Find the area of the smaller sector. Round to the nearest tenth. 130 8.02

Find The Area Of The Smaller Sector. Round To The Nearest Tenth. 130 8.02

Answers

Answer 1

Answer:

73.0 m²

Step-by-step explanation:

[tex] A = \dfrac{n}{360^\circ}\pi r^2 [/tex]

[tex] A = \dfrac{130^\circ}{360^\circ}\pi (8.02~m)^2 [/tex]

[tex] A = 73.0~m^2 [/tex]


Related Questions

Pablo’s hair was 1/2 inch long.Jason’s hair was 3 times as long. How long is Jason’s hair?PLEASE HELP QUICK

Answers

Answer:

Step-by-step explanation:

so you have 1/2 times 3 = 1.5

Point P is the centroid of △LMN. Find PN and QN. QN=18

Answers

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. 

A circular fountain has a radius of 6.8 feet. Find its diameter and circumference to the nearest hundredth. Use 3.14 for π.

Answers

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

To find the diameter and circumference:

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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hey I need help with this T=M(4+FG) for G

Answers

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

How to change the subject of the formula?

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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63 is 30% of what number?

21
93
210
300

Answers

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

Find the missing coordinates such that the three vectors form an orthonormal basis for R3:

Answers

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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Geometry!!! I need help with this problem!

Answers

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°.

Area of Kite

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.

What is the kite formula?

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

The perimeter of a kite is 2(Side1+Side2)The area of a kite is ½ × (d)1 × (d)2A kite has two pairs of adjacent equal sides.A kite is a cyclic quadrilateral, hence, satisfies all the properties of a cyclic quadrilateral.How can the value of x in a shape be determined?

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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nicole is driving she has 14 gallons of gas she useds 1 gallon every 30 miles let G represent the gallons and Dz the distance she travel;s

Answers

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

e. Price: $2.20
10% off
Discount amount: ????
Discount price: ????

Answers

10% off of $2.20 would make the total $1.98 meaning you’re getting it 22 cents cheaper. I hope a helped and have a great day/night

NO LINKS!!

You just found out that your retirement fund is losing money at an annual rate of 6.3% compounded quarterly. Currently, you have $56,700 in the account.

a. Write an equation to show how much money will be in the account for any number of years.

b. How much will the account be worth after 14 years? Show or explain how you know.

Answers

The equation for the value of the account for any number of years would be:

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)

To find out how much the account will be worth after 14 years, we can plug in 14 for t in the equation above:

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.

r=11 m h=22 m what is the volume

Answers

The volume of the given cylinder is 8358.68 m³.

What is the volume?

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?

find two whole numbers that are closest to v42. explain your reasoning

Answers

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.

Classify the following triangle as acute, obtuse, or right.
• A. Acute
• B. Obtuse
• C. Right
D. None of these

Answers

Answer:

Right

Step-by-step explanation:

because the biggest angle of the triangle is equal 90

Answer:

C. Right angled triangle

Which of the following items describe the problems with early forms of money select all that apply

Answers

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

what is unitary method ?

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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Number of pennies in a stack that is 1 ft high HELP! pls.....

Answers

Answer:

84,480 pennies!

Step-by-step explanation:

Select the correct answer. Which value of x makes the equation true? 3 ⁢ x − 6 3 = 7 ⁢ x − 3 6 A. -11 B. -9 C. -3 D. 3

Answers

Answer:

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

Question
For which intervals is the function increasing?

Select each correct answer.

(1,2)

(0,1)

(−∞,0)

(2,∞)

Answers

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

What is a function?

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 Fernando family spends $800 per month on rent. If this is 15% of their monthly budget, then what is their monthly budget?
1 point

Answers

Answer:

120

Step-by-step explanation:

Solve the application problem.
Find the perimeter of a rectangle with a length of 1 3/4 ft and a width of 1/3 ft.

Plsssss hellppp

Answers

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

[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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Find the zero(s) of g open parentheses x close parentheses if g open parentheses x close parentheses equals fraction numerator x plus 4 over denominator x minus 6 end fraction.

Answers

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

How to find the zero of a function?

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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A water tower has a volume of 982m3 . Find how many liters of water it would take to completely fill the water tower. Use the table of conversion facts, as needed. Conversion facts for volume and capacity cubic centimeter milliliter cubic decimeter liter cubic meter kiloliter

Answers

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

How to find the quantity of water ?

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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calculate the density of an apple witha mass of 80 grams and a volume of 160 ml

I will mark brainlest

Answers

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

To calculate the density of an object, you divide its mass by its volume.

Density = mass / volume

So for an apple with a mass of 80 grams and a volume of 160 ml, the density would be:

Density = 80 grams / 160 ml

Density = 0.5 g/ml

So the density of the apple is 0.5 g/ml.

If Yazmin’s rate were 20 min/mi, the graph would be a straight line through

Answers

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

Examine the triangle below, solve for x, rounded to two decimal places.
16
45°

Answers

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)

Find the value of this expression if x = 9.
x² +9
4
x+1

Answers

Answer: x ∈ {-0.0107639, 10.3225694}

calculate the static thrusts of the rocket and turbojet engines described in the figure. the thrust t is the force necessary to prevent horizontal

Answers

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.

Sketch the graph of the function. f(x, y) = sqrt 4 − 4x^2 − y^2

Answers

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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Which phrase describes the variable expression y-12

A. The quotient of y and 12

B. Y increased by 12

C. The product of y and 12

D. Y decreased by 12

Answers

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.

Kylie used b beads to make each necklace she made 14 necklaces in all write an expression that shows the total number of beads

Answers

The expression 14b shows the total number of beads in one necklace.

What is multiplication?

Multiplication is a mathematical arithmetic operation. It is also a process of adding the same types of expression for some number of times.

Example - 2 × 3 means 2 is added three times, or 3 is added 2 times.

Given:

Kylie used b beads to make each necklace.

She made 14 necklaces.

So,

the total number of beads,

= 14 x number of beads in one necklace.

The total number of beads,

= 14 x b

The total number of beads,

= 14b

Therefore, 14b is the required expression.

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In the diagram below, mMON = 142°, m MOP= 2x+1, and m/ NOP = 2x
+1. What are the exact measures of the angles?
P
M
A. mz MOP = 141
m2 NOP=11
B. m/ MOP = 70
m2 NOP=74
C. m MOP= 71
m2 NOP=71
D. m/ MOP = 140
m2 NOP = 70

Answers

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

what are angles?

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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