6x²z)+(6x²z+0)

= 2z-2x + 12x²z

≠ 0

This means, this set of equations represents the steady flow.

(b) u = xyzt; v = − xyzt²; w = z²(xt² - yt)

\(\frac{ \partial u}{ \partial x}+\frac{ \partial v}{ \partial y} + \frac{ \partial w}{ \partial z}\\\\\)

= (yzt) + (-xzt²) + 2z(xt² - yt)

=  (yzt) + (-xzt²) + 2zxt² - 2zyt

= -yzt + xzt²

≠ 0

This means, this set of equations represents the steady flow.

(c) u = x² + 2y + z²; v = x − 2y + z; w = − 2xz + y² + 2z

\(\frac{ \partial u}{ \partial x}+\frac{ \partial v}{ \partial y} + \frac{ \partial w}{ \partial z}\\\\\)

= (2x + 0 + 0) + (0 - 2 + 0) + (-2x + 0 + 2)

= 2x - 2 - 2x + 2

= 0

This means, this set of equations represents the incompressible flow.

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Answer:

y = - 3

Step-by-step explanation:

the midline is a horizontal line positioned midway between the maximum and minimum values of the graph.

maximum = - 1 and minimum = - 5

then

(- 1 + (- 5)) ÷ 2 = (- 1 - 5) ÷ 2 = - 6 ÷ 2 = - 3 so equation of midline is

y = - 3

Answer:

58

Step-by-step explanation:

65 + 57 = 122

A triangle is 180 degrees

180 - 122 = 58

58  is the missing measurement

Answer:

50.75

Step-by-step explanation:

We have:

\(E[g(x)] = \int\limits^{\infty}_{-\infty} {g(x)f(x)} \, dx \\\\= \int\limits^{1}_{-\infty} {g(x)(0)} \, dx+\int\limits^{6}_{1} {g(x)\frac{2}{x} } \, dx+\int\limits^{\infty}_{6} {g(x)(0)} \, dx\\\\= \int\limits^{6}_{1} {g(x)\frac{2}{x} } \, dx\\\\=\int\limits^{6}_{1} {(4x+3)\frac{2}{x} } \, dx\\\\=\int\limits^{6}_{1} {(4x)\frac{2}{x} } \, dx + \int\limits^{6}_{1} {(3)\frac{2}{x} } \, dx\\\\=\int\limits^{6}_{1} {8} \, dx + \int\limits^{6}_{1} {\frac{6}{x} } \, dx\\\\\)

\(=8\int\limits^{6}_{1} \, dx + 6\int\limits^{6}_{1} {\frac{1}{x} } \, dx\\\\= 8[x]^{^6}_{_1} + 6 [ln(x)]^{^6}_{_1}\\\\= 8[6-1] + 6[ln(6) - ln(1)]\\\\= 8(5) + 6(ln(6))\\\\= 40 + 10.75\\\\= 50.74\)

Answer:

90×0.7

Step-by-step explanation:

I think this is the correct answer.

100-30=70

70=0.7

Answer:

x=3 is the extraneous solution

Step-by-step explanation:

|4x-42| = -10x

Since it's absolute value and we know that there are two possibilities, we need two equations to set up to solve for x.

1st equation:

2nd equation:

Solve both equations for x:

Plug in both values for x in the original equation to find the extraneous solution:

x=-7

x=3

Answer:

-

you write the answer here

Step-by-step explanation:

and explain here

Answer:

143.5 =1 decimal point

Step-by-step explanation:

Answer:

A. -25

Step-by-step explanation:

3x + 4 (-x - 5)

3x + 4 (-10)

15+4(-10)

15 + (-40)= -25

The maximum amount you can finance is $896.

We are given that;

The monthly gross income = $3,200

Now,

28% of your gross monthly income on your mortgage, including taxes and insurance

The percentage = 28%

3200* 28/100

=32*28

=896

Therefore, by percentage the answer will be $896.

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The calculated length of the segment MN in the triangle is 20

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

The triangle

The third angle in the triangle is calculated as

Third angle = 180 - 50 - 50

Evaluate

Third angle = 80

The length of the segment MN is then calculated as

MN/sin(50) = 20/sin(50)

This gives

MN = sin(50) * 20/sin(50)

Evaluate

MN = 20

Hence, the length of the segment MN in the triangle is 20

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The claim of Carly is correct that the sum of the deviations for a data set will always be 0.

Mean of a set of data is defined as the average of all the values. It gives the exact middle point of the data set.

Sum of the deviations of a data set is always 0.

This is because that the sum of the positive deviations is equal to the sum of the negative deviations.

Let a data set be 3, 2, 4, 5, 1

Mean = (3 + 2 + 4 + 5 + 1) / 5 = 3

Values     Deviations

3               3 - 3 = 0

2               2 - 3 = -1

4               4 - 3 = 1

5               5 - 3 = 2

1                1 - 3 = -2

Sum of the deviations = 0 - 1 + 1 + 2 - 2 = 0

Hence the sum of the deviations for a data set will always be 0.

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Answer:

I'm going to guess a statment since you didn't provide any

they both have a slope of 1x

Step-by-step explanation:

The ratio of chocolate bars More Preferred: (9 chocolate bars, 3 glasses of milk); Equally Preferred: (6 chocolate bars, 3 glasses of milk); Less Preferred: (3 chocolate bars, 2 glasses of milk) and (9 chocolate bars, 2 glasses of milk).

The ratio of chocolate bars to glasses of milk that Isabel consumes is 3-to-1. This means that whenever she has 3 chocolate bars, she also has 1 glass of milk. Currently, Isabel has 6 chocolate bars and 2 glasses of milk. The bundles listed above are compared to Isabel's current consumption. Out of the five bundles, the one with 9 chocolate bars and 3 glasses of milk is more preferred than what Isabel currently has because it has more of the ratio than Isabel's current consumption. The bundle with 6 chocolate bars and 3 glasses of milk is equally preferred because it holds the same ratio as Isabel's current consumption. The bundles with 3 chocolate bars and 2 glasses of milk and 9 chocolate bars and 2 glasses of milk are less preferred because they both have less of the ratio than Isabel's current consumption.

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Step-by-step explanation:

Just multiply the two dimensions to get m^2  area

7.2 m * 11 m = 79.2 m^2

24 HOURS * 60 MINUTES = 1440 MINUTES

1,440 MINUTES / 2 (HALF DAY) = 720

ANSWER: THE MINUTE HAND MAKES 720 COMPLETE ROUNDS DURING HALF A DAY.

The unknown angles of the kites are as follows:
m∠1 = 90°

m∠2 = 65°

m∠3 = 90

m∠4 = 65°

m∠5 = 25°

A kite is a quadrilateral that has 90° angles at the point of intersection of the two diagonals. The sum of angles in a kite is 360 degrees.

Therefore, the diagonal of a kite bisect each other at right angle.

Diagonals also bisect each angles.

Using the diagonal theorem of the kite,

m∠1 = 90 degrees

m∠2 = 180 - 25 - 90 = 65 degrees(sum of angles in a triangle)

m∠3 = 90 degrees

m∠4 = 65 degrees(Base angles of an isosceles triangles are congruent)

m∠5 = 25 degrees

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Answer:

D

Step-by-step explanation:

There is only one vertical asymptote, x = 1.

Only D has vertical asymptote, x = 1.

Answer:

  64/729

Step-by-step explanation:

(2/3)^6 = (2^6)/(3^6) = 64/729

Step-by-step explanation:

This is of the form

(x-h)^2 + ( y-k)^2 = r^2        so r^2 = 16  means r = 4   units

The graph which represents the polar curve r = -4 sin ( 3θ ) is plotted

Polar coordinates describe the position of a point P in the plane by its separation from the origin, r, and the angle formed between the positive x-axis and the line segment leading to P.

To graph the polar curve, we make use of the following representations:

r represents the y-axis

θ represents the x-axis

Polar coordinates can also be extended into three dimensions using the coordinates (ρ, φ, θ), where ρ is the distance from the pole, φ is the angle from the z-axis ( called the co-latitude or zenith and measured from 0 to 180° ) and θ is the angle from the x-axis ( as in the polar coordinates ).

Given data ,

Let the polar curve be represented as A

Now , the polar coordinates is given as

r = -4 sin ( 3θ )

And , To graph the polar curve, we make use of the following representations:

r represents the y-axis

θ represents the x-axis

So , on simplifying , we get

The graph which represents the polar curve r = -4 sin ( 3θ ) is plotted

Hence , the polar curve is r = -4 sin ( 3θ )

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Answer:

D

Step-by-step explanation:

Answer: The greatest common factor of the two is 5.

Step-by-step explanation:

The greatest common factor is something that can be seen between the two as relation.

Answer:

5/12 would be the answer

Answer:

It can be decomposed into the following simplest shapes:

Two Rectangles and one Triangle.

The area is 242 ft2

Step-by-step explanation: